Group Theory for the Standard Model of Particle Physics and Beyond

Author: Ken J. Barnes
Publisher: Taylor & Francis
ISBN: 1439895201
Format: PDF, ePub, 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.

Symmetry and the Standard Model

Author: Matthew Robinson
Publisher: Springer Science & Business Media
ISBN: 1441982671
Format: PDF, ePub, Docs
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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 Standard Model and Beyond Second Edition

Author: Paul Langacker
Publisher: CRC Press
ISBN: 1498763227
Format: PDF, ePub, Docs
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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.

The Physics of the Standard Model and Beyond

Author: T. Morii
Publisher: World Scientific
ISBN: 9789812795601
Format: PDF, ePub, Docs
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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.

Symmetries and Conservation Laws in Particle Physics

Author: Stephen Haywood
Publisher: World Scientific
ISBN: 1848166591
Format: PDF, ePub, Mobi
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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, Docs
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This fully updated second edition provides a thorough overview of string theory and supersymmetry and includes the groundbreaking Higgs discovery.

Advanced Particle Physics

Author: Oleg Boyarkin
Publisher: CRC Press
ISBN: 1439804168
Format: PDF
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Helping readers understand the complicated laws of nature, Advanced Particle Physics Volume II: The Standard Model and Beyond explains the calculations, experimental procedures, and measuring methods of particle physics, particularly quantum chromodynamics (QCD). It also discusses extensions to the Standard Model and the physics of massive neutrinos. Divided into three parts, this volume begins with QCD. It explains the quantization scheme using functional integrals and investigates renormalization problems. The book also calculates cross sections of basic hard processes and covers nonperturbative methods, such as the lattice approach and QCD vacuum. The next part focuses on electroweak interactions, in which the author describes the Glashow–Weinberg–Salam theory and presents composite models and a left-right symmetric model as extensions to the Standard Model. The book concludes with chapters on massive neutrino physics that cover neutrino properties, neutrino oscillation in vacuum and matter, and solar and atmospheric neutrinos.

Particle Physics beyond the Standard Model

Author:
Publisher: Elsevier
ISBN: 9780080463148
Format: PDF, Mobi
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The Standard Model of elementary particles and interactions is one of the best tested theories in physics. It has been found to be in remarkable agreement with experiment, and its validity at the quantum level has been successfully probed in the electroweak sector. In spite of its experimental successes, though, the Standard Model suffers from a number of limitations, and is likely to be an incomplete theory. It contains many arbitrary parameters; it does not include gravity, the fourth elementary interaction; it does not provide an explanation for the hierarchy between the scale of electroweak interactions and the Planck scale, characteristic of gravitational interactions; and finally, it fails to account for the dark matter and the baryon asymmetry of the universe. This led particle theorists to develop and study various extensions of the Standard Model, such as supersymmetric theories, Grand Unified Theories or theories with extra space-time dimensions - most of which have been proposed well before the experimental verification of the Standard Model. The coming generation of experimental facilities (such as high-energy colliders, B-physics experiments, neutrino superbeams, as well as astrophysical and cosmological observational facilities) will allow us to test the predictions of these theories and to deepen our understanding of the fundamental laws of nature. This book is a collection of lectures given in August 2005 at the Les Houches Summer School on Particle Physics beyond the Standard Model. It provides a pedagogical introduction to the various aspects of particle physics beyond the Standard Model, covering each topic from the basics to the most recent developments: supersymmetric theories, Grand Unified Theories, theories with extra dimensions, flavour physics and CP violation, neutrino physics, astroparticle physics and cosmology. · Provides a pedagogical introduction to particle physics beyond the Standard Model · Covers the various aspects of particle physics beyond the Standard Model · Addresses each topic from the basics to the most recent developments · Addresses both the theoretical and phenomenological aspects of the subject · Written in a pedagogical style by leading experts in the field

Particle and Astroparticle Physics

Author: Utpal Sarkar
Publisher: CRC Press
ISBN: 9781584889328
Format: PDF, ePub, Mobi
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From superstring theory to models with extra dimensions to dark matter and dark energy, a range of theoretically stimulating ideas have evolved for physics beyond the standard model. These developments have spawned a new area of physics that centers on the interplay between particle physics and cosmology—astroparticle physics. Providing the necessary theoretical background, Particle and Astroparticle Physics clearly presents the many recent advances that have occurred in these fields. Divided into five parts, the book begins with discussions on group and field theories. The second part summarizes the standard model of particle physics and includes some extensions to the model, such as neutrino masses and CP violation. The next section focuses on grand unified theories and supersymmetry. The book then discusses the general theory of relativity, higher dimensional theories of gravity, and superstring theory. It also introduces various novel ideas and models with extra dimensions and low-scale gravity. The last part of the book deals with astroparticle physics. After an introduction to cosmology, it covers several specialized topics, including baryogenesis, dark matter, dark energy, and brane cosmology. With numerous equations and detailed references, this lucid book explores the new physics beyond the standard model, showing that particle and astroparticle physics will together reveal unique insights in the next era of physics.

An Introduction to Particle Physics and the Standard Model

Author: Robert Mann
Publisher: CRC Press
ISBN: 1439887608
Format: PDF, ePub
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An Introduction to the Standard Model of Particle Physics familiarizes readers with what is considered tested and accepted and in so doing, gives them a grounding in particle physics in general. Whenever possible, Dr. Mann takes an historical approach showing how the model is linked to the physics that most of us have learned in less challenging areas. Dr. Mann reviews special relativity and classical mechanics, symmetries, conservation laws, and particle classification; then working from the tested paradigm of the model itself, he: Describes the Standard Model in terms of its electromagnetic, strong, and weak components Explores the experimental tools and methods of particle physics Introduces Feynman diagrams, wave equations, and gauge invariance, building up to the theory of Quantum Electrodynamics Describes the theories of the Strong and Electroweak interactions Uncovers frontier areas and explores what might lie beyond our current concepts of the subatomic world Those who work through the material will develop a solid command of the basics of particle physics. The book does require a knowledge of special relativity, quantum mechanics, and electromagnetism, but most importantly it requires a hunger to understand at the most fundamental level: why things exist and how it is that anything happens. This book will prepare students and others for further study, but most importantly it will prepare them to open their minds to the mysteries that lie ahead. Ultimately, the Large Hadron Collider may prove the model correct, helping so many realize their greatest dreams ... or it might poke holes in the model, leaving us to wonder an even more exciting possibility: that the answers lie in possibilities so unique that we have not even dreamt of them.