BRYCE SELIGMAN DEWITT January 8, 1923–September 23, 2004
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
The Pursuit of Quantum Gravity
The Pursuit of Quantum Gravity Cécile DeWitt-Morette The Pursuit of Quantum Gravity Memoirs of Bryce DeWitt from 1946 to 2004 123 Cécile DeWitt-Morette Department of Physics Center for Relativity University of Texas at Austin Austin Texas USA [email protected] ISBN 978-3-642-14269-7 e-ISBN 978-3-642-14270-3 DOI 10.1007/978-3-642-14270-3 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2011921724 c Springer-Verlag Berlin Heidelberg 2011 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is con- cerned, 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 publica- tion 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. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protec- tive laws and regulations and therefore free for general use. Cover design:WMXDesignGmbH,Heidelberg Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) Dedicated to our daughters, Nicolette, Jan, Christiane, Abigail Preface This book is written for the curious reader. I hope it will also be a good read for the professional physicist. -
Heterotic String Compactification with a View Towards Cosmology
Heterotic String Compactification with a View Towards Cosmology by Jørgen Olsen Lye Thesis for the degree Master of Science (Master i fysikk) Department of Physics Faculty of Mathematics and Natural Sciences University of Oslo May 2014 Abstract The goal is to look at what constraints there are for the internal manifold in phe- nomenologically viable Heterotic string compactification. Basic string theory, cosmology, and string compactification is sketched. I go through the require- ments imposed on the internal manifold in Heterotic string compactification when assuming vanishing 3-form flux, no warping, and maximally symmetric 4-dimensional spacetime with unbroken N = 1 supersymmetry. I review the current state of affairs in Heterotic moduli stabilisation and discuss merging cosmology and particle physics in this setup. In particular I ask what additional requirements this leads to for the internal manifold. I conclude that realistic manifolds on which to compactify in this setup are severely constrained. An extensive mathematics appendix is provided in an attempt to make the thesis more self-contained. Acknowledgements I would like to start by thanking my supervier Øyvind Grøn for condoning my hubris and for giving me free rein to delve into string theory as I saw fit. It has lead to a period of intense study and immense pleasure. Next up is my brother Kjetil, who has always been a good friend and who has been constantly looking out for me. It is a source of comfort knowing that I can always turn to him for help. Mentioning friends in such an acknowledgement is nearly mandatory. At least they try to give me that impression. -
Vincent Bouchard – Associate Professor
Vincent Bouchard | Associate Professor Rhodes Scholar (Québec and Magdalen, 2001) Department of Mathematical and Statistical Sciences, University of Alberta 632 CAB, Edmonton, AB, Canada – T6G 2G1 T +1 (780) 492 0099 • B [email protected] Í www.ualberta.ca/ vbouchar Education University of Oxford, Magdalen College Oxford, UK D.Phil. Mathematics 2001–2005 Université de Montréal Montréal, QC B.Sc. Physics, Excellence, Palmarès de la doyenne, average 4.3/4.3 1998–2001 Cégep Saint-Jean-sur-Richelieu Saint-Jean-sur-Richelieu, QC D.E.C. Natural Sciences, Excellence 1996–1998 D.Phil. thesis Title: Toric Geometry and String Theory [arXiv:hep-th/0609123] Supervisor: Rouse Ball Professor Philip Candelas Positions Associate Professor Edmonton, AB Department of Mathematical and Statistical Sciences, University of Alberta 2013–Present Assistant Professor Edmonton, AB Department of Mathematical and Statistical Sciences, University of Alberta 2009–2013 Postdoctoral Fellow Cambridge, MA Physics Department, Harvard University 2007–2009 NSERC Postdoctoral Fellow Waterloo, ON Perimeter Institute for Theoretical Physics 2006–2007 Postdoctoral Fellow Berkeley, CA Mathematical Sciences Research Institute 2006 “New Topological Structures in Physics” program, January–May Postdoctoral Fellow Phildelphia, PA Department of Mathematics, University of Pennsylvania 2005 Joint math/physics visiting position, September–December Research Grants NSERC Discovery Grant: $225,000 2013–2018 NSERC Discovery Grant: $130,000 2010–2013 University of Alberta Research -
Download Report 2010-12
RESEARCH REPORt 2010—2012 MAX-PLANCK-INSTITUT FÜR WISSENSCHAFTSGESCHICHTE Max Planck Institute for the History of Science Cover: Aurora borealis paintings by William Crowder, National Geographic (1947). The International Geophysical Year (1957–8) transformed research on the aurora, one of nature’s most elusive and intensely beautiful phenomena. Aurorae became the center of interest for the big science of powerful rockets, complex satellites and large group efforts to understand the magnetic and charged particle environment of the earth. The auroral visoplot displayed here provided guidance for recording observations in a standardized form, translating the sublime aesthetics of pictorial depictions of aurorae into the mechanical aesthetics of numbers and symbols. Most of the portait photographs were taken by Skúli Sigurdsson RESEARCH REPORT 2010—2012 MAX-PLANCK-INSTITUT FÜR WISSENSCHAFTSGESCHICHTE Max Planck Institute for the History of Science Introduction The Max Planck Institute for the History of Science (MPIWG) is made up of three Departments, each administered by a Director, and several Independent Research Groups, each led for five years by an outstanding junior scholar. Since its foundation in 1994 the MPIWG has investigated fundamental questions of the history of knowl- edge from the Neolithic to the present. The focus has been on the history of the natu- ral sciences, but recent projects have also integrated the history of technology and the history of the human sciences into a more panoramic view of the history of knowl- edge. Of central interest is the emergence of basic categories of scientific thinking and practice as well as their transformation over time: examples include experiment, ob- servation, normalcy, space, evidence, biodiversity or force. -
Calabi-Yau Geometry and Higher Genus Mirror Symmetry
Calabi-Yau Geometry and Higher Genus Mirror Symmetry A dissertation presented by Si Li to The Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the subject of Mathematics Harvard University Cambridge, Massachusetts May 2011 © 2011 { Si Li All rights reserved. iii Dissertation Advisor: Professor Shing-Tung Yau Si Li Calabi-Yau Geometry and Higher Genus Mirror Symmetry Abstract We study closed string mirror symmetry on compact Calabi-Yau manifolds at higher genus. String theory predicts the existence of two sets of geometric invariants, from the A-model and the B-model on Calabi-Yau manifolds, each indexed by a non-negative inte- ger called genus. The A-model has been mathematically established at all genera by the Gromov-Witten theory, but little is known in mathematics for B-model beyond genus zero. We develop a mathematical theory of higher genus B-model from perturbative quantiza- tion techniques of gauge theory. The relevant gauge theory is the Kodaira-Spencer gauge theory, which is originally discovered by Bershadsky-Cecotti-Ooguri-Vafa as the closed string field theory of B-twisted topological string on Calabi-Yau three-folds. We generalize this to Calabi-Yau manifolds of arbitrary dimensions including also gravitational descen- dants, which we call BCOV theory. We give the geometric description of the perturbative quantization of BCOV theory in terms of deformation-obstruction theory. The vanishing of the relevant obstruction classes will enable us to construct the higher genus B-model. We carry out this construction on the elliptic curve and establish the corresponding higher genus B-model. -
Personal Recollections of the Early Days Before and After the Birth of Supergravity
Personal recollections of the early days before and after the birth of Supergravity Peter van Nieuwenhuizen I March 29, 1976: Dan Freedman, Sergio Ferrara and I submit first paper on Supergravity to Physical Review D. I April 28: Stanley Deser and Bruno Zumino: elegant reformulation that stresses the role of torsion. I June 2, 2016 at 1:30pm: 5500 papers with Supergravity in the title have appeared, and 15000 dealing with supergravity. I Supergravity has I led to the AdS/CFT miracle, and I made breakthroughs in longstanding problems in mathematics. I Final role of supergravity? (is it a solution in search of a problem?) I 336 papers in supergravity with 126 collaborators I Now: many directions I can only observe in awe from the sidelines I will therefore tell you my early recollections and some anecdotes. I will end with a new research program that I am enthusiastic about. In 1972 I was a Joliot Curie fellow at Orsay (now the Ecole Normale) in Paris. Another postdoc (Andrew Rothery from England) showed me a little book on GR by Lawden.1 I was hooked. That year Deser gave lectures at Orsay on GR, and I went with him to Brandeis. In 1973, 't Hooft and Veltman applied their new covariant quantization methods and dimensional regularization to pure gravity, using the 't Hooft lemma (Gilkey) for 1-loop divergences and the background field formalism of Bryce DeWitt. They found that at one loop, pure gravity was finite: 1 2 2 ∆L ≈ αRµν + βR = 0 on-shell. But what about matter couplings? 1\An Introduction to Tensor Calculus and Relativity". -
Adobe Acrobat PDF Document
BIOGRAPHICAL SKETCH of HUGH EVERETT, III. Eugene Shikhovtsev ul. Dzerjinskogo 11-16, Kostroma, 156005, Russia [email protected] ©2003 Eugene B. Shikhovtsev and Kenneth W. Ford. All rights reserved. Sources used for this biographical sketch include papers of Hugh Everett, III stored in the Niels Bohr Library of the American Institute of Physics; Graduate Alumni Files in Seeley G. Mudd Manuscript Library, Princeton University; personal correspondence of the author; and information found on the Internet. The author is deeply indebted to Kenneth Ford for great assistance in polishing (often rewriting!) the English and for valuable editorial remarks and additions. If you want to get an interesting perspective do not think of Hugh as a traditional 20th century physicist but more of a Renaissance man with interests and skills in many different areas. He was smart and lots of things interested him and he brought the same general conceptual methodology to solve them. The subject matter was not so important as the solution ideas. Donald Reisler [1] Someone once noted that Hugh Everett should have been declared a “national resource,” and given all the time and resources he needed to develop new theories. Joseph George Caldwell [1a] This material may be freely used for personal or educational purposes provided acknowledgement is given to Eugene B. Shikhovtsev, author ([email protected]), and Kenneth W. Ford, editor ([email protected]). To request permission for other uses, contact the author or editor. CONTENTS 1 Family and Childhood Einstein letter (1943) Catholic University of America in Washington (1950-1953). Chemical engineering. Princeton University (1953-1956). -
Conceptual Issues in Quantum Cosmology
Conceptual Issues in Quantum Cosmology Claus Kiefer Institut fur¨ Theoretische Physik Universitat¨ zu Koln¨ ½ Contents Why quantum cosmology? Boundary conditions Decoherence in quantum cosmology Direction of time Why Quantum Cosmology? Gell-Mann and Hartle 1990: Quantum mechanics is best and most fundamentally understood in the framework of quantum cosmology. I Quantum theory is universally valid: Application to the Universe as a whole as the only closed quantum system in the strict sense I Need quantum theory of gravity, since gravity dominates on large scales Georges Lemaˆıtre 1931: If the world has begun with a single quantum, the notions of space and time would altogether fail to have any meaning at the beginning . If this suggestion is correct, the beginning of the world happened a little before the beginning of space and time. Main approaches to quantum gravity No question about quantum gravity is more difficult than the question, “What is the question?” (John Wheeler 1984) I Quantum general relativity I Covariant approaches (perturbation theory, path integrals including spin foams, asymptotic safety, . ) I Canonical approaches (geometrodynamics, connection dynamics, loop dynamics, . ) I String theory I Fundamental discrete approaches (quantum topology, causal sets, group field theory, . ); have partially grown out of the other approaches See e.g. C. Kiefer, Quantum Gravity, 3rd edition, Oxford 2012. Quantum geometrodynamics (a) John Archibald Wheeler (b) Bryce DeWitt Application of Schrodinger’s¨ procedure to general relativity leads -
MEMORIA DEL CENTRO DE CIENCIAS DE BENASQUE Barcelona, 31 De Diciembre De 2005
MEMORIA DEL CENTRO DE CIENCIAS DE BENASQUE Barcelona, 31 de Diciembre de 2005 I – INTRODUCCIÓN En unos pocos años España se ha convertido en uno de los focos mundiales de atracción de actividades veraniegas, principalmente de carácter lúdico y turístico. Hasta este momento se han usado poco las características de nuestro país para convertirlo en un foco de actividades de tipo científico. Hace unas pocas décadas la representación española en el concierto científico internacional era, prácticamente, inexistente. Aún en 1977 sólo el 0.64% de los artículos científicos que aparecían en la base de datos del Science Citation Index (SCI) tenían algún autor español. En el período 1977-1993 los artículos científicos del SCI en los que al menos un autor era español ha aumentado a un ritmo superior al 9% anual y en 1993 un 2.0% de todos los artículos contenidos en el SCI tienen, al menos, un autor español. Se ha avanzado mucho en pocos años, pero este esfuerzo debe continuar. En España era habitual, en 1994, la celebración de conferencias científicas sobre distintas temáticas y con características diversas. Todas estas reuniones, más o menos multitudinarias, se caracterizan por su corta duración (alrededor de una semana) y gran número diario de conferencias, lo cual hace que quede poco tiempo para poder trabajar o discutir con otros científicos. Sin embargo ni en nuestro país ni en el resto de Europa existían, por aquel entonces, verdaderos centros donde, en un ambiente agradable, los científicos se pudieran dedicar a trabajar tranquilamente y a discutir con sus colegas. Un centro de este tipo lleva muchos años funcionando, con gran éxito, en la localidad norteamericana de Aspen, en Colorado. -
Albert Einstein
L B. A Department of Physics (MC 0435) Tel:(+1)2155100693 Virginia Te Fax:(+1)5402317511 850 Campus Drive email: [email protected] Blasburg, VA, 24061, USA. URL: hp://www.phys.vt.edu/ lara/ Employment - Assistant Professor of Physics and Affiliate Professor of Mathematics Virginia Tech (Blacksburg, VA, USA), - Postdoctoral Researer in eoretical Physics Harvard University (Boston, MA, USA), - Postdoctoral Researer in eoretical Physics University of Pennsylvania (Philadelphia, PA, USA), - Visiting Researer in eoretical/Mathematical Physics Institute for Advanced Study (Princeton, NJ, USA), - Stipendiary Lecturer in Applied Mathematics Pembroke College, University of Oxford (Oxford, UK) Stipendiary Lecturer in Applied Mathematics Somerville College, University of Oxford (Oxford, UK) V P/F Kavli Institute for eoretical Physics, UC Santa Barbara (). Isaac Newton Institute for Mathemat- ical Sciences, University of Cambridge (). Simons Center for Geometry and Physics (). Simons Center for Geometry and Physics (). Resear Interests: Physics – String eory (including M-theory, F-theory, and Heterotic string theory), String Phenomenol- ogy, High Energy Particle Physics, Gauge eory, Supersymmetry Mathematics – Algebraic Geometry and Topology (including computational algebraic geometry), Ge- ometric Invariants, Moduli Spaces, Special Holonomy/Special Structure Manifolds. Education - University of Oxford (Oxford, UK), PhD in Mathematical Physics. esis Advisors: Philip Candelas (Mathematics) and Andre Lukas (eoretical Physics) - Utah State University (Logan, UT, USA), Master of Science, Physics. Summa Cum Laude. - Utah State University (Logan, UT, USA), Bachelor of Science, Physics. Summa Cum Laude. (4.0 GPA. Ranked 1st in graduating class). Bachelor of Science, Mathematics. Summa Cum Laude. ! S F S Royal Society University Research Fellowship (UK) ( years and £600K of funding). (Declined to accept position at Virginia Tech). -
Research on Quantum Physics Important Principles and Photoelectric Effect
ISSN(Online): 2319-8753 ISSN (Print): 2347-6710 International Journal of Innovative Research in Science, Engineering and Technology (A High Impact Factor, Monthly, Peer Reviewed Journal) Visit: www.ijirset.com Vol. 6, Issue 12, December 2017 Research on Quantum Physics Important Principles and Photoelectric Effect Dr. Purnima Shrivastava Department of Physics, Rani Durgavati Vishwavidyalaya, Jabalpur M.P, India ABSTRACT: Quantum mechanics (QM; also known as quantum physics or quantum theory), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles. Classical physics (the physics existing before quantum mechanics) is a set of fundamental theories which describes nature at ordinary (macroscopic) scale. Most theories in classical physics can be derived from quantum mechanics as an approximation valid at large (macroscopic) scale.[3] Quantum mechanics differs from classical physics in that: energy, momentum and other quantities of a system may be restricted to discrete values (quantization), objects have characteristics of both particles and waves (wave-particle duality), and there are limits to the precision with which quantities can be known (uncertainty principle). I. INTRODUCTION Physics is a means to describe the world around us. It makes use of facts, theories and experiments in order to determine certain physical quantities. Physicists are always looking for knowledge, trying to understand everything. One of the basic physical ideas is that everything can be known. To know everything might be difficult. It might even be practically impossible, but theoretically it must be possible. This is the main goal of physics: to know everything. -
Highways and Byways of Quantum Cosmology in Ancient Days
Highways and Byways of Quantum Cosmology in Ancient Days 1968-~1974 ~ 45 yrs. ago • When did quantum cosmology begin? • Bryce DeWitt 1967 • Quantization of an FRW model • A toy model of quantum gravity Misner group 1968- ~1974 • Why study quantum cosmology? • Again, a toy model of quantum gravity to study solutions to technical problems in canonical quantum gravity • e.g. time choice • No physics necessarily (but very seductive) • Later, quantum cosmology as physics became popular • Does quantum cosmology really have anything to do with physics? • Question: Does the following diagram commute? • Answer: Maybe • Toy model test: Cosmologies of higher symmetry imbedded in those of less symmetry (microsuperspace in minisuperspace) • Result: Sometimes yes, sometimes no. • Deciding factor: ~ near track of cosm. in superspace (i.e. perturbations to second order) Byways: Forgotten or unknown highways I) Exponential parametrization Very old attempt to maintain (to avoid “singularities”) Doesn’t always work, e.g. logarithmic solns. for exponents in Schwarzschild. Bianchi Cosmologies • Misner parametrization: Bianchi I: • Momenta conjugate to Hamiltonian constraint H = Hamiltonian constraint, H = (?) Of course, this is a simple change of variables. What about quantization? Consider the hydrogen atom (s-states, ): Classically , so try exponential parametrization, and Quantization: • Time-independent Schrödinger eqn. 1) “Misner” factor ordering: Taking Wrong! (by experiment) 2) “DeWitt” factor ordering: Laplace-Beltrami operator with Right answer Side remark: 3) “Hawking” factor ordering arbitrary constant Wrong for (In QC the “Hawking” factor ordering leads to interesting exact solutions for Bianchi IX) Hydrogen atom: this change of variables is OK up to factor ordering. In QC, lacking experiment, take your choice.