Juraj Šebesta*
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Roman Jackiw: a Beacon in a Golden Period of Theoretical Physics
Roman Jackiw: A Beacon in a Golden Period of Theoretical Physics Luc Vinet Centre de Recherches Math´ematiques, Universit´ede Montr´eal, Montr´eal, QC, Canada [email protected] April 29, 2020 Abstract This text offers reminiscences of my personal interactions with Roman Jackiw as a way of looking back at the very fertile period in theoretical physics in the last quarter of the 20th century. To Roman: a bouquet of recollections as an expression of friendship. 1 Introduction I owe much to Roman Jackiw: my postdoctoral fellowship at MIT under his supervision has shaped my scientific life and becoming friend with him and So Young Pi has been a privilege. Looking back at the last decades of the past century gives a sense without undue nostalgia, I think, that those were wonderful years for Theoretical Physics, years that have witnessed the preeminence of gauge field theories, deep interactions with modern geometry and topology, the overwhelming revival of string theory and remarkably fruitful interactions between particle and condensed matter physics as well as cosmology. Roman was a main actor in these developments and to be at his side and benefit from his guidance and insights at that time was most fortunate. Owing to his leadership and immense scholarship, also because he is a great mentor, Roman has always been surrounded by many and has thus arXiv:2004.13191v1 [physics.hist-ph] 27 Apr 2020 generated a splendid network of friends and colleagues. Sometimes, with my own students, I reminisce about how it was in those days; I believe it is useful to keep a memory of the way some important ideas shaped up and were relayed. -
Reflections on a Revolution John Iliopoulos, Reply by Sheldon Lee Glashow
INFERENCE / Vol. 5, No. 3 Reflections on a Revolution John Iliopoulos, reply by Sheldon Lee Glashow In response to “The Yang–Mills Model” (Vol. 5, No. 2). Internal Symmetries As Glashow points out, particle physicists distinguish To the editors: between space-time and internal symmetry transforma- tions. The first change the point of space and time, leaving Gauge theories brought about a profound revolution in the the fundamental equations unchanged. The second do not way physicists think about the fundamental forces. It is this affect the space-time point but transform the dynamic vari- revolution that is the subject of Sheldon Glashow’s essay. ables among themselves. This fundamentally new concept Gauge theories, such as the Yang–Mills model, use two was introduced by Werner Heisenberg in 1932, the year mathematical concepts: group theory, which is the natural the neutron was discovered, but the real history is more language to describe the physical property of symmetry, complicated.3 Heisenberg’s 1932 papers are an incredible and differential geometry, which connects in a subtle way mixture of the old and the new. For many people at that symmetry and dynamics. time, the neutron was a new bound state of a proton and Although there exist several books, and many more an electron, like a small hydrogen atom. Heisenberg does articles, relating historical aspects of these theories,1 a not reject this idea. Although for his work he considers real history has not yet been written. It may be too early. the neutron as a spin one-half Dirac fermion, something When a future historian undertakes this task, Glashow’s incompatible with a proton–electron bound state, he notes precise, documented, and authoritative essay will prove that “under suitable circumstances [the neutron] can invaluable. -
2017 Breakthrough Prizes in Mathematics and Fundamental
COMMUNICATION 2017 Breakthrough Prizes Awarded Jean Bourgain Joseph Polchinski Andrew Strominger Cumrun Vafa Breakthrough Prize in Mathematics be obtained from the results of Weil and Deligne on the Jean Bourgain of the Institute for Advanced Study, Riemann hypothesis over finite fields), as well as the de- Princeton, New Jersey, has been selected as the recipient velopment (with Gamburd and Sarnak) of the affine sieve of the 2017 Breakthrough Prize in Mathematics by the that has proven to be a powerful tool for analyzing thin Breakthrough Prize Foundation. Bourgain was honored for groups. Most recently, with Demeter and Guth, Bourgain “major contributions across an incredibly diverse range of has established several important decoupling theorems areas, including harmonic analysis, functional analysis, er- in Fourier analysis that have had applications to partial godic theory, partial differential equations, mathematical differential equations, combinatorial incidence geometry, physics, combinatorics, and theoretical computer science.” and analytic number theory, in particular solving the Main The prize carries a cash award of US$3 million. Conjecture of Vinogradov, as well as obtaining new bounds The Notices asked Terence Tao of the University of Cal- on the Riemann zeta function.” ifornia Los Angeles to comment on the work of Bourgain (Tao was on the Breakthrough Prize committee and was Biographical Sketch: Jean Bourgain also one of the nominators of Bourgain). Tao responded: Jean Bourgain was born in 1954 in Oostende, Belgium. He “Jean Bourgain is an unparalleled problem-solver in anal- received his PhD (1977) and his habilitation (1979) from ysis who has revolutionized many areas of the subject by the Free University of Brussels. -
What Comes Beyond the Standard Models Bled, July 11–19, 2016
i i “proc16” — 2016/12/12 — 10:17 — page I — #1 i i BLEJSKE DELAVNICE IZ FIZIKE LETNIK 17, STˇ . 2 BLED WORKSHOPS IN PHYSICS VOL. 17, NO. 2 ISSN 1580-4992 Proceedings to the 19th Workshop What Comes Beyond the Standard Models Bled, July 11–19, 2016 Edited by Norma Susana MankoˇcBorˇstnik Holger Bech Nielsen Dragan Lukman DMFA – ZALOZNIˇ STVOˇ LJUBLJANA, DECEMBER 2016 i i i i i i “proc16” — 2016/12/12 — 10:17 — page II — #2 i i The 19th Workshop What Comes Beyond the Standard Models, 11.– 19. July 2016, Bled was organized by Society of Mathematicians, Physicists and Astronomers of Slovenia and sponsored by Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana Society of Mathematicians, Physicists and Astronomers of Slovenia Beyond Semiconductor (MatjaˇzBreskvar) Scientific Committee John Ellis, CERN Roman Jackiw, MIT Masao Ninomiya, Okayama Institute for Quantum Physics Organizing Committee Norma Susana MankoˇcBorˇstnik Holger Bech Nielsen Maxim Yu. Khlopov The Members of the Organizing Committee of the International Workshop “What Comes Beyond the Standard Models”, Bled, Slovenia, state that the articles published in the Proceedings to the 19th Workshop “What Comes Beyond the Standard Models”, Bled, Slovenia are refereed at the Workshop in intense in-depth discussions. i i i i i i “proc16” — 2016/12/12 — 10:17 — page III — #3 i i Workshops organized at Bled . What Comes Beyond the Standard Models (June 29–July 9, 1998), Vol. 0 (1999) No. 1 (July 22–31, 1999) (July 17–31, 2000) (July 16–28, 2001), Vol. 2 (2001) No. 2 (July 14–25, 2002), Vol. -
Theoretical and Mathematical Physics New Books and Highlights in 2020/2021
Now available on WorldSciNet Theoretical and Mathematical Physics New Books and Highlights in 2020/2021 Textbook Textbook Textbook Mathematical Methods of Theoretical Physics Roman Jackiw by Karl Svozil (Technische Universität Wien, Austria) 80th Birthday Festschrift edited by Antti Niemi (University of Stockholm, Sweden), This book contains very detailed proofs and demonstrations of common Terry Tomboulis (University of California, Los Angeles, USA) & mathematical methods used in theoretical physics. It combines and unifies Kok Khoo Phua (Nanyang Technological University, Singapore) many expositions of the subject and thus is accessible to a very wide range of students, such as those interested in experimental and applied physics. The ○ Dedicated to Roman Jackiw, a theoretical physicist known for content is divided into three parts: linear vector spaces, functional analysis his fundamental contributions in high energy physics, gravita- and differential equations. tion, condensed matter and the physics of fluids. ○ With contributions from prominent scientists including two No- 332pp Mar 2020 bel laureates and one Field Medalist. 978-981-120-840-9 US$78 £70 ○ Also included are personal recollections and humorous anec- dotes from Jackiw’s friends and colleagues. Lectures on Quantum Field Theory 336pp Aug 2020 (2nd Edition) 978-981-121-066-2 US$118 £105 by Ashok Das (University of Rochester, USA) “Comprehensive yet at the beginner’s level, lucid and informal, this new An Introduction to Inverse Problems in Physics edition of Lectures on Quantum Field Theory contains new material by M Razavy (University of Alberta, Canada) including two new chapters and two additional appendices. The book This book is a compilation of different methods of formulating and solving will be of interest to students of mathematics and theoretical physics, inverse problems in physics from classical mechanics to the potentials and teachers and researchers.” nucleus-nucleus scattering. -
Schrodinger Centenary
At the Conference at London's Imperial College in April marking the centenary of the birth of Erwin Schrodinger — Schrodinger's daughter Ruth Braunizer with Austrian theorist Walter Thirring, who celebrated his 60th birthday this year (see page 29). Schrodinger centenary The centenary of the birth of poly math Erwin Schrodinger was marked by a suitably multidiscipli- nary conference in April at Lon don's Imperial College, reflecting the impact of the man's work on physics, chemistry, molecular biol ogy and the history and philosophy of science. Born in Vienna, Schrodinger had positions at Zurich, Berlin, Graz and Vienna but stayed longest in Dublin. E. T. S. Walton, from Dub lin, and the senior of the many Nobel laureates at the meeting (he shared the 1951 award with John Cockcroft) delightedly maintained that the grandfather of particle physics, J. J. Thomson, would have scorned modern theoretical ideas. Undeterred, Abdus Salam sum marized today's viewpoint while Steven Weinberg and Alexander Polyakov sketched the possibilities of unified 'string' theories. C. N. Yang drew attention to a 1922 Schrodinger paper (predating the famous ones by several years) containing an embryo form of the path dependent phase factors so useful in modern gauge theory. In a grand finale, Linus Pauling illustrated the impact of the cele brated equation on molecular biol ogy. Although Schrodinger's fame rests on his equation, he was more an ideas man, claimed Pauling, who like Max Perutz, was never theless sceptical of the role of At the Schrodinger centenary meeting, Alexander Polyakov (left) covered ideas in string theory while cosmology benefited from Stephen Hawking. -
Conceptual Foundations of Quantum Field Theory Quantum Field Theory Is a Powerful Language for the Description of The
Conceptual foundations of quantum ®eld theory Quantum ®eld theory is a powerful language for the description of the sub- atomic constituents of the physical world and the laws and principles that govern them. This book contains up-to-date in-depth analyses, by a group of eminent physicists and philosophers of science, of our present understanding of its conceptual foundations, of the reasons why this understanding has to be revised so that the theory can go further, and of possible directions in which revisions may be promising and productive. These analyses will be of interest to students of physics who want to know about the foundational problems of their subject. The book will also be of interest to professional philosophers, historians and sociologists of science. It contains much material for metaphysical and methodological re¯ection on the subject; it will also repay historical and cultural analyses of the theories discussed in the book, and sociological analyses of the way in which various factors contribute to the way the foundations are revised. The authors also re¯ect on the tension between physicists on the one hand and philosophers and historians of science on the other, when revision of the foundations becomes an urgent item on the agenda. This work will be of value to graduate students and research workers in theoretical physics, and in the history, philosophy and sociology of science, who have an interest in the conceptual foundations of quantum ®eld theory. For Bob and Sam Conceptual foundations of quantum ®eld theory EDITOR TIAN YU CAO Boston University PUBLISHED BY THE PRESS SYNDICATE OF THE UNIVERSITY OF CAMBRIDGE The Pitt Building, Trumpington Street, Cambridge CB2 1RP, United Kingdom CAMBRIDGE UNIVERSITY PRESS The Edinburgh Building, Cambridge CB2 2RU, UK http://www.cup.cam.ac.uk 40 West 20th Street, New York, NY 10011-4211, USA http://www.cup.org 10 Stamford Road, Oakleigh, Melbourne 3166, Australia # Cambridge University Press 1999 This book is in copyright. -
Freeman Dyson
Freeman Dyson (center) with colleagues PREDRAG CVITANOVIĆ Freeman Dyson remembered by people who knew him: “an unusual visionary” Colleagues reflect on the life and work of the renowned physicist, who died last week. by Edward Witten, Dwight Neuenschwander, Harold Feiveson, Arthur Jaffe, and Elliott Lieb Mar 2, 2020 Freeman Dyson, who died on Feb 28 at the age of 96, was an intellectual giant and well-regarded as a physicist, mathematician and public intellectual—and also as a mentor, grandfather and friend. Technology Review asked a number of his colleagues to reflect on his life and work. These are some of the responses; more will be added in coming days. Edward Witten, Institute for Advanced Study WIKIMEDIA, OJAN Freeman Dyson made fundamental contributions to an incredibly wide variety of fields in physics and mathematics. Among physicists, Dyson is known most of all as one of the pioneers of quantum electrodynamics. In the 1920s, physicists had learned to describe ordinary matter via the strange and often counterintuitive theory known as quantum mechanics. Moreover, it was known that light comes in the form of individual particles, or “quanta,” known as photons. But attempts in those days to understand the quantum mechanics of light interacting with matter led to intractable difficulties. By the late 1940s, when research in fundamental physics resumed after World War II, advances in technology made it possible to do experiments testing the quantum- mechanical interactions of photons and electrons—creating a compelling need to develop a workable theory. Dyson, along with Hans Bethe, Richard Feynman, Julian Schwinger, and Shinichiro Tomanaga, was one of the pioneers who accomplished this. -
Quantum Mathematical Physics Springer-Verlag Berlin Heidelberg Gmbh
Quantum Mathematical Physics Springer-Verlag Berlin Heidelberg GmbH ONLINE LIBRARY Physics and Astronomy http://www.springer.de/phys/ Walter Thirring Quantum Mathematical Physics Atoms, Molecules and Large Systems Translated by Evans M. Harrell II Second Edition Corrected and Revised Second Printing with Bibliographic Additions With 63 Figures , Springer Walter Thirring Institute for Theoretical Physics University ofVienna Boltzmanngasse 5 1090 Vienna, Austria Title ofthe original German edition: Lehrbuch der Mathematischen Physik Band 3: Quantenmechanik von Atomen und Molekiilen Band 4: Quantenmechanik groBer Systeme © Springer-Verlag Wien 1979 Library of Congress Cataloging-in-Publication Data applied for. Die Deutsche Bibliothek- CIP-Einheitsaufnahme: Thirring, Walter: Quantum mathematical physics : atoms, molecules and large systems 1 Walter Thirring. Transl. by Evans M. Harrell.- 2.ed.- (Physics and astronomy online library) ISBN 978-3-642-07711-1 ISBN 978-3-662-05008-8 (eBook) DOI 10.1007/978-3-662-05008-8 Second Edition 2002 Corrected and Revised Second Printing, with Bibliographic Additions, 2003 ISBN 978-3-642-07711-1 This work is subject to copyright. AII rights are reserved, whether the whole or part of the material is concemed, specifically the rights oftranslation, reprinting, reu se of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is perrnitted only under the provisions ofthe German Copyright Law of September 9, 1965, in its current version, and perrnission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. http://www.springer.de © Springer-Verlag Berlin Heidelberg 2002 Originally published by Springer-Verlag Berlin Heidelberg New York in 2002 Softcover reprint of the hardcover 2nd edition 2002 Volume 3 (now Part !) © Springer-Verlag New York, !ne. -
Swarthmore College Bulletin (June 1997)
SSWWAARRTTHHMMOORREE College Bulletin June 1997 The Future of Dying Tom Preston ’55 on physician- assisted suicide Eugene M. Lang ’38, shown here surrounded by some of the current Lang Opportunity Scholars, has pledged $30 million to Swarthmore, the largest gift in College history and among the most generous ever given to a liberal arts college. Lang came to the campus in April E E L to meet prospective Lang G N E J - G Scholars for the Class of N E D 2001. For more on Eugene Lang’s “Fund for the Future,” please turn to page 6. SWARTHMORE COLLEGE BULLETIN • JUNE 1997 10 The New Face of Honors The Honors Program had fallen on hard times when the faculty voted sweeping reforms in 1994. Now enrollment is up, and students are enjoying new flexibility in preparing for external exams. Take a look at what’s happened to the College’s signa- ture program through the eyes of faculty members and students. Editor: Jeffrey Lott D Associate Editor: Nancy Lehman ’87 16 Elegant Euclid News Editor: Kate Downing Former math hater Nick Jackiw ’88 invented one of the most Class Notes Editor: Carol Brévart F widely used software programs in mathematics education, Desktop Publishing: Audree Penner R Geometer’s Sketchpad. With it two 16-year-olds created a novel T Designer: Bob Wood solution to a problem first posed by Euclid 2,300 years ago. Editor Emerita: Maralyn Orbison Gillespie ’49 A P6 P4 P2 By Eric Rich Associate Vice President for External Affairs: Barbara Haddad Ryan ’59 20 The Future of Dying Cover: Physician and Supreme Modern medicine has changed the nature of dying, argues Court plaintiff Thomas Preston ’55. -
Hans Bethe, My Teacher
Hans Bethe, My Teacher The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation Jackiw, Roman. “Hans Bethe, My Teacher.” Physics in Perspective (PIP) 11.1 (2009): 98-103. As Published http://dx.doi.org/10.1007/s00016-008-0412-4 Publisher Birkhäuser Basel Version Original manuscript Citable link http://hdl.handle.net/1721.1/51720 Terms of Use Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Hans Bethe, My Teachera Roman Jackiwb I sketch my experiences with Hans Bethe (1906-2005) as a teacher at Cornell University, beginning with my doctoral studies in 1961 and continuing with my work with him on an intermediate textbook on quantum mechanics. Key Words: Hans A. Bethe; Cornell University; physics teaching; nuclear physics; quantum mechanics. In recent times we have seen many appreciations and testimonials about Hans Bethe’s outstanding achievements: extraordinary breadth of physics research, significant involvement with social, political, and policy issues, important activity in the industrial and technological arenas. I am sure Hans would be pleased with these encomiums. But perhaps he would wonder why there is little mention of his qualities as pedagogue. After all, Professor Bethe was fundamentally a teacher, imparting his knowledge not only to physics colleagues, not only to people in society, government, and industry, but most importantly also to students, many of whom became distinguished physicists. Even though he received the Oersted Medal of the American Association of Physics Teachers in 1983 for his teaching, I think that this aspect of his a Based on my talk at the Bethe Memorial, Aspen Center for Physics, Aspen, CO, in August 2006. -
Quantum [Un]Speakables Springer-Verlag Berlin Heidelberg Gmbh
Quantum [Un]speakables Springer-Verlag Berlin Heidelberg GmbH ONLINE LIBRARY Physics and Astronomy http://www.springer.de/phys/ R.A. Bertlmann A. Zeilinger Quantum [Un]speakables From Bell to Quantum Information With 141 Figures, 4 in Color t Springer Professor Dr. Reinhold A. Bertlmann University of Vienna, Institute for Theoretical Physics Boltzmanngasse 5, 1090 Vienna, Austria e-mail: [email protected] Professor Dr. Anton Zeilinger University of Vienna, Institute for Experimental Physics Boltzmanngasse 5, 1090 Vienna, Austria e-mail: [email protected] Library of Congress Cataloging-in-Publication Data Quantum [un]speakables : from Bell to quantum information I [edited by] R.A. Bertimann, A. Zeilinger. p. cm. Includes biblographical references and index. ISBN 3540427562 (acid-free pa per) 1. Bell's theorem--Congresses. 3. Bell, J.S.--Congress. I. Bell, J.S. II. Bertlmann, Reinhold A. III. Zeilinger, Anton. QC174.17.B45 Q36 2002 530.12--dc21 2002021641 ISBN 978-3-642-07664-0 ISBN 978-3-662-05032-3 (eBook) DOI 10.1007/978-3-662-05032-2 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag Berlin Heidelberg GmbH. Violations are liable for prosecution under the German Copyright Law.