Publication Data and the Future of Research in Physics
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Not Even Wrong, Ten Years Later: a View from Mathematics on Prospects for Fundamental Physics Without Experiment
Not Even Wrong, ten years later: a view from mathematics on prospects for fundamental physics without experiment Peter Woit Columbia University Rutgers Physics Colloquium, February 3, 2016 Peter Woit (Columbia University) Not Even Wrong, ten years later: a view from mathematicsFebruary on prospects 3, 2016 for fundamental 1 / 32 physics without experiment Outline Some advertisements and some provocations: Advertisements: an old book, an ongoing blog, and a forthcoming book. Review what has happened to the idea of string theory unification. Raise the issue of what happens absent new experimental guidance. Can the example of mathematics help? Evidence for deep connections between math and physics: quantum mechanics and representation theory Speculation about relevance of ideas from representation theory to better understanding the Standard Model. Peter Woit (Columbia University) Not Even Wrong, ten years later: a view from mathematicsFebruary on prospects 3, 2016 for fundamental 2 / 32 physics without experiment An advertisment for three projects Not Even Wrong: the book Written largely in 2001-2 2003: under review at Cambridge University Press Fall 2004: accepted for publication by British publisher (with help from Roger Penrose) Mid-2006: published around same time as Lee Smolin's The Trouble with Physics. The \String Wars" kick off. Peter Woit (Columbia University) Not Even Wrong, ten years later: a view from mathematicsFebruary on prospects 3, 2016 for fundamental 3 / 32 physics without experiment An advertisment for three projects Not Even Wrong: the blog Started March 2004 In 2006, one of the battlefields of the string wars. Currently 1512 postings 41,335 comments Around 20,000 page-views/day (mostly robots...) http://www.math.columbia.edu/~woit/blog Peter Woit (Columbia University) Not Even Wrong, ten years later: a view from mathematicsFebruary on prospects 3, 2016 for fundamental 4 / 32 physics without experiment An advertisment for three projects An advertisement for the competition Finally in 2015, a book with the counter-argument I was expecting. -
Magnetic Vortices in Gauge/Gravity Duality
Magnetic Vortices in Gauge/Gravity Duality Dissertation by Migael Strydom Magnetic Vortices in Gauge/Gravity Duality Dissertation an der Fakult¨atf¨urPhysik der Ludwig{Maximilians{Universit¨at M¨unchen vorgelegt von Migael Strydom aus Pretoria M¨unchen, den 20. Mai 2014 Dissertation submitted to the faculty of physics of the Ludwig{Maximilians{Universit¨atM¨unchen by Migael Strydom supervised by Prof. Dr. Johanna Karen Erdmenger Max-Planck-Institut f¨urPhysik, M¨unchen 1st Referee: Prof. Dr. Johanna Karen Erdmenger 2nd Referee: Prof. Dr. Dieter L¨ust Date of submission: 20 May 2014 Date of oral examination: 18 July 2014 Zusammenfassung Wir untersuchen stark gekoppelte Ph¨anomene unter Verwendung der Dualit¨at zwischen Eich- und Gravitationstheorien. Dabei liegt ein besonderer Fokus einer- seits auf Vortex L¨osungen, die von einem magnetischem Feld verursacht werden, und andererseits auf zeitabh¨angigen Problemen in holographischen Modellen. Das wichtigste Ergebnis ist die Entdeckung eines unerwarteten Effektes in einem ein- fachen holografischen Modell: ein starkes nicht abelsches magnetisches Feld verur- sacht die Entstehung eines Grundzustandes in der Form eines dreieckigen Gitters von Vortices. Die Dualit¨at zwischen Eich- und Gravitationstheorien ist ein m¨achtiges Werk- zeug welches bereits verwendet wurde um stark gekoppelte Systeme vom Quark- Gluonen Plasma in Teilchenbeschleunigern bis hin zu Festk¨orpertheorien zu be- schreiben. Die wichtigste Idee ist dabei die der Dualit¨at: Eine stark gekoppelte Quantenfeldtheorie kann untersucht werden, indem man die Eigenschaften eines aus den Einsteinschen Feldgleichungen folgenden Gravitations-Hintergrundes be- stimmt. Eine der Gravitationstheorien, die in dieser Arbeit behandelt werden, ist ei- ne Einstein{Yang{Mills Theorie in einem AdS{Schwarzschild Hintergrund mit SU(2)-Eichsymmetrie. -
Localization of Gauge Theories on the Three-Sphere
Localization of Gauge Theories on the Three-Sphere Thesis by Itamar Yaakov In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy California Institute of Technology Pasadena, California 2012 (Defended May 14, 2012) ii c 2012 Itamar Yaakov All Rights Reserved iii Acknowledgements I would like to thank my research adviser, Professor Anton Kapustin, for his continuing support. His mentorship, foresight, intuition and collaboration were the keys to my having a successful graduate career. The work described here was done in collaboration with Brian Willett and much of the credit for successful completion of this work is duly his. I would also like to express my deep appreciation to the California Institute of Technology, and especially the professors and staff of the physics department for a thoroughly enjoyable and interesting five years of study. Special thanks to Frank Porter, Donna Driscoll, Virginio Sannibale, and Carol Silberstein. I am grateful to Mark Wise, John Schwarz, Hirosi Ooguri, and Frank Porter for serving on my candidacy and defense committees. I benefited from discussions along the way with Ofer Aharony, John Schwarz, Sergei Gukov, Hirosi Ooguri, David Kutasov, Zohar Komargodski, Daniel Jafferis, and Jaume Gomis. I would like to thank the organizers and lecturers of the PITP 2010 summer school at the Institute for Advanced study for an impeccably produced learning experience. My thanks also to Gregory Moore and Nathan Seiberg for taking the time to discuss my research while at the school. I would like to thank UCLA, especially Yu-tin Huang, and the Perimeter Institute and Jaume Gomis for allowing me to present my work there. -
Particle Theory: a View from a Neighboring Field
Particle theory: a view from a neighboring field Peter Woit Mathematics Department Columbia University Rochester Physics and Astronomy Colloquium March 7, 2018 Peter Woit (Mathematics Department ColumbiaParticle University) theory: a view from a neighboring field March 7, 2018 1 / 31 Two cultures Physics 1979: B.A./M.A. in physics, Harvard 1984: Ph.D. in particle theory, Princeton 1984-87: Postdoc ITP Stony Brook Mathematics 1988: adjunct Calculus instructor, Tufts math department 1988-9: Postdoc, Mathematical Sciences Research Institute, Berkeley 1989-93: Asst. professor, Columbia math department (non-tenure track) 1993-current: Permanent non-tenured position at Columbia, now Senior Lecturer Neighboring fields, but very different language and culture. Remniscent of moving between US and France as a child (lived in Paris age 8-13). Peter Woit (Mathematics Department ColumbiaParticle University) theory: a view from a neighboring field March 7, 2018 2 / 31 The SM: a victim of its own success The Standard Model, some history 1973: SU(3) x SU(2) X U(1) gauge theory of strong, weak and electromagnetic forces 1983: Discovery of W/Z bosons 1995: Discovery of the top quark 1998: Discovery of non-zero neutrino masses (an extension of the original SM) 2012: Discovery of the Higgs at the LHC Current situation All high energy accelerator experiments consistent with the SM. Ongoing experiments at the LHC at 13 TeV center of mass energy. Peter Woit (Mathematics Department ColumbiaParticle University) theory: a view from a neighboring field March 7, 2018 -
The State of High-Energy Particle Physics: a View from a Neighboring field
The state of high-energy particle physics: a view from a neighboring field Peter Woit Mathematics Department Columbia University US Naval Observatory Colloquium December 6, 2018 Peter Woit (Mathematics Department ColumbiaThe state University) of high-energy particle physics: a view from aDecember neighboring 6, field2018 1 / 27 Two cultures Physics 1979: B.A./M.A. in physics, Harvard 1984: Ph.D. in particle theory, Princeton 1984-87: Postdoc ITP Stony Brook Mathematics 1988: adjunct Calculus instructor, Tufts math department 1988-9: Postdoc, Mathematical Sciences Research Institute, Berkeley 1989-93: Asst. professor, Columbia math department (non-tenure track) 1993-current: Permanent non-tenured position at Columbia, now Senior Lecturer Neighboring fields, but very different language and culture. Remniscent of moving between US and France as a child (lived in Paris age 8-13). Peter Woit (Mathematics Department ColumbiaThe state University) of high-energy particle physics: a view from aDecember neighboring 6, field2018 2 / 27 The SM: a victim of its own success The Standard Model, some history 1973: SU(3) x SU(2) X U(1) gauge theory of strong, weak and electromagnetic forces 1983: Discovery of W/Z bosons 1995: Discovery of the top quark 1998: Discovery of non-zero neutrino masses (an extension of the original SM) 2012: Discovery of the Higgs at the LHC Current situation All high energy accelerator experiments consistent with the SM. Ongoing experiments at the LHC at 13 TeV center of mass energy. Peter Woit (Mathematics Department ColumbiaThe -
Annual Rpt 2004 For
I N S T I T U T E for A D V A N C E D S T U D Y ________________________ R E P O R T F O R T H E A C A D E M I C Y E A R 2 0 0 3 – 2 0 0 4 EINSTEIN DRIVE PRINCETON · NEW JERSEY · 08540-0631 609-734-8000 609-924-8399 (Fax) www.ias.edu Extract from the letter addressed by the Institute’s Founders, Louis Bamberger and Mrs. Felix Fuld, to the Board of Trustees, dated June 4, 1930. Newark, New Jersey. It is fundamental in our purpose, and our express desire, that in the appointments to the staff and faculty, as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. TABLE OF CONTENTS 4·BACKGROUND AND PURPOSE 7·FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 10 · ADMINISTRATION 12 · PRESENT AND PAST DIRECTORS AND FACULTY 15 · REPORT OF THE CHAIRMAN 20 · REPORT OF THE DIRECTOR 24 · OFFICE OF THE DIRECTOR - RECORD OF EVENTS 31 · ACKNOWLEDGMENTS 43 · REPORT OF THE SCHOOL OF HISTORICAL STUDIES 61 · REPORT OF THE SCHOOL OF MATHEMATICS 81 · REPORT OF THE SCHOOL OF NATURAL SCIENCES 107 · REPORT OF THE SCHOOL OF SOCIAL SCIENCE 119 · REPORT OF THE SPECIAL PROGRAMS 139 · REPORT OF THE INSTITUTE LIBRARIES 143 · INDEPENDENT AUDITORS’ REPORT 3 INSTITUTE FOR ADVANCED STUDY BACKGROUND AND PURPOSE The Institute for Advanced Study was founded in 1930 with a major gift from New Jer- sey businessman and philanthropist Louis Bamberger and his sister, Mrs. -
Studies in Field Theories: Mhv Vertices, Twistor Space, Recursion Relations and Chiral Rings
STUDIES IN FIELD THEORIES: MHV VERTICES, TWISTOR SPACE, RECURSION RELATIONS AND CHIRAL RINGS Peter Svr·cek Advisor: Edward Witten A DISSERTATION SUBMITTED TO THE FACULTY OF PRINCETON UNIVERSITY IN CANDIDACY FOR THE DEGREE OF DOCTOR OF PHILOSOPHY RECOMMENDED FOR ACCEPTANCE BY THE DEPARTMENT OF PHYSICS April 2005 Copyright °c 2005 by Peter Svr·cek All rights reserved. ii Abstract In this thesis we study di®erent aspects of four dimensional ¯eld theories. In the ¯rst chapter we give introduction and overview of the thesis. In the second chapter we review the connection between perturbative Yang-Mills and twistor string the- ory. Inspired by this, we propose a new way of constructing Yang-Mills scattering amplitudes from Feynman graphs in which the vertices are o®-shell continuations of the tree level MHV amplitudes. The MHV diagrams lead to simple formulas for tree-level amplitudes. We then give a heuristic derivation of the diagrams from twistor string theory. In the third chapter, we explore the twistor structure of scattering amplitudes in theories for which a twistor string theory analogous to the one for N = 4 gauge theory has not yet been proposed. We study the di®erential equations of one-loop amplitudes of gluons in gauge theories with reduced supersymmetry and of tree level and one-loop amplitudes of gravitons in general relativity and supergravity. We ¯nd that the scattering amplitudes localize in twistor space on algebraic curves that are surprisingly similar to the N = 4 Yang-Mills case. In the next chapter we propose tree-level recursion relations for scattering am- plitudes of gravitons. -
Why Trust a Theory? Some Further Remarks (Part 1)
Why trust a theory? Some further remarks (part 1). Joseph Polchinski1 Kavli Institute for Theoretical Physics University of California Santa Barbara, CA 93106-4030 USA Abstract I expand on some ideas from my recent review \String theory to the rescue." I discuss my use of Bayesian reasoning. I argue that it can be useful but that it is very far from the central point of the discussion. I then review my own personal history with the multiverse. Finally I respond to some criticisms of string theory and the multiverse. Prepared for the meeting \Why Trust a Theory? Reconsidering Scientific Method- ology in Light of Modern Physics," Munich, Dec. 7-9, 2015. [email protected] Contents 1 Introduction 1 2 It's not about the Bayes. It's about the physics. 2 3 The multiverse and me 4 4 Some critics 9 4.1 George Ellis and Joseph Silk . .9 4.2 Peter Woit, and X . 10 1 Introduction The meeting \Why Trust a Theory? Reconsidering Scientific Methodology in Light of Mod- ern Physics," which took place at the Ludwig Maximilian University Munich, Dec. 7-9 2015, was for me a great opportunity to think in a broad way about where we stand in the search for a theory of fundamental physics. My thoughts are now posted at [1]. In this followup discussion I have two goals. The first is to expand on some of the ideas for the first talk, and also to emphasize some aspects of the discussion that I believe need more attention. As the only scientific representative of the multiverse at that meeting, a major goal for me was to explain why I believe with a fairly high degree of probability that this is the nature of our universe. -
Arxiv:Hep-Th/9809022V2 8 Sep 1998
NSF-ITP-98-086 hep-th/9809022 UV/IR Relations in AdS Dynamics Amanda W. Peet1 and Joseph Polchinski2 Institute for Theoretical Physics University of California Santa Barbara, CA 93106-4030 Abstract We point out that two distinct distance–energy relations have been discussed in the AdS/CFT correspondence. In conformal backgrounds they differ only in normalization, but in nonconformal backgrounds they differ in functional form. We discuss the relation to probe pro- cesses, the holographic principle, and black hole entropies. arXiv:hep-th/9809022v2 8 Sep 1998 [email protected] [email protected] 1 An important feature of the recently discovered AdS/CFT duality is a correspondence between long distances in the AdS space and high energies in the CFT [1, 2]. In fact, at least two quite distinct distance–energy rela- tions have been discussed. While this point may have been noted implicitly elsewhere, we believe that it is instructive to discuss it in some detail. In sec- tion 1 we consider various conformally invariant spaces (D3, M5, and M2). In section 2 we consider conformally noninvariant Dp-brane spaces, where new issues arise. 1 Conformal theories 1.1 The D3-brane For illustration let us consider the near-horizon geometry of N D3-branes, the AdS5 × S5 space with string metric 2 1/2 2 ′ U 2 gYMN 2 2 2 ds = α 1/2 dxk + 2 (dU + U dΩ5) (1.1) "gYMN U # Φ 2 and a constant dilaton e = gs = gYM. We use the conventions of refs. [1, 3] but omit all numerical constants. -
Positive Geometry of the S-Matrix
Positive Geometry of the S-Matrix Yuntao Bai A Dissertation Presented to the Faculty of Princeton University in Candidacy for the Degree of Doctor of Philosophy Recommended for Acceptance by the Department of Physics Adviser: Nima Arkani-Hamed September 2018 © Copyright by Yuntao Bai, 2018. All rights reserved. Abstract The search for a theory of the S-Matrix has revealed unprecedented structures under- lying amplitudes. In this text, we present a new framework for understanding a class of amplitudes that includes Yang-Mills, Non-linear Sigma Model, the bi-adjoint cubic scalar, planar N = 4 super Yang-Mills, and more. We introduce positive geometries, which are generalizations of convex polytopes to geometries with higher order (i.e. non-linear) boundaries. Our construction provides a unique differential form called the canonical form of the positive geometry, whose pole structure is completely con- trolled by the geometric boundaries. The central claim of this text is that positive geometries play a fundamental role in our class of scattering amplitudes, whereby the corresponding canonical form determines a physical quantity. Our primary examples are (1) the bi-adjoint cubic scalar for which the positive geometry is the famous as- sociahedron polytope whose canonical form gives the color-ordered tree amplitude, and (2) planar N = 4 super Yang-Mills for which the positive geometry is the ampli- tuhedron whose canonical form gives the scattering integrand. One recurrent theme in our text is that physical properties of amplitudes like local poles and factorization are direct consequences of the boundary structure. We are therefore led to the point of view that locality and unitarity are emergent properties of the positive geometry. -
Theoretical Studies of Cosmic Acceleration
University of Pennsylvania ScholarlyCommons Publicly Accessible Penn Dissertations 2016 Theoretical Studies of Cosmic Acceleration James Stokes University of Pennsylvania, [email protected] Follow this and additional works at: https://repository.upenn.edu/edissertations Part of the Physics Commons Recommended Citation Stokes, James, "Theoretical Studies of Cosmic Acceleration" (2016). Publicly Accessible Penn Dissertations. 2040. https://repository.upenn.edu/edissertations/2040 This paper is posted at ScholarlyCommons. https://repository.upenn.edu/edissertations/2040 For more information, please contact [email protected]. Theoretical Studies of Cosmic Acceleration Abstract In this thesis we describe theoretical approaches to the problem of cosmic acceleration in the early and late universe. The first approach we consider relies upon the modification of Einstein gravity by the inclusion of mass terms as well as couplings to higher-derivative scalar fields possessing generalized internal shift symmetries - the Galileons. The second half of the thesis is concerned with the quantum- mechanical consistency of a theory of the early universe known as the pseudo-conformal mechanism which, in contrast to inflation, eliesr not on the effects of gravity but on conformal field theory (CFT) dynamics. It is possible to couple Dirac-Born-Infeld (DBI) scalars possessing generalized Galilean internal shift symmetries (Galileons) to nonlinear massive gravity in four dimensions, in such a manner that the interactions maintain the Galilean symmetry. Such a construction is of interest because it is not possible to couple such fields ot massless General Relativity in the same way. Using tetrad techniques we show that this massive gravity-Galileon theory possesses a primary constraint necessary to ensure propagation with the correct number of degrees of freedom. -
Why the Quantum
Deep Beauty: Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World A Symposium and Book Publication Program Sponsored by Princeton University’s Department of Philosophy Supported by a Grant from the John Templeton Foundation Celebrating the Life and Legacy of John von Neumann and the 75th Anniversary of the Publication of His Classic Text: The Mathematical Foundations of Quantum Mechanics* Symposium: October 3 – October 4, 2007 Princeton, New Jersey _______________________ Revised 09-11-07, PContractor ________________ * von Neumann, Johann. Mathematische grundlagen der quantenmechanik. Berlin: J. Springer, 1932. Deep Beauty:Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World John von Neumann,1903-1957 Courtesy of the Archives of the Institute for Advanced Study (Princeton)* The following photos are copyrighted by the Institute for Advanced Study, and they were photographed by Alan Richards unless otherwise specified. For copyright information, visit http://admin.ias.edu/hslib/archives.htm. *[ED. NOTE: ELLIPSIS WILL WRITE FOR PERMISSION IF PHOTO IS USED; SEE http://www.physics.umd.edu/robot/neumann.html] Page 2 of 14 Deep Beauty:Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World Project Overview and Background DEEP BEAUTY: Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World celebrates the life and legacy of the scientific and mathematical polymath John Von Neumann 50 years after his death and 75 years following the publication of his renowned, path- breaking classic text, The Mathematical Foundations of Quantum Mechanics.* The program, supported by a grant from the John Templeton Foundation, consists of (1) a two-day symposium sponsored by the Department of Philosophy at Princeton University to be held in Princeton October 3–4, 2007 and (2) a subsequent research volume to be published by a major academic press.