Reality in the Shadows (Or) What the Heck’S the Higgs?
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Particles-Versus-Strings.Pdf
Particles vs. strings http://insti.physics.sunysb.edu/~siegel/vs.html In light of the huge amount of propaganda and confusion regarding string theory, it might be useful to consider the relative merits of the descriptions of the fundamental constituents of matter as particles or strings. (More-skeptical reviews can be found in my physics parodies.A more technical analysis can be found at "Warren Siegel's research".) Predictability The main problem in high energy theoretical physics today is predictions, especially for quantum gravity and confinement. An important part of predictability is calculability. There are various levels of calculations possible: 1. Existence: proofs of theorems, answers to yes/no questions 2. Qualitative: "hand-waving" results, answers to multiple choice questions 3. Order of magnitude: dimensional analysis arguments, 10? (but beware hidden numbers, like powers of 4π) 4. Constants: generally low-energy results, like ground-state energies 5. Functions: complete results, like scattering probabilities in terms of energy and angle Any but the last level eventually leads to rejection of the theory, although previous levels are acceptable at early stages, as long as progress is encouraging. It is easy to write down the most general theory consistent with special (and for gravity, general) relativity, quantum mechanics, and field theory, but it is too general: The spectrum of particles must be specified, and more coupling constants and varieties of interaction become available as energy increases. The solutions to this problem go by various names -- "unification", "renormalizability", "finiteness", "universality", etc. -- but they are all just different ways to realize the same goal of predictability. -
STRING THEORY in the TWENTIETH CENTURY John H
STRING THEORY IN THE TWENTIETH CENTURY John H. Schwarz Strings 2016 { August 1, 2016 ABSTRACT String theory has been described as 21st century sci- ence, which was discovered in the 20th century. Most of you are too young to have experienced what happened. Therefore, I think it makes sense to summarize some of the highlights in this opening lecture. Since I only have 25 minutes, this cannot be a com- prehensive history. Important omitted topics include 2d CFT, string field theory, topological string theory, string phenomenology, and contributions to pure mathematics. Even so, I probably have too many slides. 1 1960 { 68: The analytic S matrix The goal was to construct the S matrix that describes hadronic scattering amplitudes by assuming • Unitarity and analyticity of the S matrix • Analyticity in angular momentum and Regge Pole The- ory • The bootstrap conjecture, which developed into Dual- ity (e.g., between s-channel and t-channel resonances) 2 The dual resonance model In 1968 Veneziano found an explicit realization of duality and Regge behavior in the narrow resonance approxima- tion: Γ(−α(s))Γ(−α(t)) A(s; t) = g2 ; Γ(−α(s) − α(t)) 0 α(s) = α(0) + α s: The motivation was phenomenological. Incredibly, this turned out to be a tree amplitude in a string theory! 3 Soon thereafter Virasoro proposed, as an alternative, g2 Γ(−α(s))Γ(−α(t))Γ(−α(u)) T = 2 2 2 ; −α(t)+α(u) −α(s)+α(u) −α(s)+α(t) Γ( 2 )Γ( 2 )Γ( 2 ) which has similar virtues. -
The Birth of String Theory
THE BIRTH OF STRING THEORY String theory is currently the best candidate for a unified theory of all forces and all forms of matter in nature. As such, it has become a focal point for physical and philosophical dis- cussions. This unique book explores the history of the theory’s early stages of development, as told by its main protagonists. The book journeys from the first version of the theory (the so-called Dual Resonance Model) in the late 1960s, as an attempt to describe the physics of strong interactions outside the framework of quantum field theory, to its reinterpretation around the mid-1970s as a quantum theory of gravity unified with the other forces, and its successive developments up to the superstring revolution in 1984. Providing important background information to current debates on the theory, this book is essential reading for students and researchers in physics, as well as for historians and philosophers of science. andrea cappelli is a Director of Research at the Istituto Nazionale di Fisica Nucleare, Florence. His research in theoretical physics deals with exact solutions of quantum field theory in low dimensions and their application to condensed matter and statistical physics. elena castellani is an Associate Professor at the Department of Philosophy, Uni- versity of Florence. Her research work has focussed on such issues as symmetry, physical objects, reductionism and emergence, structuralism and realism. filippo colomo is a Researcher at the Istituto Nazionale di Fisica Nucleare, Florence. His research interests lie in integrable models in statistical mechanics and quantum field theory. paolo di vecchia is a Professor of Theoretical Physics at Nordita, Stockholm, and at the Niels Bohr Institute, Copenhagen. -
The Birth of String Theory
The Birth of String Theory Edited by Andrea Cappelli INFN, Florence Elena Castellani Department of Philosophy, University of Florence Filippo Colomo INFN, Florence Paolo Di Vecchia The Niels Bohr Institute, Copenhagen and Nordita, Stockholm Contents Contributors page vii Preface xi Contents of Editors' Chapters xiv Abbreviations and acronyms xviii Photographs of contributors xxi Part I Overview 1 1 Introduction and synopsis 3 2 Rise and fall of the hadronic string Gabriele Veneziano 19 3 Gravity, unification, and the superstring John H. Schwarz 41 4 Early string theory as a challenging case study for philo- sophers Elena Castellani 71 EARLY STRING THEORY 91 Part II The prehistory: the analytic S-matrix 93 5 Introduction to Part II 95 6 Particle theory in the Sixties: from current algebra to the Veneziano amplitude Marco Ademollo 115 7 The path to the Veneziano model Hector R. Rubinstein 134 iii iv Contents 8 Two-component duality and strings Peter G.O. Freund 141 9 Note on the prehistory of string theory Murray Gell-Mann 148 Part III The Dual Resonance Model 151 10 Introduction to Part III 153 11 From the S-matrix to string theory Paolo Di Vecchia 178 12 Reminiscence on the birth of string theory Joel A. Shapiro 204 13 Personal recollections Daniele Amati 219 14 Early string theory at Fermilab and Rutgers Louis Clavelli 221 15 Dual amplitudes in higher dimensions: a personal view Claud Lovelace 227 16 Personal recollections on dual models Renato Musto 232 17 Remembering the `supergroup' collaboration Francesco Nicodemi 239 18 The `3-Reggeon vertex' Stefano Sciuto 246 Part IV The string 251 19 Introduction to Part IV 253 20 From dual models to relativistic strings Peter Goddard 270 21 The first string theory: personal recollections Leonard Susskind 301 22 The string picture of the Veneziano model Holger B. -
A Brief History of String Theory
THE FRONTIERS COLLECTION Dean Rickles A BRIEF HISTORY OF STRING THEORY From Dual Models to M-Theory 123 THE FRONTIERS COLLECTION Series editors Avshalom C. Elitzur Unit of Interdisciplinary Studies, Bar-Ilan University, 52900, Gières, France e-mail: [email protected] Laura Mersini-Houghton Department of Physics, University of North Carolina, Chapel Hill, NC 27599-3255 USA e-mail: [email protected] Maximilian Schlosshauer Department of Physics, University of Portland 5000 North Willamette Boulevard Portland, OR 97203, USA e-mail: [email protected] Mark P. Silverman Department of Physics, Trinity College, Hartford, CT 06106, USA e-mail: [email protected] Jack A. Tuszynski Department of Physics, University of Alberta, Edmonton, AB T6G 1Z2, Canada e-mail: [email protected] Rüdiger Vaas Center for Philosophy and Foundations of Science, University of Giessen, 35394, Giessen, Germany e-mail: [email protected] H. Dieter Zeh Gaiberger Straße 38, 69151, Waldhilsbach, Germany e-mail: [email protected] For further volumes: http://www.springer.com/series/5342 THE FRONTIERS COLLECTION Series editors A. C. Elitzur L. Mersini-Houghton M. Schlosshauer M. P. Silverman J. A. Tuszynski R. Vaas H. D. Zeh The books in this collection are devoted to challenging and open problems at the forefront of modern science, including related philosophical debates. In contrast to typical research monographs, however, they strive to present their topics in a manner accessible also to scientifically literate non-specialists wishing to gain insight into the deeper implications and fascinating questions involved. Taken as a whole, the series reflects the need for a fundamental and interdisciplinary approach to modern science. -
This Electronic Thesis Or Dissertation Has Been Downloaded from the King’S Research Portal At
This electronic thesis or dissertation has been downloaded from the King’s Research Portal at https://kclpure.kcl.ac.uk/portal/ Dynamical supersymmetry enhancement of black hole horizons Kayani, Usman Tabassam Awarding institution: King's College London The copyright of this thesis rests with the author and no quotation from it or information derived from it may be published without proper acknowledgement. END USER LICENCE AGREEMENT Unless another licence is stated on the immediately following page this work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International licence. https://creativecommons.org/licenses/by-nc-nd/4.0/ You are free to copy, distribute and transmit the work Under the following conditions: Attribution: You must attribute the work in the manner specified by the author (but not in any way that suggests that they endorse you or your use of the work). Non Commercial: You may not use this work for commercial purposes. No Derivative Works - You may not alter, transform, or build upon this work. Any of these conditions can be waived if you receive permission from the author. Your fair dealings and other rights are in no way affected by the above. Take down policy If you believe that this document breaches copyright please contact [email protected] providing details, and we will remove access to the work immediately and investigate your claim. Download date: 24. Apr. 2021 Dynamical supersymmetry enhancement of black hole horizons Usman Kayani A thesis presented for the degree of Doctor of Philosophy Supervised by: Dr. Jan Gutowski Department of Mathematics King's College London, UK November 2018 Abstract This thesis is devoted to the study of dynamical symmetry enhancement of black hole horizons in string theory. -
More Space for Unification Kaluza-Klein Theory and Extra Dimensions
THESIS APPROVED BY g- lq -2-l 2^ø,-* 7. Ðrdl"- Date GintarasK. Duda, Ph.D. Physics Department Chair ll^*L^?.¿¿rut #nutnu,.P.Iürubel, Ph.D. Dave L. Sidebottom, Ph.D. KevinT. FitzGerald, S.J., Ph.D., Ph.D. Interim Dean, Graduate School More Space for Unification Kaluza-Klein Theory and Extra Dimensions By Joseph Nohea Kistner Submitted to the faculty of the Graduate School of Creighton University in Partial Fulfillment of the Requirements for the degree of Master of Science in the Department of Physics Omaha, NE August 13, 2021 Abstract The purpose of this this thesis is to investigate Kaluza-Klein theory, the history of extra dimensions, and provide a tool to those who want to learn about how they are being used today. In doing so, a re-derivation of the bulk of the theory was carried out because much of the original nomenclature and conventions are not common anymore, creating a barrier to those wanting to learn about it. The re-derivation includes Theodore Kaluza’s 1921 paper where he lays out the impetus for expanding the foundations of General Relativity to include an extra dimension of space, and one of Oskar Klein’s 1926 papers that answers the problem of the cylinder condition in Kaluza’s theory. Additional sections are provided to introduce tensor mathematics and Riemann Normal Coordinates, the coordinate system used throughout Kaluza’s derivation. The final chapter describes how extra dimensions are used in theories today and how experiments are being used to search for evidence of them. iii This is dedicated to my loving parents who have always encouraged me to pursue my happiness. -
Dean Rickles a BRIEF HISTORY of STRING THEORY
THE FRONTIERS COLLECTION Dean Rickles A BRIEF HISTORY OF STRING THEORY From Dual Models to M-Theory 123 THE FRONTIERS COLLECTION Series editors Avshalom C. Elitzur Unit of Interdisciplinary Studies, Bar-Ilan University, 52900, Gières, France e-mail: [email protected] Laura Mersini-Houghton Department of Physics, University of North Carolina, Chapel Hill, NC 27599-3255 USA e-mail: [email protected] Maximilian Schlosshauer Department of Physics, University of Portland 5000 North Willamette Boulevard Portland, OR 97203, USA e-mail: [email protected] Mark P. Silverman Department of Physics, Trinity College, Hartford, CT 06106, USA e-mail: [email protected] Jack A. Tuszynski Department of Physics, University of Alberta, Edmonton, AB T6G 1Z2, Canada e-mail: [email protected] Rüdiger Vaas Center for Philosophy and Foundations of Science, University of Giessen, 35394, Giessen, Germany e-mail: [email protected] H. Dieter Zeh Gaiberger Straße 38, 69151, Waldhilsbach, Germany e-mail: [email protected] For further volumes: http://www.springer.com/series/5342 THE FRONTIERS COLLECTION Series editors A. C. Elitzur L. Mersini-Houghton M. Schlosshauer M. P. Silverman J. A. Tuszynski R. Vaas H. D. Zeh The books in this collection are devoted to challenging and open problems at the forefront of modern science, including related philosophical debates. In contrast to typical research monographs, however, they strive to present their topics in a manner accessible also to scientifically literate non-specialists wishing to gain insight into the deeper implications and fascinating questions involved. Taken as a whole, the series reflects the need for a fundamental and interdisciplinary approach to modern science. -
2019 Kayani Usman 0815673
This electronic thesis or dissertation has been downloaded from the King’s Research Portal at https://kclpure.kcl.ac.uk/portal/ Dynamical supersymmetry enhancement of black hole horizons Kayani, Usman Tabassam Awarding institution: King's College London The copyright of this thesis rests with the author and no quotation from it or information derived from it may be published without proper acknowledgement. END USER LICENCE AGREEMENT Unless another licence is stated on the immediately following page this work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International licence. https://creativecommons.org/licenses/by-nc-nd/4.0/ You are free to copy, distribute and transmit the work Under the following conditions: Attribution: You must attribute the work in the manner specified by the author (but not in any way that suggests that they endorse you or your use of the work). Non Commercial: You may not use this work for commercial purposes. No Derivative Works - You may not alter, transform, or build upon this work. Any of these conditions can be waived if you receive permission from the author. Your fair dealings and other rights are in no way affected by the above. Take down policy If you believe that this document breaches copyright please contact [email protected] providing details, and we will remove access to the work immediately and investigate your claim. Download date: 28. Sep. 2021 Dynamical supersymmetry enhancement of black hole horizons Usman Kayani A thesis presented for the degree of Doctor of Philosophy Supervised by: Dr. Jan Gutowski Department of Mathematics King's College London, UK November 2018 Abstract This thesis is devoted to the study of dynamical symmetry enhancement of black hole horizons in string theory. -
JOHN H Schwarz
JOHN H. SCHWARZ (1941 – ) INTERVIEWED BY SARA LIPPINCOTT July 21 and 26, 2000 ARCHIVES CALIFORNIA INSTITUTE OF TECHNOLOGY Pasadena, California Subject area Physics, string theory Abstract An interview in two sessions, July 2000, with John H. Schwarz, Harold Brown Professor of Theoretical Physics in the Division of Physics, Mathematics, and Astronomy. Dr. Schwarz majored in mathematics at Harvard (BA, 1962) and then went to UC Berkeley for graduate work in theoretical physics. He offers recollections of his advisor, Geoffrey Chew; working on S-matrix theory; sharing an office with another future string theorist, David J. Gross. After receiving his PhD in 1966, he became an instructor at Princeton, where in 1969 he began work on string theory, prompted by 1968 paper by Gabriele Veneziano. He comments on early years of string theory, his collaboration with André Neveu and Joël Scherk, Murray Gell-Mann’s interest in the work, being denied tenure at Princeton and invited to come to Caltech as a research associate. General lack of interest in string theory in 1970s. Scherk and Schwarz continue working on it and note that the graviton shows up in the theory, suggesting a way to reconcile quantum theory and general relativity; they publish in 1974 and 1975, but papers are largely ignored. In August 1979, he begins collaboration with Michael Green at CERN and later at Caltech and the Aspen Center for Physics. By now there are several string theories, but all are plagued with anomalies; he http://resolver.caltech.edu/CaltechOH:OH_Schwarz_J describes their breakthrough elimination of anomalies in 1984 at Aspen and his announcement of it at the Aspen physics cabaret. -
Scientific Methodology: a View from Early String Theory
Scientific Methodology: A View from Early String Theory∗ Elena Castellaniy January 2018 1 Introduction This contribution is devoted to addressing the question as to whether the methodology followed in building/assessing string theory can be considered scientific { in the same sense, say, that the methodology followed in build- ing/assessing the Standard Model of particle physics is scientific { by fo- cussing on the "founding" period of the theory. More precisely, its aim is to argue for a positive answer to the above question in the light of a historical analysis of the early developments of the string theoretical framework. The paper's main claim is a simple one: there is no real change of scien- tific status in the way of proceeding and reasoning in fundamental physical research. Looking at the developments of quantum field theory and string theory since their very beginning, one sees the very same strategies at work both in theory building and theory assessment. Indeed, as the history of string theory clearly shows (see Cappelli et al., 2012), the methodology char- acterising the theoretical process leading to the string idea and its successive developments is not significantly different from the one characterising many fundamental developments in theoretical physics which have been crowned with successful empirical confirmation afterwards (sometimes after a consid- erable number of years, as exemplified by the story of the Higgs particle). ∗Forthcoming in: R. Dawid, R. Dardashti, and K. Th´ebault. Epistemology of funda- mental physics: Why trust a theory?, Cambridge: Cambridge University Press. yDepartment of Humanities and Philosophy, University of Florence, via Bolognese 52, 50139, Firenze, Italy. -
The Power of Geometry 10
ffirs.qxd 4/28/04 11:00 AM Page i T HE G REAT BEYOND Higher Dimensions, Parallel Universes, and the Extraordinary Search for a Theory of Everything PAUL HALPERN John Wiley & Sons, Inc. ffirs.qxd 4/28/04 11:00 AM Page ii This book is printed on acid-free paper.ࠗ∞ Copyright © 2004 by Paul Halpern. All rights reserved Published by John Wiley & Sons, Inc., Hoboken, New Jersey Published simultaneously in Canada Cartoon p. 8, courtesy of the Library of Congress. Figures pp. 19, 22, 24, 37, 48, 52, 75, 127, 253, 265, 273 concept by Paul Halpern. Rendered by Jerry Antner, RichArt Graphics; p. 56, concept by Paul Halpern, based on an illustration by Edwin Abbott, rendered by Jerry Antner, RichArt Graphics. Photos pp. 27, 93, 134, 168, 187, 194, 242 © Paul Halpern; pp. 29, 42, 143 courtesy of the Archives, California Institute of Technology; p. 154, by John Hagemeyer, cour- tesy of the Archives, California Institute of Technology; p. 106, courtesy of the University of Göttingen; pp. 117, 122, 197, courtesy of the Niels Bohr Archive; p. 163, courtesy of Syracuse University; p. 233, courtesy of Claud Lovelace and Rutgers University; pp. 237, 254 courtesy of the American Institute of Physics, Emilio Ségre Visual Archives, Physics Today Collection No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or oth- erwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through pay- ment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600, or on the web at www.copyright.com.