Professor Norman Christ — Curriculum Vitae Name: Norman H

Professor Norman Christ — Curriculum Vitae Name: Norman H. Christ

Address: Department of Physics Columbia University New York, NY

Telephone: 212 854 3307 Email address: [email protected]

Current Position Professor of Physics Columbia University (1999-) Previous Positions Chair, Department of Physics Columbia University (1994-1999) Associate Professor Columbia University (1969-1974) Assistant Professor Columbia University (1966-1969) Instructor Princeton University (1967-1969)

Education Ph.D., Columbia University (1966) B.A., Columbia University (summa cum laude) (1965)

Honors and Awards: Salutatorian, Columbia College (1965) Sloan Fellowship (1967) American Physical Society Fellow (1981) Gordon Bell Prize (1998) Ken Wilson Lattice Award (2012) Publications:

1. N. H. Christ and T. D. Lee, Possible Tests of Cst and Tst Invariances in l± + N → l +Γ and A → B + e+e−, Phys. Rev. 143, 1310 (1966).

2. N. H. Christ and T. D. Lee, Receprocity Relations in Photopion Reac- tions, Phys. Rev. 148, 1520 (1966).

3. N. H. Christ and T. D. Lee, Possible CP Violation in K± → π±π0 + γ, Phys. Rev. 159, 1292 (1967).

4. N. H. Christ, A Renormalizable Theory of the Weak Interactions, Phys. Rev. 176, 2086, 176 (1968).

5. N. H. Christ, A Method for Computing Scattering Matrix Elements in a Class of Non-Renormalizable Field Theories, in Nonpolynomial Lagrangians, Renormalization and Gravity, Tracts in Mathematics and Natural Sciences, Vol 1, Gordon and Breach, 69 (1971).

6. N. H. Christ and T. D. Lee, CP Nonconservation and Inequalities Be- + − 0 0 tween µ µ and 2γ Decay Rates of KS and KL, Phys. Rev. D4, 209 (1971).

7. N. H. Christ, Finite Predictions from a Non-renormalizable Field The- ory, Phys. Rev. D5, 2486 (1972).

8. N. H. Christ, B. Hasslacher and A. H. Mueller, Light Cone Behavior of Perturbation Theory, Phys. Rev. D6, 3542 (1972).

9. N. H. Christ, Perturbation Theory and the Light Cone, in Proceedings of the XVI International Conference on High Energy Physics,Vol2, eds. J. D. Jackson and A. Roberts, National Accelerator Laboratory, 122 (1972).

10. N. H. Christ, F. J. Farley and H. M. Hereward, On the Feasibility of Colliding Beam Experiments with Longitudinally Polarized Electrons, Nucl. Instrum. and Meth. 115, 227 (1974).

11. N. H. Christ Application of Conformal Symmetry to Quantum Electro- dynamics, Phys. Rev. D9, 946 (1974). 12. N. H. Christ Theory of Magnetic Monopoles with Non-Abelian Gauge Symmetry, Phys. Rev. Lett. 34, 355 (1975).

13. N. H. Christ and T. D. Lee, Quantum Expansion of Soliton Solutions, Phys. Rev. D12, 1606 (1975).

14. N. H. Christ, Quantum Expansion of Soliton Solutions, Phys. Reports 23C, 294 (1976).

15. N. H. Christ, A. H. Guth and E. J. Weinberg, Canonical Formalism for Gauge Theories with Application to Monopoles, Nucl. Phys. B114, 61 (1976).

16. C. Bernard, N. H. Christ, A. H. Guth and E. J. Weinberg, Instanton Parameters for Arbitrary Gauge Groups, Phys. Rev. D16, 2967 (1977).

17. N. H. Christ, E. J. Weinberg, N. K. Stanton, General Self-Dual Yang- Mills Solutions, Phys. Rev. D18, 2013 (1978).

18. N. H. Christ, Self-dual Yang-Mills Solutions, in Proceedings of the NSF Summer Workshop on Applications of Complex Manifold Techniques to Problems in Theoretical Physics, University of Kansas, Lawrence, Kansas, 45 (1978).

19. N. H. Christ, Uniﬁed Weak and Electromagnetic Interactions, Baryon Number Nonconservation and the Atiyah-Singer Theorem, 234, ibid.

20. N. H. Christ, Conservation Law Violation at High Energy by Anoma- lies, Phys. Rev. D21, 1591 (1980).

21. N. H. Christ and R. Jackiw, Equality of Magnetic Charge and Pontrya- gin Index for Yang-Mills Dyons, Phys. Lett. B91, 228 (1980).

22. N. H. Christ, T. D. Lee, Operator Ordering and Feynman Rules in Gauge Theories, Phys. Rev. D22, 939 (1980).

23. N. H. Christ, Operator Ordering and Feynman Rules in Gauge Theo- ries, Physica Scripta 23, 970, (1980). 24. N. H. Christ, Operator Ordering and Feynman Rules in Gauge The- ories, in High Energy Physics – 1980, eds. L. Durand and L. G. Pon- drom (New York, American Institute of Physics) Vol. 2, 1022 (1981).

25. A. S. Blaer, N. H. Christ, J-F. Tang, Anomalous Fermion Production by a Julia-Zee Dyon, Phys. Rev. Lett. 47, 1364 (1981).

26. A. S. Blaer, N. H. Christ, J-F. Tang, Fermion Emission from a Julia- Zee Dyon, Phys. Rev. D25, 2128 (1982).

27. N. H. Christ, R. Friedberg, T. D. Lee, Random Lattice Field Theory: General Formulation, Nucl. Phys. B202, 89 (1982).

28. N. H. Christ, R. Friedberg, T. D. Lee, Gauge Theory on a Random Lattice, Nucl. Phys. B210, 310 (1982).

29. N. H. Christ, R. Friedberg, T. D. Lee, Weights of Links and Plaquettes in a Random Lattice, Nucl. Phys. B210, 337 (1982).

30. N. H. Christ, QCD on a Random Lattice, in Proceedings, Lattice Gauge Theory, Supersymmetry and Grand Uniﬁcation, (Florence), 47 (1982).

31. N. H. Christ, QCD on a Random Lattice, in Field Theory In Elementary Particles, (Coral Gables), 419 (1982).

32. N. H. Christ and A. E. Terrano, Hardware matrix Multiplier / Accu- mulator for Lattice Gauge Theory, Nucl. Instrum. Meth. A222, 534 (1984).

33. N. H. Christ and A. E. Terrano, A Very Fast Parallel Processor, IEEE Transactions on Computers, C-33, 344 (1984).

34. N. H. Christ, Lattice Gauge Theory with Special Processors and Super- computers, in Proceedings of the Oregon Meeting, ed. R. Hwa (Singa- pore, World Scientiﬁc), 593 (1985).

35. N. H. Christ and A. E. Terrano, The Deconﬁning Phase Transition in Lattice QCD, Phys. Rev. Lett. 56, 111 (1986). 36. N. H. Christ, Lattice Gauge-Theory with a Fast Highly Parallel Com- puter, J. Stat. Phy. 43, 1061 (1986).

37. N. H. Christ and A. E. Terrano, A Micro-based Supercomputer, Byte 11, 145 (1986).

38. N. H. Christ, The Columbia Supercomputer Project, Nucl. Phys. B (Proc. Suppl.) 1A, 95 (1987).

39. N. H. Christ, The Columbia Supercomputer Project: Physics Results and Present Status, in Lattice Gauge Theory ’86, eds. H. Satz, I. Har- rity and J. Potvin (Plenum Press, New York) 55 (1987).

40. N. H. Christ, Specialized Computers for Lattice Gauge Theory, in Lattice Gauge Theory Using Parallel Processors, eds. X. Y. Li, Z. M. Qiu and H. C. Ren, (Gordon and Breach, New York), 139 (1987).

41. N. H. Christ, The Columbia Supercomputer Project: Physics Results and Present Status, Nucl. Phys. B (Proc. Suppl.) 4, 241 (1988).

42. N. H. Christ and H. Q. Ding, Latent Heat and Critical Temperature of the Color-Deconﬁning Phase Transition, Phys. Rev. Lett. 60, 1367 (1988).

43. F. R. Brown and N. H. Christ, Parallel Supercomputers for Lattice Gauge Theory, Science 239, 1393 (1988).

44. F. R. Brown, N. H. Christ, Y. Deng, M. Gao and T. J. Woch, Nature of the Deconﬁning Phase Transition in SU(3) Lattice Gauge Theory, Phys. Rev. Lett. 61, 2058 (1988).

45. N. H. Christ, QCD Machines, Nucl. Phys. (Proc. Suppl.) 9 549 (1989).

46. N. H. Christ, Status of the Columbia 256-node Machine, Nucl. Phys. (Proc. Suppl.) 17, 267 (1990).

47. N. H. Christ, QCD Machines: Present and Future, in Computing in High Energy Physics, (Santa Fe, NM), 541 (1990).

48. N. H. Christ, Plans for a 1 Teraﬂop Lattice QCD Computer, 564, ibid. 49. N. H. Christ, The QCD Phase Transition, with and without Quark Loops, in DPF ’90, (Houston, TX), 780 (1990).

50. F. R. Brown, F. P. Butler, N. H. Christ, H. Chen, Z. Dong, W. Schaﬀer, L. I. Unger and A. Vaccarino, On the Existence of a Phase Transition for QCD with Three Light Quarks, Phys. Rev. Lett. 65, 2491 (1990).

51. F. R. Brown, F. P. Butler, H. Chen, N. Christ, Z-H. Dong, W. Schaf- fer, L. I. Unger, A. Vaccarino, The QCD Phase Transition with Four Flavors of Light Quarks, Phys. Lett. B251 181 (1990).

52. F. R. Brown, F. P. Butler, N. H. Christ, H. Chen, Z. Dong, W. Schaﬀer, L. I. Unger and A. Vaccarino, Hadron Masses in QCD with Two Flavors of Dynamical Fermions at β =5.7, Phys. Rev. Lett. 67, 1062 (1991).

53. N. H. Christ, QCD Machines: Present and Future, Nucl. Phys. (Proc. Suppl.) 20, 129 (1991).

54. S. Aoki, R. Shrock (SUNY, Stony Brook), B. Berg, K. Bitar, R. Ed- wards, U.M. Heller, A. Kennedy, S. Sanielevici (Florida State U.), C. Bernard, M. Ogilvie, D. Petcher (Washington U., St. Louis), G. Bhanot, P. Rossi (Thinking Machines, Cambridge), R. Brower, J. Potvin, C. Rebbi (Boston U.), F. R. Brown, N. Christ, R. Mawhinney (Columbia U.), C. Detar (Utah U.), T. Draper, K. F. Liu (Kentucky U.), S. Got- tlieb (Indiana U.), H. Hamber (UC, Irvine), G. Kilcup, J. Shigemitsu (Ohio State U.), J. Kogut (Illinois U., Urbana), A. Kronfeld (Fer- milab), I. H. Lee (Rockefeller U.), J. Negele (MIT, LNS), S. Ohta (Wako, RIKEN), J. C. Sexton (Trinity Coll., Dublin), E. Shuryak (SUNY, Stony Brook), D. K. Sinclair (Argonne), A. Soni (Brookhaven), W. Wilcox (Baylor U.), Physics Goals of the QCD Teraﬂops Project, Int. J. Mod. Phys. C2 829 (1991).

55. N. H. Christ, QCD with Eight Flavors of Dynamical Quarks, in Hot Summer Daze, Brookhaven, NY, 37 (1991).

56. F. R. Brown, F. P. Butler, N. H. Christ, H. Chen, Z. Dong, W. Schaﬀer, L. I. Unger and A. Vaccarino, Hadron Masses in QCD with Two Flavors of Dynamical Fermions at β =5.7, Phys. Rev. Lett. 67, 1062 (1991). 57. N. H. Christ, The QCD Phase Transition with 2, 3 and 4 Flavors of Dynamical Quarks, Nucl. Phys. A527, 539 (1991).

58. N. H. Christ, Finite Temperature QCD, Nucl. Phys. A544, 81 (1992).

59. F. R. Brown, H Chen, N. H. Christ, Z. Dong, R. Mawhinney, W. Schaf- fer and A. Vaccarino, Lattice QCD with Eight Light Quark Flavors, Phys. Rev. D46, 5655 (1992).

60. Z-H. Dong, N. H. Christ, QCD Phase Structure with 8 Light Quark Flavors, Nucl. Phys. (Proc. Suppl.) 26, 314 (1992).

61. N. H. Christ, Recent Results from the 256-node Columbia Machine, Nucl. Phys. (Proc. Suppl.) 26, 217 (1992).

62. N. H. Christ, Recent Results from the Columbia Machine, in XXVI International Conference on High Energy Physics, (Dallas, TX), 1517 (1992).

63. N. H. Christ, Eight Flavor QCD, Nucl. Phys. Proc. Suppl. 30, 323 (1993).

64. N. H. Christ, Lattice QCD with Dynamical Quarks: New Results and Future Prospects, Proceedings of the XXVII International Conference on High Energy Physics, eds. P.J. Bussey and I. G. Knowles (Bristol, Institute of Physics Publishing), Vol II, 705 (1995).

65. I. Arsenin, D. Chen, N. H. Christ, R. Edwards, A. Gara, S. Hansen, A. Kennedy, R. Mawhinney, J. Parsons and J. Sexton, A 0.5 Teraﬂops Machine Optimized for Lattice QCD in Nucl. Phys. B (Proc. Suppl.) 34, 820 (1994).

66. I. Arsenin, D. Chen, N. H. Christ, R. Edwards, A. Gara, S. Hansen, C. Jung, A. Kaehler, A. Kennedy, G. Kilcup, Y. Luo, R. Mawhin- ney, J. Parsons and J. Sexton, P. Vranas Architectural Choices for the Columbia 0.8 Teraﬂops Machine, Nucl. Phys. (Proc. Suppl.) 42, 902 (1995) (hep-lat/9412093).

67. I. Arsenin, D. Chen, N. H. Christ, R. Edwards, A. Gara, S. Hansen, C. Jung, A. Kaehler, A. Kennedy, G. Kilcup, Y. Luo, C. Malureanu, R. Mawhinney, J. Parsons and J. Sexton, C. Sui, P. Vranas Status of the 0.8-Teraﬂops Supercomputer at Columbia, Nucl. Phys. (Proc. Suppl.) 47, 804 (1996) (hep-lat/9509075).

68. S. Chandrasekharan and N. H. Christ, Dirac Spectrum, Axial Anomaly, and the QCD Chiral Phase Transition, Nucl. Phys. (Proc. Suppl.) 47, 527 (1996) (hep-lat/9509095).

69. N. H. Christ, Chiral Symmetry Breaking above the QCD Phase Tran- sition, Nucl. Phys. (Proc. Suppl.) 53, 253 (1997).

70. Dong Chen, Ping Chen, N H. Christ, R. G. Edwards, G. Fleming, A. Gara, S. Hansen, Chulwoo Jung, A. Kahler, S. Kasow, A. D. Kennedy, G. Kilcup, Yu Bing Luo, C. Malureanu, R. D. Mawhinney, J. Parsons, Jim Sexton, ChengZhong Sui, P. Vranas, QCDSP: A Teraﬂop Scale Massively Parallel Supercomputer Supercomputing, ACM/IEEE 1997 Conference 15-21 Nov. 1997, 52 (1997).

71. D. Chen, P. Chen, N. H. Christ, R. Edwards, G. Fleming, A. Gara, S. Hansen, C. Jung, A. Kaehler, A. Kennedy, G. Kilcup, Y. Luo, C. I. Malureanu, R. D. Mawhinney, J. Parsons and J. C. Sexton, C. Sui, P. M. Vranas, QCDSP: A Status Report, Nucl. Phys. (Proc. Suppl.) 63, 997 (1998) (hep-lat/9709135).

72. D. Chen, P. Chen, N. Christ, R. Edwards, G. Fleming, A. Gara, S. Hansen, C. Jung, A. Kaehler, S. Kasow, A. Kennedy, G. Kilcup, Y. Luo, C. Malureanu, R. Mawhinney, J. Parsons, J. Sexton, C-Z. Sui, P. Vranas, The QCDSP Project: a Status Report, Nucl. Phys. (Proc. Suppl.) 60A, 241 (1998).

73. N. H. Christ, Anomalous Chiral Symmetry Breaking above the QCD Phase Transition, Nucl. Phys. (Proc. Suppl.) 60A, 203 (1998).

74. S. Chandrasekharan, D. Chen, N. H. Christ, W. Lee, R. D. Mawhinney, P. Vranas, Anomalous Chiral Symmetry Breaking above the QCD Phase Transition, Phys. Rev. Lett. 82 2464 (1999) (hep-lat/9807018).

75. P. Vranas, P. Chen, N. Christ, G. . Fleming, A. Kaehler, C. Malureanu, R. Mawhinney, G. Siegert, C. Sui, Y. Zhestkov, Dynamical QCD Ther- modynamics with Domain Wall Fermions, Nucl. Phys. (Proc. Suppl.) 73, 456 (1999) (hep-lat/9809159). 76. G. T. Fleming, P. Chen, N. H. Christ, A. L. Kaehler, C. I. Malure- anu, R. D. Mawhinney, G. U. Siegert, C-Z. Sui, P. M. Vranas, Y. Zh- estkov, The Domain Wall Fermion Chiral Condensate in Quenched QCD, Nucl. Phys. (Proc. Suppl.) 73, 207 (1999) (hep-lat/9811013). 77. D. Chen, P. Chen, N. H. Christ, R. Edwards, G. Fleming, A. Gara, S. Hansen, C. Jung, A. Kaehler, A. Kennedy, G. Kilcup, Y. Luo, C. I. Malureanu, R. D. Mawhinney, J. Parsons and J. C. Sexton, C. Sui, P. M. Vranas, Yuri Zhestkov, Status of the QCDSP Project, Nucl. Phys. (Proc. Suppl.) 73, 898 (1999) (hep-lat/9810004). 78. R. Mawhinney, P. Chen, N. Christ, G.T. Fleming, A. Kaehler, C. Malure- anu, G. Siegert, C. Sui, P. Vranas, Y. Zhestkov, Quenched QCD with Domain Wall Fermions, Nucl. Phys. (Proc. Suppl.) 73, 204 (1999) (hep-lat/9811026). 79. P. Chen, N. Christ, G. Fleming, A. Kaehler, C. Malureanu, R. Mawhin- ney, C. Sui, P. Vranas, Y. Zhestkov, Domain wall fermion zero modes on classical topological backgrounds, Phys.Rev. D59 054508 (1999) (hep- lat/9807029). 80. A. Kaehler, P. Chen, N. Christ, G.T. Fleming, C. Malureanu, R. Mawhin- ney, G. Siegert, C. Sui, P. Vranas, Yu. Zhestkov, The Anomaly and Topology in Quenched QCD above Tc, Nucl. Phys. (Proc. Suppl.) 73, 405 (1999) 81. P. Chen, N. H. Christ, G. Fleming, A. Kaehler, C. Malureanu, R. D. Mawhin- ney, G Siegert, C. Sui, P. Vranas, Y. Zhestkov, Toward the Chiral Limit of QCD: Quenched and Dynamical Domain Wall Fermions in Proceedings of XXIX International Conference on High-Energy Physics, (Vancouver, Canada) (1999)(hep-lat/9812011) 82. N. Christ, Computers for Lattice QCD, Nucl. Phys. (Proc. Suppl.) 83, 111 (2000) (hep-lat/9912009). 83. P. Chen, N. Christ, G. Fleming, A. Kaehler, C. Malureanu, R. Mawhin- ney, G. Siegert, C. Sui, L. Wu, Y. Zhestkov, The Finite Temperature QCD Phase Transition with Domain Wall Fermions, Phys. Rev. D64 014503 (2001) (hep-lat/0006010).

84. T. Blum, P. Chen, N. H. Christ, C. Cristian, C. Dawson, G. Fleming, A. Kaehler, X. Liao, G. Liu, C. Malureanu, R. Mawhinney, S. Ohta, G. Siegert, A. Soni, C. Sui, P. Vranas, M. Wingate, L. Wu, Y. Zhestkov, Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit, Phys. Rev. D 69, 074502 (2004) (hep-lat/0007038).

85. D. Chen, N. H. Christ, C. Cristian, Z. Dong, A. Gara, K. Garg, B. Joo, C. Kim, L. Levkova, X. Liao, R.D. Mawhinney, S. Ohta, T. Wettig, QCDOC: A 10-Teraﬂops Scale Computer for Lattice QCD, Nucl. Phys. (Proc.Suppl.) 94, 825 (2001) (hep-lat/0011004).

86. T. Blum, N. H. Christ, C. Cristian, C. Dawson, G. Fleming, X. Liao, G. Liu, S. Ohta, A. Soni, P. Vranas, R. D. Mawhinney, M. Wingate, L. Wu, Y. Zhestkov, K → ππ Decays with Domain Wall Fermions: Lattice Matrix Elements, Nucl. Phys. (Proc. Suppl.) 94, 291 (2001) (hep-lat/0011042).

87. T. Blum, N. Christ, C. Cristian, C. Dawson, G. Fleming, G. Liu, R. Mawhinney, A. Soni, P. Vranas, M. Wingate, L. Wu, Y. Zhestkov, Nonperturbative Renormalization of Domain Wall Fermions: Quark Bilinears, Phys. Rev. D66 014504 (2002) (hep-lat/0102005).

88. T. Blum, N. Christ, C. Cristian, C. Dawson, X. Liao, G. Liu, R. Mawhin- ney, L. Wu, Y. Zhestkov, Chirality Correlation within Dirac Eigen- vectors from Domain Wall Fermions, Phys. Rev. D66, 014504 (2002) (hep-lat/0105006).

89. P. A. Boyle, D. Chen, N. H. Christ, C. Cristian, Z. Dong, A. Gara, B. Joo, C. Kim, L. Levkov, X. Liao, G. Liu, R. D. Mawhinney, S. Ohta, T. Wettig, A. Yamaguchi, Status of the QCDOC project, Nucl. Phys. (Proc. Suppl.) 106, 177 (2002) (hep-lat/0110124).

90. T. Blum, P. Chen, N. Christ, C. Cristian, C. Dawson, G. Fleming, R. Mawhinney, S. Ohta, G. Siegert, A. Soni, P. Vranas, M. Wingate, L. Wu, Y. Zhestkov, Kaon matrix elements and CP-violation from quenched lattice QCD. I: The 3-flavor case, Phys. Rev. D68, 114506 (2003) (hep-lat/0110075). 91. Y. Aoki, T. Blum, N. Christ, C. Cristian, C. Dawson, T. Izubuchi, G. Liu, R. Mawhinney, S Ohta, K. Orginos, A. Soni, L. Wu, Domain wall fermions with improved gauge actions, Phys. Rev. D 69, 074504 (2004) (hep-lat/0211023). 92. P. A. Boyle, D. Chen, N. H. Christ, C. Cristian, Z. Dong, A. Gara, B. Joo, C. Jung, C. Kim, L. Levkova, X. Liao, G. Liu, R. D. Mawhin- ney, S. Ohta, K. Petrov, T. Wettig, A. Yamaguchi, Status of and performance estimates for QCDOC, Nucl. Phys. (Proc. Suppl.) 119, 1041 (2003) (hep-lat/0210034). 93. P A. Boyle, D. Chen, N. H. Christ, M. Clark, S. D. Cohen, C. Cristian, Z. Dong, A. Gara, B. Joo, C. Jung, C. Kim, L. Levkova, X. Liao, G. Liu, R. D. Mawhinney, S. Ohta, K. Petrov, T. Wettig, A. Yamaguchi, Hard- ware and software status of QCDOC, Nucl. Phys. (Proc. Suppl.) 129, 838 (2004) (hep-lat/0309096). 94. N.H. Christ, X. Liao, Locating the 3-Flavor Critical Point Using Stag- gered Fermions, Nucl. Phys. Proc. Suppl. 119 514 (2003). 95. N H. Christ, G. Liu, Massive Domain Wall Fermions, Nucl. Phys. Proc. Suppl. 129 272 (2004). 96. N. H. Christ, H-W. Lin and G. Luo, New Directions in Lattice QCD, Nucl. Phys. Proc. Suppl. 128 37 (2004). 97. P. A. Boyle, D. Chen, N. H. Christ, M. Clark, S. Cohen, C. Cris- tian, Zhihua Dong, A. Gara, Balint Joo, Chulwoo Jung, L. Levkova, Xiaodong Liao, Guofeng Liu, R. D. Mawhinney, S. Ohta, K. Petrov, T. Wettig, A. Yamaguchi, QCDOC: A 10 Teraflops Computer for Tightly- Coupled Calculations, Supercomputing, 2004. Proceedings of the ACM/IEEE SC2004 Conference, 40 (2004). 98. Y. Aoki, T. Blum, N. Christ, C. Dawson, K. Hashimoto, T. Izubuchi, J. W. Laiho, L. Levkova, M. Lin, R. Mawhinney, J. Noaki, S. Ohta, K. Orginos, A. Soni, Lattice QCD with two Dynamical Flavors of Do- main Wall Quarks, Phys. Rev. D72 114505 (2005) (hep-lat/0411006). 99. P A. Boyle, D. Chen, N. H. Christ, M. Clark, S. D. Cohen, C. Cristian, Z. Dong, A. Gara, B. Joo, C. Jung, C. Kim, L. Levkova, X. Liao, G. Liu, R. D. Mawhinney, S. Ohta, K. Petrov, T. Wettig, A. Yamaguchi, The QCDOC Project, Nucl. Phys. Proc. Suppl. 140 169 (2005). 100. N. Christ, The Quenched Approximation to ∆S =1K Decay, Nucl. Phys. Proc. Suppl. 140 375 (2005). 101. N. H. Christ, C. Kim and T. Yamazaki, Finite Volume Corrections to the Two-Particle Decay of States with Non-Zero Momentum, Phys. Rev. D72 114506 (2005) (hep-lat/0507009). 102. Y. Aoki, T. Blum, N. H. Christ, C. Dawson, T. Izubuchi, R. D. Mawhin- ney, J. Noaki, S. Ohta, K. Orginos, A. Soni, N. Yamada, The Kaon B- parameter from Quenched Domain-Wall QCD, Phys. Rev. D73 094507 (2006), (hep-lat/0508011). 103. P A. Boyle, D. Chen, N. H. Christ, M. Clark, S. D. Cohen, C. Cris- tian, Z. Dong, A. Gara, B. Joo, C. Jung, C. Kim, L. Levkova, X. Liao, G. Liu, R. D. Mawhinney, S. Ohta, K. Petrov, T. Wettig, A. Yam- aguchi, Overview of the QCDSP and QCDOC computers, IBM Re- search Journal, Vol 49, No. 2/3, 351 (2005). 104. P A. Boyle, D. Chen, N. H. Christ, M. Clark, S. D. Cohen, C. Cris- tian, Z. Dong, A. Gara, B. Joo, C. Jung, C. Kim, L. Levkova, X. Liao, G. Liu, R. D. Mawhinney, S. Ohta, K. Petrov, T. Wettig, A. Yam- aguchi, QCDOC: Project Status and First Results, J. Phys. Conf. Ser. 16 129 (2005). 105. H-W. Lin and N. H. Christ, Non-perturbatively determined relativistic heavy quark action, PoS LAT2005 225 (2005) (hep-lat/0510111). 106. P A. Boyle, D. Chen, N. H. Christ, M. Clark, S. D. Cohen, C. Cristian, Z. Dong, A. Gara, B. Joo, C. Jung, C. Kim, L. Levkova, X. Liao, G. Liu, R. D. Mawhinney, S. Ohta, K. Petrov, T. Wettig, A. Yamaguchi, The Status of User Software on QCDOC, Nucl. Phys. Proc. Suppl. 140 829 (2005). 107. N. H. Christ, Estimating Domain Wall Fermion Chiral Symmetry Break- ing, PoS LAT2005, 345 (2005). 108. C. Aubin, N. H. Christ, C. Dawson, J. Laiho, J. Noaki, S. Li, A. Soni, Systematic effects of the quenched approximation on the strong penguin contribution to epsilon’/epsilon, Phys. Rev. D74:034510, 2006 (hep- lat/0603025).

109. M. Cheng, N. H. Christ, S. Datta, J. van der Heide, C. Jung, F. Karsch, O. Kaczmarek, E. Laermann, R. D. Mawhinney, C. Miao, P. Petreczky, K. Petrov, C. Schmidt and T. Umeda, The Transition temperature in QCD, Phys. Rev. D74:054507, 2006 (hep-lat/0608013).

110. Norman H. Christ, Min Li, Huey-Wen Lin, Relativistic Heavy Quark Eﬀective Action, Phys. Rev. D76:074505, 2007, (hep-lat/0608006).

111. Huey-Wen Lin, Norman Christ, Non-perturbatively Determined Rel- ativistic Heavy Quark Action, Phys. Rev. D76:074506, 2007, (hep- lat/0608005).

112. M. Cheng, N. H. Christ, C. Jung, F. Karsch, R. D. Mawhinney, P. Pe- treczky, K. Petrov, Flavor symmetry breaking and scaling for improved staggered actions in quenched QCD, Eur. Phys. J. C51:875-881, 2007, (hep-lat/0612030).

113. D.J. Antonio, T. Blum, K.C. Bowler, P.A. Boyle, N.H. Christ, S.D. Cohen, M.A. Clark, C. Dawson, A. Hart, K. Hashimoto, T. Izubuchi, B. Joo, C. Jung, A.D. Kennedy, R.D. Kenway, S. Li, H.W. Lin, M.F. Lin, R.D. Mawhinney, C.M. Maynard, J. Noaki, S. Ohta, S. Sasaki, A. Soni, R.J. Tweedie, and A. Yamaguchi, First results from 2+1-Flavor Domain Wall QCD: Mass Spectrum, Topology Change and Chiral Sym- metry with Ls = 8, Phys. Rev. D75:114501, 2007, (hep-lat/0612005). 114. M. Cheng, N. H. Christ, M.A. Clark, J. van der Heide, C. Jung, F. Karsch, O. Kaczmarek, E. Laermann, R. D. Mawhinney, C. Miao, P. Petreczky, K. Petrov, C. Schmidt, W. Soeldner, and T. Umeda, Study of the ﬁnite temperature transition in 3-ﬂavor QCD using the R and RHMC algorithms, Phys. Rev. D75:034506, 2007, (hep-lat/0612001).

115. C. Allton, D.J. Antonio, T. Blum, K.C. Bowler, P.A. Boyle, N.H. Christ, S.D. Cohen, M.A. Clark, C. Dawson, A. Hart, K. Hashimoto, T. Izubuchi, A. Juttner, C. Jung, A.D. Kennedy, R.D. Kenway, M. Li, S. Li, M.F. Lin, R.D. Mawhinney, C.M. Maynard, J. Noaki, S. Ohta, B.J. Pendleton, S. Sasaki, E.E. Scholz, A. Soni, R.J. Tweedie, A. Ya- maguchi, and T. Yamazaki, 2+1 ﬂavor domain wall QCD on a (2 fm)3 lattice: light meson spectroscopy with Ls = 16, Phys. Rev. D76:014504, 2007, (hep-lat/0701013).

116. D. J. Antonio, P. A. Boyle, T. Blum, N. H. Christ, S. D. Cohen, C. Dawson, T. Izubuchi, R. D. Kenway, C. Jung, S. Li, M. F. Lin, R. D. Mawhinney, J. Noaki, S. Ohta, B. J. Pendleton, E. E. Scholz, A. Soni, R. J. Tweedie, A. Yamaguchi, Neutral kaon mixing from 2+1 ﬂavor Domain Wall QCD, Phys. Rev. Lett. 100:032001, 2008, (hep- ph/0702042).

117. D. J. Antonio, K. C. Bowler, P. A. Boyle, N. H. Christ, M. A. Clark, S. D. Cohen, C. Dawson, A. Hart, B. Joo, C. Jung, R. D. Kenway, S. Li, M. F. Lin, R. D. Mawhinney, C. M. Maynard, S. Ohta, R. J. Tweedie, A. Yamaguchi, Localization and chiral symmetry in 2+1 ﬂavor domain wall QCD, Phys. Rev. D77:014509, 2008, (hep/lat-0705/0705.2340).

118. M. Cheng, N. H. Christ, S. Datta, J. van der Heide, C. Jung, F. Karsch, O. Kaczmarek, E. Laermann, R. D. Mawhinney, C. Miao, P. Petreczky, K. Petrov, C. Schmidt, W. Soeldner and T. Umeda, The QCD equation of state with almost physical quark masses, Phys. Rev. D77:014511 2008, (arXiv:0710.0354 [hep-lat]).

119. N.H. Christ and C. Jung, Computational Requirements of the Rational Hybrid Monte Carlo Algorithm, PoS LAT2007:028.

120. N.H. Christ, T.T. Dumitrescu, O.Loktik, T. Izubuchi, The Static approximation to B meson mixing using light domain-wall fermions: Per- turbative renormalization and ground state degeneracies, PoS LAT2007:351, 2007, (arXiv:0710.5283 [hep-lat]).

121. Y. Aoki, P.A. Boyle, N.H. Christ, C. Dawson, M.A. Donnellan, T. Izubuchi, A. J¨uttner, S. Li, R.D. Mawhinney, J. Noaki, C.T. Sachra- jda, A. Soni, R.J. Tweedie, and A. Yamaguchi, Non-perturbative renormalization of quark bilinear operators and B(K) using domain wall fermions, Phys. Rev. D78:054510, 2008, (arXiv:0712.1061 [hep-lat]). 122. C. Allton, D.J. Antonio, Y. Aoki, T. Blum, P.A. Boyle, N.H. Christ, S.D. Cohen, M.A. Clark, C. Dawson, M.A. Donnellan, J.M. Flynn, A. Hart, T. Izubuchi, A. J¨uttner, C. Jung, A.D. Kennedy, R.D. Kenway, M. Li, S. Li, M.F. Lin, R.D. Mawhinney, C.M. Maynard, S. Ohta, B.J. Pendleton, C.T. Sachrajda, S. Sasaki, E.E. Scholz, A. Soni, R.J. Tweedie, J. Wennekers, T. Yamazaki, and J.M. Zanotti, Physical Re- sults from 2+1 Flavor Domain Wall QCD and SU(2) Chiral Perturba- tion Theory, Phys. Rev. D78:114509, 2008 (arXiv:0804.0473 [hep-lat]).

123. Shu Li and Norman H. Christ, Chiral perturbation theory, K → ππ decays and 2+1 ﬂavor domain wall QCD, PoS LAT2008, 272, 2008 (arXiv:0812.1368 [hep-lat]).

124. C. Sturm, Y. Aoki, N.H. Christ, T. Izubuchi, C.T.C. Sachrajda, A. Soni Renormalization of quark bilinear operators in a MOM-scheme with a non-exceptional subtraction point, Phys. Rev. D80:014501, 2009 (arXiv:0901.2599 [hep-ph]).

125. Dwight Renfrew, Thomas Blum, Norman Christ, Robert Mawhinney, Pavlos Vranas, Controlling Residual Chiral Symmetry Breaking in Do- main Wall Fermion Simulations, PoS LAT2008, 048, 2008 (arXiv:0902.2587 [hep-lat])

126. A. Bazavov, T. Bhattacharya, M. Cheng, N.H. Christ, C. DeTar, S. Ejiri, Steven Gottlieb, R. Gupta, U.M. Heller, K. Huebner, C. Jung, F. Karsch, E. Laermann, L. Levkova, C. Miao, R.D. Mawhinney, P. Pe- treczky, C. Schmidt, R.A. Soltz, W. Soeldner, R. Sugar, D. Toussaint, P. Vranas, Equation of State and QCD Transition at Finite Tempera- ture, Phys. Rev. D80:014504, 2009 (arXiv:0903.4379 [hep-lat]).

127. Michael Cheng, Norman H. Christ, Min Li, Robert D. Mawhinney, Dwight Renfrew, Prasad Hegde, Frithjof Karsch, Meifeng Lin, Pavlos Vranas, The ﬁnite temperature QCD phase transition using 2 + 1 ﬂa- vors of domain wall fermions at Nt = 8, Phys. Rev. D81:054510, 2010 (arXiv:0911.3450 [hep-lat]).

128. Changhoan Kim, Norman H. Christ, G parity boundary conditions and ∆I =1/2, K → ππ decays PoS LAT2009:255,2009 (arXiv:0912.2936 [hep-lat]). 129. Norman H. Christ (RBC Collaboration and UKQCD Collaboration), Theoretical strategies for 0/, Presented at 2009 Kaon International Conference (KAON09), Tsukuba, Ibaraki, Japan, 9-12 Jun 2009 (arXiv:0912.2917 [hep-lat]).

130. Conrado Albertus, Yasumichi Aoki, Peter A. Boyle, Norman H. Christ, Thomas T. Dumitrescu, Jonathan M. Flynn, Tomomi Ishikawa, Taku Izubuchi, Oleg Loktik, Christopher T. Sachrajda, Amarjit Soni, Ruth S. Van de Water, Jan Wennekers, Oliver Witzel, Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks, Phys. Rev. D82:014505, 2010 (arXiv:1001.2023 [hep-lat]).

131. N.H. Christ, C. Dawson, T. Izubuchi, C. Jung, Q. Liu, R.D. Mawhin- ney, C.T. Sachrajda, A. Soni, R. Zhou, The η and η0 mesons from Lattice QCD, Phys. Rev. Lett. 105:241601, 2010 (arXiv:1002.2999 [hep- lat]).

132. Y.Aoki, R. Arthur, T. Blum, P.A. Boyle, D. Brommel, N.H. Christ, C. Dawson, J.M. Flynn, T. Izubuchi, X-Y. Jin, C. Jung, C. Kelly, M. Li, A. Lichtl, M. Lightman, M.F. Lin, R.D. Mawhinney, C.M. May- nard, S. Ohta, B.J. Pendleton, C.T. Sachrajda, E.E. Scholz, A. Soni, J. Wennekers, J.M. Zanotti, R. Zhou (RBC and UKQCD Collabora- tions), Continuum Limit Physics from 2+1 Flavor Domain Wall QCD Phys. Rev. D83:074508 2011. (arXiv:1011.0892 [hep-lat])

133. Norman H. Christ, Long-distance contributions to weak amplitudes PoS LAT2010:300, 2010. (arXiv:1012.6034v1 [hep-lat]).

134. Y. Aoki, R. Arthur, T. Blum, P.A. Boyle, D. Brmmel, N.H. Christ, C. Dawson, T. Izubuchi, C. Jung, C. Kelly, R.D. Kenway, M. Light- man, R.D. Mawhinney, Shigemi Ohta, C.T. Sachrajda, E.E. Scholz, A. Soni, C. Sturm, J. Wennekers, R. Zhou, Continuum Limit of BK from 2+1 Flavor Domain Wall QCD Phys. Rev. D84:014503, 2011 (arXiv:1012.4178 [hel-lat]).

135. T. Blum P. A. Boyle, N. H. Christ, N. Garron, E. Goode, T. Izubuchi, C. Lehner, Q. Liu, R. D. Mawhinney, C. T. Sachrajda, A. Soni, C. Sturm, H. Yin, R. Zhou K to ππ decay amplitudes from Lattice QCD Phys. Rev. D84:114503, 2011 (arXiv:1106.2714 [hep-lat]) 136. T. Blum, P. A. Boyle, N. H. Christ, N. Garron, E. Goode, T. Izubuchi, C. Jung, C. Kelly, C. Lehner, M. Lightman Q. Liu, A. T. Lytle, R. D. Mawhinney, C. T. Sachrajda, A. Soni, C. Sturm The K → (ππ)I=2 Decay Amplitude from Lattice QCD Phys. Rev. Lett. 108:141601, 2012 (arXiv:1111.1699 [hep-lat])

137. Norman H. Christ, Computing the long-distance contribution to the kaon mixing parameter K PoS LAT2011:277, 2011. (arXiv:1201.2065 [hep-lat]).

138. Martin Ohmacht, Thomas Fox, Michael Gschwind, David Satterﬁeld, Krishnan Sugavanam, Paul Coteus, Philip Heidelberger, Matthias Blum- rich, Robert Wisniewski, Alan Gara, George Chiu, Peter Boyle, Nor- man Christ, Changhoan Kim, The IBM Blue Gene/Q Compute Chip IEEE Micro, Vol 32, 48, 2012.

139. A. Bazavov, T. Bhattacharya, M.I. Buchoﬀ, M. Cheng, N.H. Christ, H.T. Ding, R. Gupta, P. Hegde, C. Jung, F. Karsch, Z. Lin, R.D. Mawhin- ney, S. Mukherjee, P. Petreczky, R.A. Soltz, P.M. Vranas, H. Yin, The chiral transition and U(1)A symmetry restoration from lattice QCD using Domain Wall Fermions, Phys. Rev. D86:094503, 2012 (arXiv:1205.3535 [hep-lat]).

140. Q. Liu, N. H. Christ and C. Jung, Light Quark Mass Reweighting, Phys. Rev. D87:054503, 2013 (arXiv:1206.0080 [hep-lat]).

141. Y. Aoki, N.H. Christ, J.M. Flynn, T. Izubuchi, C. Lehner, M. Li, H. Peng, A. Soni, R.S. Van de Water, O. Witzel, Nonperturbative tuning of an improved relativistic heavy-quark action with application to bottom spectroscopy Phys. Rev. D86:116003, 2012 (arXiv:1206.2554 [hep-lat]).

142. R. Arthur, T. Blum, P.A. Boyle, N.H. Christ, N. Garron, R.J. Hud- spith, T. Izubuchi, C. Jung, C. Kelly, A.T. Lytle, R.D. Mawhinney, D. Murphy, S. Ohta, C.T. Sachrajda, A. Soni, J.M. Zanotti, Domain Wall QCD with Near-Physical Pions, (arXiv:1208.4412 [hep-lat]).

143. N.H. Christ, T. Izubuchi, C.T. Sachrajda, A. Soni, J. Yu, Long distance contribution to the KL-KS mass diﬀerence, (arXiv:1212.5931 [hep-lat]). 144. P.A. Boyle, N.H. Christ, N. Garron, E.J. Goode, T. Janowski, C. Lehner, Q. Liu, A.T. Lytle, C.T. Sachrajda, A. Soni, D. Zhang), Emerging un- derstanding of the ∆I =1/2 Rule from Lattice QCD, Phys. Rev. Lett., to appear, (arXiv:1212.1474 [hep-lat]).

145. IBM Bluegene Team, Design of the IBM Blue Gene/Q Compute chip IBM Journal of Research and Development, Vol 57:1, 2013.

146. P. A. Boyle, N.H. Christ, C. Kim Co-design of the IBM Blue Gene/Q Level 1 prefetch engine with QCD, IBM Journal of Research and De- velopment, Vol 57:13, 2013.

147. Norman H. Christ, Calculating the two-pion decay and mixing of neutral K mesons, PoS LATTICE2012:008, 2012, (arXiv:1301.4239 [hep- lat]).