The BEH-Mechanism, Interactions with Short Range Forces and Scalar Particles
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Preliminary Acknowledgments
PRELIMINARY ACKNOWLEDGMENTS The central thesis of I Am You—that we are all the same person—is apt to strike many readers as obviously false or even absurd. How could you be me and Hitler and Gandhi and Jesus and Buddha and Greta Garbo and everybody else in the past, present and future? In this book I explain how this is possible. Moreover, I show that this is the best explanation of who we are for a variety of reasons, not the least of which is that it provides the metaphysical foundations for global ethics. Variations on this theme have been voiced periodically throughout the ages, from the Upanishads in the Far East, Averroës in the Middle East, down to Josiah Royce in the North East (and West). More recently, a number of prominent 20th century physicists held this view, among them Erwin Schrödinger, to whom it came late, Fred Hoyle, who arrived at it in middle life, and Freeman Dyson, to whom it came very early as it did to me. In my youth I had two different types of experiences, both of which led to the same inexorable conclusion. Since, in hindsight, I would now classify one of them as “mystical,” I will here speak only of the other—which is so similar to the experience Freeman Dyson describes that I have conveniently decided to let the physicist describe it for “both” of “us”: Enlightenment came to me suddenly and unexpectedly one afternoon in March when I was walking up to the school notice board to see whether my name was on the list for tomorrow’s football game. -
Richard Phillips Feynman Physicist and Teacher Extraordinary
ARTICLE-IN-A-BOX Richard Phillips Feynman Physicist and Teacher Extraordinary The first three decades of the twentieth century have been among the most momentous in the history of physics. The first saw the appearance of special relativity and the birth of quantum theory; the second the creation of general relativity. And in the third, quantum mechanics proper was discovered. These developments shaped the progress of fundamental physics for the rest of the century and beyond. While the two relativity theories were largely the creation of Albert Einstein, the quantum revolution took much more time and involved about a dozen of the most creative minds of a couple of generations. Of all those who contributed to the consolidation and extension of the quantum ideas in later decades – now from the USA as much as from Europe and elsewhere – it is generally agreed that Richard Phillips Feynman was the most gifted, brilliant and intuitive genius out of many extremely gifted physicists. Here are descriptions of him by leading physicists of his own, and older as well as younger generations: “He is a second Dirac, only this time more human.” – Eugene Wigner …Feynman was not an ordinary genius but a magician, that is one “who does things that nobody else could ever do and that seem completely unexpected.” – Hans Bethe “… an honest man, the outstanding intuitionist of our age and a prime example of what may lie in store for anyone who dares to follow the beat of a different drum..” – Julian Schwinger “… the most original mind of his generation.” – Freeman Dyson Richard Feynman was born on 11 May 1918 in Far Rockaway near New York to Jewish parents Lucille Phillips and Melville Feynman. -
Disturbing the Memory
1 1 February 1984 DISTURBING THE MEMORY E. T. Jaynes, St. John's College, Cambridge CB2 1TP,U.K. This is a collection of some weird thoughts, inspired by reading "Disturbing the Universe" by Freeman Dyson 1979, which I found in a b o okstore in Cambridge. He reminisces ab out the history of theoretical physics in the p erio d 1946{1950, particularly interesting to me b ecause as a graduate student at just that time, I knew almost every p erson he mentions. From the rst part of Dyson's b o ok we can learn ab out some incidents of this imp ortant p erio d in the development of theoretical physics, in which the present writer happ ened to b e a close and interested onlo oker but, regrettably, not a participant. Dyson's account lled in several gaps in myown knowledge, and in so doing disturb ed my memory into realizing that I in turn maybein a p osition to ll in some gaps in Dyson's account. Perhaps it would have b een b etter had I merely added myown reminiscences to Dyson's and left it at that. But like Dyson in the last part of his b o ok, I found it more fun to build a structure of conjectures on the rather lo ose framework of facts at hand. So the following is o ered only as a conjecture ab out how things mighthave b een; i.e. it ts all the facts known to me, and seems highly plausible from some vague impressions that I have retained over the years. -
Freeman Dyson, Visionary Technologist, Is Dead
2/28/20, 12:42 Page 1 of 10 https://nyti.ms/2TshCWY Freeman Dyson, Visionary Technologist, Is Dead at 96 After an early breakthrough on light and matter, he became a writer who challenged climate science and pondered space exploration and nuclear warfare. By George Johnson Feb. 28, 2020 Updated 3:30 p.m. ET Freeman J. Dyson, a mathematical prodigy who left his mark on subatomic physics before turning to messier subjects like Earth’s environmental future and the morality of war, died on Friday at a hospital near Princeton, N.J. He was 96. His daughter Mia Dyson confirmed the death. His son, George, said Dr. Dyson had fallen three days earlier in the cafeteria of the Institute for Advanced Study in Princeton, “his academic home for more than 60 years,” as the institute put it in a news release. As a young graduate student at Cornell University in 1949, Dr. Dyson wrote a landmark paper — worthy, some colleagues thought, of a Nobel Prize — that deepened the understanding of how light interacts with matter to produce the palpable world. The theory the paper advanced, called quantum electrodynamics, or QED, ranks among the great achievements of modern science. But it was as a writer and technological visionary that he gained public renown. He imagined exploring the solar system with spaceships propelled by nuclear explosions and establishing distant colonies nourished by genetically engineered plants. “Life begins at 55, the age at which I published my first book,” he wrote in “From Eros to Gaia,” one of the collections of his writings that appeared while he was a professor of physics at the Institute for Advanced Study — an august position for 2/28/20, 12:42 Page 2 of 10 someone who finished school without a Ph.D. -
Probability and Statistics, Parastatistics, Boson, Fermion, Parafermion, Hausdorff Dimension, Percolation, Clusters
Applied Mathematics 2018, 8(1): 5-8 DOI: 10.5923/j.am.20180801.02 Why Fermions and Bosons are Observable as Single Particles while Quarks are not? Sencer Taneri Private Researcher, Turkey Abstract Bosons and Fermions are observable in nature while Quarks appear only in triplets for matter particles. We find a theoretical proof for this statement in this paper by investigating 2-dim model. The occupation numbers q are calculated by a power law dependence of occupation probability and utilizing Hausdorff dimension for the infinitely small mesh in the phase space. The occupation number for Quarks are manipulated and found to be equal to approximately three as they are Parafermions. Keywords Probability and Statistics, Parastatistics, Boson, Fermion, Parafermion, Hausdorff dimension, Percolation, Clusters There may be particles that obey some kind of statistics, 1. Introduction generally called parastatistics. The Parastatistics proposed in 1952 by H. Green was deduced using a quantum field The essential difference in classical and quantum theory (QFT) [2, 3]. Whenever we discover a new particle, descriptions of N identical particles is in their individuality, it is almost certain that we attribute its behavior to the rather than in their indistinguishability [1]. Spin of the property that it obeys some form of parastatistics and the particle is one of its intrinsic physical quantity that is unique maximum occupation number q of a given quantum state to its individuality. The basis for how the quantum states for would be a finite number that could assume any integer N identical particles will be occupied may be taken as value as 1<q <∞ (see Table 1). -
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. -
Geometric Approaches to Quantum Field Theory
GEOMETRIC APPROACHES TO QUANTUM FIELD THEORY A thesis submitted to The University of Manchester for the degree of Doctor of Philosophy in the Faculty of Science and Engineering 2020 Kieran T. O. Finn School of Physics and Astronomy Supervised by Professor Apostolos Pilaftsis BLANK PAGE 2 Contents Abstract 7 Declaration 9 Copyright 11 Acknowledgements 13 Publications by the Author 15 1 Introduction 19 1.1 Unit Independence . 20 1.2 Reparametrisation Invariance in Quantum Field Theories . 24 1.3 Example: Complex Scalar Field . 25 1.4 Outline . 31 1.5 Conventions . 34 2 Field Space Covariance 35 2.1 Riemannian Geometry . 35 2.1.1 Manifolds . 35 2.1.2 Tensors . 36 2.1.3 Connections and the Covariant Derivative . 37 2.1.4 Distances on the Manifold . 38 2.1.5 Curvature of a Manifold . 39 2.1.6 Local Normal Coordinates and the Vielbein Formalism 41 2.1.7 Submanifolds and Induced Metrics . 42 2.1.8 The Geodesic Equation . 42 2.1.9 Isometries . 43 2.2 The Field Space . 44 2.2.1 Interpretation of the Field Space . 48 3 2.3 The Configuration Space . 50 2.4 Parametrisation Dependence of Standard Approaches to Quan- tum Field Theory . 52 2.4.1 Feynman Diagrams . 53 2.4.2 The Effective Action . 56 2.5 Covariant Approaches to Quantum Field Theory . 59 2.5.1 Covariant Feynman Diagrams . 59 2.5.2 The Vilkovisky–DeWitt Effective Action . 62 2.6 Example: Complex Scalar Field . 66 3 Frame Covariance in Quantum Gravity 69 3.1 The Cosmological Frame Problem . -
Physics Abstracts CLASSIFICATION and CONTENTS (PACC)
Physics Abstracts CLASSIFICATION AND CONTENTS (PACC) 0000 general 0100 communication, education, history, and philosophy 0110 announcements, news, and organizational activities 0110C announcements, news, and awards 0110F conferences, lectures, and institutes 0110H physics organizational activities 0130 physics literature and publications 0130B publications of lectures(advanced institutes, summer schools, etc.) 0130C conference proceedings 0130E monographs, and collections 0130K handbooks and dictionaries 0130L collections of physical data, tables 0130N textbooks 0130Q reports, dissertations, theses 0130R reviews and tutorial papers;resource letters 0130T bibliographies 0140 education 0140D course design and evaluation 0140E science in elementary and secondary school 0140G curricula, teaching methods,strategies, and evaluation 0140J teacher training 0150 educational aids(inc. equipment,experiments and teaching approaches to subjects) 0150F audio and visual aids, films 0150H instructional computer use 0150K testing theory and techniques 0150M demonstration experiments and apparatus 0150P laboratory experiments and apparatus 0150Q laboratory course design,organization, and evaluation 0150T buildings and facilities 0155 general physics 0160 biographical, historical, and personal notes 0165 history of science 0170 philosophy of science 0175 science and society 0190 other topics of general interest 0200 mathematical methods in physics 0210 algebra, set theory, and graph theory 0220 group theory(for algebraic methods in quantum mechanics, see -
The Center for Theoretical Physics: the First 50 Years
CTP50 The Center for Theoretical Physics: The First 50 Years Saturday, March 24, 2018 50 SPEAKERS Andrew Childs, Co-Director of the Joint Center for Quantum Information and Computer CTPScience and Professor of Computer Science, University of Maryland Will Detmold, Associate Professor of Physics, Center for Theoretical Physics Henriette Elvang, Professor of Physics, University of Michigan, Ann Arbor Alan Guth, Victor Weisskopf Professor of Physics, Center for Theoretical Physics Daniel Harlow, Assistant Professor of Physics, Center for Theoretical Physics Aram Harrow, Associate Professor of Physics, Center for Theoretical Physics David Kaiser, Germeshausen Professor of the History of Science and Professor of Physics Chung-Pei Ma, J. C. Webb Professor of Astronomy and Physics, University of California, Berkeley Lisa Randall, Frank B. Baird, Jr. Professor of Science, Harvard University Sanjay Reddy, Professor of Physics, Institute for Nuclear Theory, University of Washington Tracy Slatyer, Jerrold Zacharias CD Assistant Professor of Physics, Center for Theoretical Physics Dam Son, University Professor, University of Chicago Jesse Thaler, Associate Professor, Center for Theoretical Physics David Tong, Professor of Theoretical Physics, University of Cambridge, England and Trinity College Fellow Frank Wilczek, Herman Feshbach Professor of Physics, Center for Theoretical Physics and 2004 Nobel Laureate The Center for Theoretical Physics: The First 50 Years 3 50 SCHEDULE 9:00 Introductions and Welcomes: Michael Sipser, Dean of Science; CTP Peter -
The Conventionality of Parastatistics
The Conventionality of Parastatistics David John Baker Hans Halvorson Noel Swanson∗ March 6, 2014 Abstract Nature seems to be such that we can describe it accurately with quantum theories of bosons and fermions alone, without resort to parastatistics. This has been seen as a deep mystery: paraparticles make perfect physical sense, so why don't we see them in nature? We consider one potential answer: every paraparticle theory is physically equivalent to some theory of bosons or fermions, making the absence of paraparticles in our theories a matter of convention rather than a mysterious empirical discovery. We argue that this equivalence thesis holds in all physically admissible quantum field theories falling under the domain of the rigorous Doplicher-Haag-Roberts approach to superselection rules. Inadmissible parastatistical theories are ruled out by a locality- inspired principle we call Charge Recombination. Contents 1 Introduction 2 2 Paraparticles in Quantum Theory 6 ∗This work is fully collaborative. Authors are listed in alphabetical order. 1 3 Theoretical Equivalence 11 3.1 Field systems in AQFT . 13 3.2 Equivalence of field systems . 17 4 A Brief History of the Equivalence Thesis 20 4.1 The Green Decomposition . 20 4.2 Klein Transformations . 21 4.3 The Argument of Dr¨uhl,Haag, and Roberts . 24 4.4 The Doplicher-Roberts Reconstruction Theorem . 26 5 Sharpening the Thesis 29 6 Discussion 36 6.1 Interpretations of QM . 44 6.2 Structuralism and Haecceities . 46 6.3 Paraquark Theories . 48 1 Introduction Our most fundamental theories of matter provide a highly accurate description of subatomic particles and their behavior. -
Advanced Information on the Nobel Prize in Physics, 5 October 2004
Advanced information on the Nobel Prize in Physics, 5 October 2004 Information Department, P.O. Box 50005, SE-104 05 Stockholm, Sweden Phone: +46 8 673 95 00, Fax: +46 8 15 56 70, E-mail: [email protected], Website: www.kva.se Asymptotic Freedom and Quantum ChromoDynamics: the Key to the Understanding of the Strong Nuclear Forces The Basic Forces in Nature We know of two fundamental forces on the macroscopic scale that we experience in daily life: the gravitational force that binds our solar system together and keeps us on earth, and the electromagnetic force between electrically charged objects. Both are mediated over a distance and the force is proportional to the inverse square of the distance between the objects. Isaac Newton described the gravitational force in his Principia in 1687, and in 1915 Albert Einstein (Nobel Prize, 1921 for the photoelectric effect) presented his General Theory of Relativity for the gravitational force, which generalized Newton’s theory. Einstein’s theory is perhaps the greatest achievement in the history of science and the most celebrated one. The laws for the electromagnetic force were formulated by James Clark Maxwell in 1873, also a great leap forward in human endeavour. With the advent of quantum mechanics in the first decades of the 20th century it was realized that the electromagnetic field, including light, is quantized and can be seen as a stream of particles, photons. In this picture, the electromagnetic force can be thought of as a bombardment of photons, as when one object is thrown to another to transmit a force. -
Yang-Mills Theory, Lattice Gauge Theory and Simulations
Yang-Mills theory, lattice gauge theory and simulations David M¨uller Institute of Analysis Johannes Kepler University Linz [email protected] May 22, 2019 1 Overview Introduction and physical context Classical Yang-Mills theory Lattice gauge theory Simulating the Glasma in 2+1D 2 Introduction and physical context 3 Yang-Mills theory I Formulated in 1954 by Chen Ning Yang and Robert Mills I A non-Abelian gauge theory with gauge group SU(Nc ) I A non-linear generalization of electromagnetism, which is a gauge theory based on U(1) I Gauge theories are a widely used concept in physics: the standard model of particle physics is based on a gauge theory with gauge group U(1) × SU(2) × SU(3) I All fundamental forces (electromagnetism, weak and strong nuclear force, even gravity) are/can be formulated as gauge theories 4 Classical Yang-Mills theory Classical Yang-Mills theory refers to the study of the classical equations of motion (Euler-Lagrange equations) obtained from the Yang-Mills action Main topic of this seminar: solving the classical equations of motion of Yang-Mills theory numerically Not topic of this seminar: quantum field theory, path integrals, lattice quantum chromodynamics (except certain methods), the Millenium problem related to Yang-Mills . 5 Classical Yang-Mills in the early universe 6 Classical Yang-Mills in the early universe Electroweak phase transition: the electro-weak force splits into the weak nuclear force and the electromagnetic force This phase transition can be studied using (extensions of) classical Yang-Mills theory Literature: I G. D.