Group Theory for the Standard Model of Particle Physics and Beyond

Author: Ken J. Barnes
Publisher: Taylor & Francis
ISBN: 1439895201
Format: PDF, Mobi
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Based on the author’s well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries. After linking symmetries with conservation laws, the book works through the mathematics of angular momentum and extends operators and functions of classical mechanics to quantum mechanics. It then covers the mathematical framework for special relativity and the internal symmetries of the standard model of elementary particle physics. In the chapter on Noether’s theorem, the author explains how Lagrangian formalism provides a natural framework for the quantum mechanical interpretation of symmetry principles. He then examines electromagnetic, weak, and strong interactions; spontaneous symmetry breaking; the elusive Higgs boson; and supersymmetry. He also introduces new techniques based on extending space–time into dimensions described by anticommuting coordinates. Designed for graduate and advanced undergraduate students in physics, this text provides succinct yet complete coverage of the group theory of the symmetries of the standard model of elementary particle physics. It will help students understand current knowledge about the standard model as well as the physics that potentially lies beyond the standard model.

Group Theory for the Standard Model of Particle Physics and Beyond

Author: Ken J. Barnes
Publisher: CRC Press
ISBN: 9781420078749
Format: PDF
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Based on the author’s well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries. After linking symmetries with conservation laws, the book works through the mathematics of angular momentum and extends operators and functions of classical mechanics to quantum mechanics. It then covers the mathematical framework for special relativity and the internal symmetries of the standard model of elementary particle physics. In the chapter on Noether’s theorem, the author explains how Lagrangian formalism provides a natural framework for the quantum mechanical interpretation of symmetry principles. He then examines electromagnetic, weak, and strong interactions; spontaneous symmetry breaking; the elusive Higgs boson; and supersymmetry. He also introduces new techniques based on extending space–time into dimensions described by anticommuting coordinates. Designed for graduate and advanced undergraduate students in physics, this text provides succinct yet complete coverage of the group theory of the symmetries of the standard model of elementary particle physics. It will help students understand current knowledge about the standard model as well as the physics that potentially lies beyond the standard model.

Symmetries and Group Theory in Particle Physics

Author: Giovanni Costa
Publisher: Springer
ISBN: 3642154824
Format: PDF, Kindle
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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.

Symmetry and the Standard Model

Author: Matthew Robinson
Publisher: Springer Science & Business Media
ISBN: 1441982671
Format: PDF, ePub
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While theoretical particle physics is an extraordinarily fascinating field, the incredibly fast pace at which it moves along, combined with the huge amount of background information necessary to perform cutting edge research, poses a formidable challenge for graduate students. This book represents the first in a series designed to assist students in the process of transitioning from coursework to research in particle physics. Rather than reading literally dozens of physics and mathematics texts, trying to assimilate the countless ideas, translate notations and perspectives, and see how it all fits together to get a holistic understanding, this series provides a detailed overview of the major mathematical and physical ideas in theoretical particle physics. Ultimately the ideas will be presented in a unified, consistent, holistic picture, where each topic is built firmly on what has come before, and all topics are related in a clear and intuitive way. This introductory text on quantum field theory and particle physics provides both a self-contained and complete introduction to not only the necessary physical ideas, but also a complete introduction to the necessary mathematical tools. Assuming minimal knowledge of undergraduate physics and mathematics, this book lays both the mathematical and physical groundwork with clear, intuitive explanations and plenty of examples. The book then continues with an exposition of the Standard Model of Particle Physics, the theory that currently seems to explain the universe apart from gravity. Furthermore, this book was written as a primer for the more advanced mathematical and physical ideas to come later in this series.

The Physics of the Standard Model and Beyond

Author: T. Morii
Publisher: World Scientific
ISBN: 9789812795601
Format: PDF, ePub
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This book provides a unified description of elementary particle interactions and the underlying theories, namely the Standard Model and beyond. The authors have aimed at a concise presentation but have taken care that all the basic concepts are clearly described. Written primarily for graduate students in theoretical and experimental particle physics, The Physics of the Standard Model and Beyond conveys the excitement of particle physics, centering upon experimental observations (new and old) and a variety of ideas for their interpretation. Contents: Weak Interaction; Symmetries and the Gauge Theories; The Standard Model of Electroweak Interactions; Quantum Chromodynamics; Neutrino Masses and Neutrino Oscillations; Supersymmetry; Precision Test of Electroweak Radiative Corrections and New Physics; Flavor Physics and CP Violation; Appendices: Notation and Useful Relations; Cross Sections and Feynman Rule; Basics of the Group Theory; C, P and T Transformation; The Quark Model. Readership: Graduate students, experimentalists and theorists in high energy physics.

The Standard Model and Beyond Second Edition

Author: Paul Langacker
Publisher: CRC Press
ISBN: 1498763227
Format: PDF, ePub, Mobi
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This new edition of The Standard Model and Beyond presents an advanced introduction to the physics and formalism of the standard model and other non-abelian gauge theories. It provides a solid background for understanding supersymmetry, string theory, extra dimensions, dynamical symmetry breaking, and cosmology. In addition to updating all of the experimental and phenomenological results from the first edition, it contains a new chapter on collider physics; expanded discussions of Higgs, neutrino, and dark matter physics; and many new problems. The book first reviews calculational techniques in field theory and the status of quantum electrodynamics. It then focuses on global and local symmetries and the construction of non-abelian gauge theories. The structure and tests of quantum chromodynamics, collider physics, the electroweak interactions and theory, and the physics of neutrino mass and mixing are thoroughly explored. The final chapter discusses the motivations for extending the standard model and examines supersymmetry, extended gauge groups, and grand unification. Thoroughly covering gauge field theories, symmetries, and topics beyond the standard model, this text equips readers with the tools to understand the structure and phenomenological consequences of the standard model, to construct extensions, and to perform calculations at tree level. It establishes the necessary background for readers to carry out more advanced research in particle physics. Supplementary materials are provided on the author’s website and a solutions manual is available for qualifying instructors.

Symmetries and Conservation Laws in Particle Physics

Author: Stephen Haywood
Publisher: World Scientific
ISBN: 1848166591
Format: PDF, Docs
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This book will explain how group theory underpins some of the key features of particle physics. It will examine symmetries and conservation laws in quantum mechanics and relate these to groups of transformations. Group theory provides the language for describing how particles (and in particular, their quantum numbers) combine. This provides understanding of hadronic physics as well as physics beyond the Standard Model. The symmetries of the Standard Model associated with the Electroweak and Strong (QCD) forces are described by the groups U(1), SU(2) and SU(3). The properties of these groups are examined and the relevance to particle physics is discussed.Stephen Haywood, author of Symmetries And Conservation Laws In Particle Physics, explains how his book can help experimental physicists and PhD students understand group theory and particle physics in our new video View the interview at http: //www.youtube.com/watch'v=jbQk78TBLS

Supersymmetry and String Theory

Author: Michael Dine
Publisher: Cambridge University Press
ISBN: 1107048389
Format: PDF, Mobi
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This fully updated second edition provides a thorough overview of string theory and supersymmetry and includes the groundbreaking Higgs discovery.

The Standard Model and Beyond

Author: J D Vergados
Publisher: World Scientific Publishing Company
ISBN: 9813228571
Format: PDF, Kindle
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This book contains a systematic and pedagogical exposition of recent developments in particle physics and cosmology. It starts with two introductory chapters on group theory and the Dirac theory. Then it proceeds with the formulation of the Standard Model (SM) of Particle Physics, particle content and symmetries, fully exploiting the material of the first two chapters. It discusses the concept of gauge symmetries and emphasizes their role in particle physics. It then analyses the Higgs mechanism and the spontaneous symmetry breaking (SSB). It explains how the particles (gauge bosons and fermions) after the SSB acquire a mass and get admixed. The various forms of the charged currents are discussed in detail as well as how the parameters of the SM, which cannot be determined by the theory, are fixed by experiment, including the recent LHC data and the Higgs discovery. Quantum chromodynamics is discussed and various low energy approximations to it are presented. The Feynman diagrams are introduced and applied, at the level of first year graduate students. Examples are the evaluation of the decay widths of the gauge bosons and some cross sections for interesting processes such as Rutherford scattering, electron-proton scattering (elementary proton or described by a form factor, and inelastic scattering) and Compton scattering. After that the classic topics like the role of C, P, CP symmetries and the experimental methods needed to verify their conservation or violation are discussed in some detail. Topics beyond the standard model, like supersymmetry for pedestrians and grand unification, are discussed. To this end neutrino oscillations, dark matter and baryon asymmetry are also briefly discussed at the first year graduate level. Finally, the book contains an exhibition of recent developments in cosmology, especially from the elementary particle point of view. Contents: Mathematical Prerequisite A: Elements of Group TheoryMathematical Prerequisite B: The Dirac TheoryThe Standard Model: Particle Content and SymmetryThe Higgs MechanismFermion Masses and CurrentsThe SM SU(3) Group; Quantum ChromodynamicsRates and Cross Sections in Electroweak TheorySupersymmetry for PedestriansGrand Unification; The SU(5) ExampleA Brief Introduction to CosmologyAspects of Neutrino Physics; Neutrino OscillationsDiscrete Symmetries: C, P, T and All ThatAppendix: Some Elementary Aspects of Particle Physics Readership: Advanced undergraduates and beginning graduates studying particle or astroparticle physics.

Journeys Beyond the Standard Model

Author: Pierre Ramond
Publisher: Westview Press
ISBN: 9780738201160
Format: PDF
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This book should be at the side of every particle and nuclear physics graduate student and professional. Journeys Beyond the Standard Model starts with a detailed and modern account of the Standard Model of elementary particle physics, the paradigm of particle physics for the last twenty years. Its timely release coincides with the recent dramatic discovery that the neutrino has a finite mass, which is the first indication that the Standard Model is an incomplete description of fundamental physics at short distances. This book presents in detail three possible generalizations of the Standard Model: its extension to accommodate neutrino masses; its extension to avoid CP violation in the strong interactions by introducing a new particle, the axion; and finally, its generalization to low-energy supersymmetry, which provides a link between the standard model and Einstein's theory of general relativity.This new graduate text complements the author's previous book, Modern Field Theory: A Primer , which focuses on the methodology of particle physics. Its aim is to give students and professional physicists alike a thorough comprehension of the phenomena described by the Standard Model, while keeping track of the most recent and cutting-edge principles of elementary particle physics.