TULLIO REGGE An Eclectic Genius

From to Computer Play

Editors

Leonardo Castellani University of Eastern Piedmont,

Anna Ceresole National Institute for Nuclear , Turin, Italy

Riccardo D'Auria Polytechnic , Italy

Pietro Fre University of Turin, Italy

World Scientific

NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI . HONG KONG • TAIPEI • CHENNAI • TOKYO xxi

Contents

Preface vii

Part I. Black Hole Stability under Pertubations 1

1. Introduction to Regge and Wheeler "Stability of a Schwarzschild Singularity" 3 Kip S. Thome

2. Stability of a Schwarzschild Singularity 13 Tullio Regge and John A. Wheeler Phys. Rev. 108, 1063-1069 (1957)

Part II. Regge Poles 21

3. Regge Poles and Their Unexpected Offsprings 23 Gabriele Veneziano

4. The Long Road from Regge Poles to the LHC 29 Vittorio Del Duca and Lorenzo Magnea

5. Introduction to Complex Orbital Momenta 46 Tullio Regge Nuovo Cim. 14, 951-976 (1959)

6. Bound States, Shadow States and Mandelstam Representation 72 Tullio Regge Nuovo Cim. 18, 947-956 (1960)

7. S-matrix and Feynman Amplitudes 82 Giampiero Passarino xxii

8. Old Problems and New Hopes in S-Matrix Theory 88 Tullio Regge

Publ. RIMS, Kyoto Univ. 12, Suppl. 367-375 (1977)

Part III. and Discrete Gravity 97

9. The Ponzano-Regge Model 99

Annalisa Marzuoli

10. Semiclassical Limit of Racah Coefficients 113

Giorgio Ponzano and Tullio Regge Spectroscopic and Group Theoretical Methods in Physics (North Holland Pub. Company 1968)

11. Without Coordinates 171 Tullio Regge

Nuovo Cim. 19, 558-571 (1961)

12. Simplicial Gravity with Coordinates 185

Alessandro D'Adda

13. Tullio Regge's Legacy: Regge Calculus and Discrete (Quantum) Gravity 196 John W. Barrett, Daniele Oriti and Ruth M. Williams

14. Discrete Structures in Gravity 212 Tullio Regge and Ruth M. Williams J. Math. Phys. 41, 3964-3984 (2000)

Part IV. Hamiltonian Formulation of General Relativity 233

15. Role of Surface Integrals in the Hamiltonian Formulation of General Relativity 235 Tullio Regge and Claudio Teitelboim Ann. Phys. 88, 286-318 (1974)

16. Regge-Teitelboim Analysis of the Symmetries of Electromagnetic and

Gravitational Fields on Asymptotically Null Spacelike Surfaces 268 Claudio Bunster, Andres Gomberoff and Alfredo Perez xxiii

Part V. Quantum Vortices 305

17. Quantum Vortices, Quantum Knots: Intertwining Physics, Topology and Algebra 307 Mario Rasetti

18. Unified Approach to Strings and Vortices with Soliton Solutions 315 Fernando Lund and Tullio Regge Phys. Rev. D14, 1524-1535 (1976)

Part VI. The Group Manifold Approach to (Super-) Gravity Theories 327

19. Geometric Supergravity 329 Riccardo D'Auria

20. Integrating Supergravity 364 Leonardo Castellani

21. Gauge Theory of Gravity and Supergravity on a Group Manifold 374 Yuval Ne 'eman and Tullio Regge Riv. Nuovo Cim. IN5, 1-43 (1978)

22. Gravity and Supergravity as Gauge Theories on a Group Manifold 417 Yuval Ne 'eman and Tullio Regge Phys. Lett. 74B, 54-56 (1978)

Part VII. 2+1 Quantum Gravity 421

23. 2+1 Dimensional Gravity 423

Jeanette E. Nelson

24. Homotopy Groups and (2+l)-Dimensional Quantum de Sitter Gravity 432 Jeanette E. Nelson, Tullio Regge and F. Zertuche Nucl. Phys. B339, 516-532 (1990)

25. (2+1) Quantum Gravity 449 Jeanette E. Nelson and Tullio Regge Phys. Lett. B272, 213-216 (1991) xxiv

Part VIII. Methods of Algebraic Geometry 453

26. Introduction to the paper "Duality Group for Calabi-Yau Two-Moduli Space" 455 Anna Ceresole and Riccardo D Auria

27. Duality Group for Calabi-Yau Two-Moduli Space 478 Anna Ceresole, Riccardo D Auria and Tullio Regge Nucl. Phys. B414, 517-537 (1994)

Part IX. Popularization of Science 499

28. Regge Multimedial Science Popularizer 501 Piero Bianucci

29. Regge's Cartoon Physics 516 Federico Tibone

30. Tullio Regge: His Imprint on Science Popularization in Italy 523 Giulio Peruzzi

Part X. Reminiscences 531

31. Some Reminiscences about Tullio Regge 533 Sergio Ferrara

32. Tullio Regge from a Son's Perspective 535 Daniele Regge

Part XI. Full Bibliography of Scientific Works 539