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Book Unitary Symmetry and Elementary Particles

Download or read book Unitary Symmetry and Elementary Particles written by D Lichtenberg and published by Elsevier. This book was released on 2012-12-02 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unitary Symmetry and Elementary Particles, Second Edition presents the role of symmetry in the study of the physics of the elementary particles. This book discusses the nature and scope of unitary symmetry in physics. Comprised of 12 chapters, this edition starts with an overview of the theories of electromagnetism and gravitation to describe the behavior of certain physical systems. This text then examines the two main categories of the mathematical properties of groups, namely, the properties of abstract groups and the properties of representations of groups. Other chapters consider the use of group theory, which is a significant tool in studying symmetry. This book discusses as well the states that are the basis vectors of irreducible unitary representations of Lie group. The final chapter deals with the quark model, which provides a useful way to understand many properties of hadrons in terms of simpler entities. This book is a valuable resource for physicists.

Book Unitary Symmetry and Elementary Particles

Download or read book Unitary Symmetry and Elementary Particles written by D. B. Lichtenberg and published by Academic Press. This book was released on 2013-10-22 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unitary Symmetry and Elementary Particles discusses the role of symmetry in elementary particle physics. The book reviews the theory of abstract groups and group representations including Eigenstates, cosets, conjugate classes, unitary vector spaces, unitary representations, multiplets, and conservation laws. The text also explains the concept of Young Diagrams or Young Tableaux to prove the basis functions of the unitary irreducible representations of the unitary group SU(n). The book defines Lie groups, Lie algebras, and gives some examples of these groups. The basis vectors of irreducible unitary representations of Lie groups constitute a multiplet, which according to Racah (1965) and Behrends et al. (1962) can have properties of weights. The text also explains the properties of Clebsch-Gordan coefficients and the Wigner-Eckart theorem. SU(3) multiplets have members classified as hadrons (strongly interacting particles), of which one characteristic show that the mass differences of these members have some regular properties. The Gell-Mann and Ne-eman postulate also explains another characteristic peculiar to known multiplets. The book describes the quark model, as well as, the uses of the variants of the quark model. This collection is suitable for researchers and scientists in the field of applied mathematics, nuclear physics, and quantum mechanics.

Book Symmetries and Group Theory in Particle Physics

Download or read book Symmetries and Group Theory in Particle Physics written by Giovanni Costa and published by Springer Science & Business Media. This book was released on 2012-02-05 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.

Book Symmetry Principles Particle Physics

Download or read book Symmetry Principles Particle Physics written by W. M. Gibson and published by Cambridge University Press. This book was released on 1976-03-11 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of the properties and interactions of the elementary particles is an essential prerequisite of research work in high energy physics. Much progress in the subject has been achieved with the aid of symmetry principles. In this 1980 book the concept of symmetry or invariance is employed as a unifying theme. Using a careful explanation of the mathematical formalism and with many applications to particular cases, the authors introduce the reader to the symmetry schemes which dominate the world of the particle physicist. The presentation will also appeal to mathematicians and physicists in other fields who are interested in the applications of the general principles of symmetry. After a brief survey of the particles and a review of the relevant quantum mechanics, the principal symmetries are studied in turn. Some technical points are relegated to appendices and the book contains extensive references.

Book Lectures on Elementary Particles and Quantum Field Theory

Download or read book Lectures on Elementary Particles and Quantum Field Theory written by Stanley Deser and published by Mit Press. This book was released on 1970 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of the Brandeis University Summer Institute lecture series of 1970 on theories of interacting elementary particles, consisting of four sets of lectures. Every summer since 1959 Brandeis University has conducted a lecture series centered on various areas of theoretical physics. The areas are sufficiently broad to interest a large number of physicists and the lecturers are among the original explorers of these areas. The 1970 lectures, presented in two volumes, are on theories of interacting elementary particles. The four lecturers of Volume 1, and the range of the topics they cover, are as follows: Stephen L. Adler (Institute for Advanced Study) on "Perturbation Theory Anomalies": introduction and review of perturbation theory; the VVA triangle anomaly; absence of radiative corrections; generalizations of our results; connection between Ward identity anomalies and commutator (Bjorken-limit) anomalies; applications of the Bjorken limit; and breakdown of the Bjorken limit in perturbation theory. Stanley Mandelstam (University of California at Berkeley) on "Dynamical Applications of the Veneziano formula for the four-point scalar amplitude; factorization; the operator formalism; Veneziano-type quark models; and higher-order Feynman-like diagrams. Steven Weinberg (Massachusetts Institute of Technology) on "Dynamic and Algebraic Symmetries": Introduction; hadron electrodynamics; local symmetries; and chirality. Wolfhart Zimmermann (New York University) on "Local Operator Products and Renormalization in Quantum Field Theory": introduction; renormalization; operator product expansions; and local field equations. The second volume contains lectures by Rudolf Haag on observables and fields, by Maurice Jacob on duality, by Michael Reed on non-Fock representations, and by Bruno Zumino on effective Lagrangians and broken symmetries.

Book Lectures on Unitary Symmetry and Elementary Particles

Download or read book Lectures on Unitary Symmetry and Elementary Particles written by Don Bernett Lichtenberg and published by . This book was released on 1965 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Lectures on Group Theory and Particle Theory

Download or read book Lectures on Group Theory and Particle Theory written by Henri Bacry and published by Routledge. This book was released on 1977 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Lectures on Quantum Chromodynamics

Download or read book Lectures on Quantum Chromodynamics written by A. V. Smilga and published by World Scientific. This book was released on 2001 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum chromodynamics is the fundamental theory of strong interactions. It is a physical theory describing Nature. Lectures on Quantum Chromodynamics concentrates, however, not on the phenomenological aspect of QCD; books with comprehensive coverage of phenomenological issues have been written. What the reader will find in this book is a profound discussion on the theoretical foundations of QCD with emphasis on the nonperturbative formulation of the theory: What is gauge symmetry on the classical and on the quantum level? What is the path integral in field theory? How to define the path integral on the lattice, keeping intact as many symmetries of the continuum theory as possible? What is the QCD vacuum state? What is the effective low energy dynamics of QCD? How do the ITEP sum rules work? What happens if we heat and/or squeeze hadronic matter? Perturbative issues are also discussed: How to calculate Feynman graphs? What is the BRST symmetry? What is the meaning of the renormalization procedure? How to resum infrared and collinear singularities? And so on. The book is an outgrowth of the course of lectures given by the author for graduate students at ITEP in Moscow. Much extra material has been added. Sample Chapter(s). Introduction: Some History (331 KB). Lecture 1.1: Path Ordered Exponentials. Invariant Actions (624 KB). Lecture 1.2: Classical Solutions (266 KB). Lecture 2.1: Topological Charge (329 KB). Lecture 2.2: Explicit Solutions (338 KB). Lecture 3.1: Conventional Approach (330 KB). Lecture 3.2: Euclidean Path Integral (150 KB). Lecture 3.3: Holomorphic Representation (177 KB). Lecture 3.4: Grassmann Dynamic Variables (340 KB). Lecture 4.1: Dirac Quantization Procedure 782 KB). Lecture 4.2: Path Integral on the Lattice (330 KB). Lecture 5.1: Quantum Pendulum (534 KB). Lecture 5.2: Large Gauge Transformations in Non-Abelian Theory (395 KB). Contents: Foundations: YangOCoMills Field; Instantons; Path Integral in Quantum Mechanics; Quantization of Gauge Theories; Perturbation Theory: Diagram Technique in Simple and Complicated Theories; When the Gauge is Fixed OC Regularization and Renormalization; Running Coupling Constant; Weathering Infrared Storms; Collinear Singularities: Theory and Phenomenology; Nonperturbative QCD: Symmetries: Anomalous and Not; Quarks on Euclidean Lattice; Aspects of Chiral Symmetry; Mesoscopic QCD; Fairy QCD; ITEP Sum Rules: The Duality Festival; Hot and Dense QCD; Confinement. Readership: High energy physicists and advanced level graduate students in high energy physics."

Book Symposia on Theoretical Physics 4

Download or read book Symposia on Theoretical Physics 4 written by Alladi Ramakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Third Anniversary Symposium, held in January 1965, was devoted mainly to various topics in elementary particle physics, with a few lectures on many-body problems and a short supple mentary program in mathematics. * In the Introductory Address Professor V. Weisskopf, Director General of CERN, Geneva, presented a broad survey of the then current scene in elementary particle physics, the most dominant trend in which is the concept of symmetry. He traced the use of the concept of rotational invariance and symmetry under permutation of identical objects in the realm of atomic spectra and how, with the inclusion of isotopic spin, such use was extended to the study of properties of nuclei. Professor Weisskopf also described how, in ad dition, elementary particles are characterized by a new quantum number, the hypercharge, which, with isotopic spin, is part of a wider symmetry SU(3). He mentioned three classes of experiments at CERN, one in search of quarks, one to investigate the existence of vector bosons suggested by theories as possible mediators of weak interaction, and one to test the existence of cosmic forces to explain C P or T violation. The quotations from Newton's Opticks at the beginning and the end of the lecture were strikingly relevant. Two lectures dealt with the application of SU(3) symmetry to weak and strong interactions, respectively. Ph. Meyer of the Uni versity of Paris, Orsay summarized his work on the conserved vector current hypothesis in relation to broken symmetries.

Book Elementary Particles and the Laws of Physics

Download or read book Elementary Particles and the Laws of Physics written by Richard P. Feynman and published by Cambridge University Press. This book was released on 1999-07-13 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perhaps the two most important conceptual breakthroughs in twentieth century physics are relativity and quantum mechanics. Developing a theory that combines the two seamlessly is a difficult and ongoing challenge. This accessible book contains intriguing explorations of this theme by the distinguished physicists Richard Feynman and Steven Weinberg. Richard Feynman's contribution examines the nature of antiparticles, and in particular the relationship between quantum spin and statistics. In his essay, Steven Weinberg speculates on how Einstein's theory of gravitation might be reconciled with quantum theory in the final laws of physics. Both these Nobel laureates have made huge contributions to fundamental research in physics, as well as to the popularization of science. Anyone interested in the development of modern physics will find this a fascinating book.

Book Symmetries  Asymmetries  and the World of Particles

Download or read book Symmetries Asymmetries and the World of Particles written by T. D. Lee and published by University of Washington Press. This book was released on 1988 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses mirror symmetry, a symmetries, time reversal, vacuum as a physical medium, spontaneous symmetry breaking, particles, and quarks.

Book Lectures in Theoretical Physics

Download or read book Lectures in Theoretical Physics written by and published by . This book was released on 1967 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Group Theoretical Concepts and Methods in Elementary Particle Physics

Download or read book Group Theoretical Concepts and Methods in Elementary Particle Physics written by Feza Gürsey and published by . This book was released on 1964 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Symmetries and Elementary Particles

Download or read book Symmetries and Elementary Particles written by Francis Eugene Low and published by . This book was released on 1967 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book High energy Physics and Elementary Particles

Download or read book High energy Physics and Elementary Particles written by International Centre for Theoretical Physics and published by . This book was released on 1965 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book ITEP Lectures on Particle Physics and Field Theory

Download or read book ITEP Lectures on Particle Physics and Field Theory written by Mikhail A. Shifman and published by World Scientific. This book was released on 1999 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Theory of Symmetry Actions in Quantum Mechanics

Download or read book The Theory of Symmetry Actions in Quantum Mechanics written by Gianni Cassinelli and published by Springer Science & Business Media. This book was released on 2004-10-27 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given.