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An Introduction To Non Abelian Discrete Symmetries For Particle Physicists
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Book Synopsis An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists by : Hajime Ishimori
Download or read book An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists written by Hajime Ishimori and published by Springer. This book was released on 2012-07-25 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a tutorial review of non-Abelian discrete groups and show some applications to issues in physics where discrete symmetries constitute an important principle for model building in particle physics. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics - in particular model building beyond the standard model - non-Abelian discrete symmetries have been applied to understand the three-generation flavor structure in particular. Indeed, non-Abelian discrete symmetries are considered to be the most attractive choice for the flavor sector: model builders have tried to derive experimental values of quark and lepton masses, and mixing angles by assuming non-Abelian discrete flavor symmetries of quarks and leptons, yet, lepton mixing has already been intensively discussed in this context, as well. The possible origins of the non-Abelian discrete symmetry for flavors is another topic of interest, as they can arise from an underlying theory - e.g. the string theory or compactification via orbifolding – thereby providing a possible bridge between the underlying theory and the corresponding low-energy sector of particle physics. This text explicitly introduces and studies the group-theoretical aspects of many concrete groups and shows how to derive conjugacy classes, characters, representations, and tensor products for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest.
Book Synopsis An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists by : Tatsuo Kobayashi
Download or read book An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists written by Tatsuo Kobayashi and published by Springer Nature. This book was released on 2022-02-23 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics—particularly model building beyond the standard model—non-Abelian discrete symmetries have been applied particularly to understand the three-generation flavor structure. The non-Abelian discrete symmetries are indeed considered to be the most attractive choice for a flavor sector: Model builders have tried to derive experimental values of quark and lepton masses, mixing angles and CP phases on the assumption of non-Abelian discrete flavor symmetries of quarks and leptons, yet lepton mixing has already been intensively discussed in this context as well. Possible origins of the non-Abelian discrete symmetry for flavors are another topic of interest, as they can arise from an underlying theory, e.g., the string theory or compactification via orbifolding as geometrical symmetries such as modular symmetries, thereby providing a possible bridge between the underlying theory and corresponding low-energy sector of particle physics. The book offers explicit introduction to the group theoretical aspects of many concrete groups, and readers learn how to derive conjugacy classes, characters, representations, tensor products, and automorphisms for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. Further, CP symmetry and modular symmetry are also presented.
Download or read book Particle Physics written by Robert Purdy and published by Mercury Learning and Information. This book was released on 2022-12-29 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition is designed as a brief introduction to the fundamental particles that make up the matter in our universe. Numerous examples, figures, and simple explanations enable general readers and physics students to understand complex concepts related to the universe. Selected topics include atoms, quarks, accelerators, detectors, colliders, string theory, and more. FEATURES Explores the fundamental particles that make up the matter in our universe Topics include atoms, quarks, accelerators, detectors, colliders, string theory, and more
Book Synopsis Neutrinos in High Energy and Astroparticle Physics by : José Wagner Furtado Valle
Download or read book Neutrinos in High Energy and Astroparticle Physics written by José Wagner Furtado Valle and published by John Wiley & Sons. This book was released on 2015-02-02 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained modern textbook provides a modern description of the Standard Model and its main extensions from the perspective of neutrino physics. In particular it includes a thorough discussion of the varieties of seesaw mechanism, with or without supersymmetry. It also discusses schemes where neutrino mass arises from lighter messengers, which might lie within reach of the world's largest particle accelerator, the Large Hadron Collider. Throughout the text, the book stresses the role of neutrinos due to the fact that neutrino properties may serve as a guide to the correct model of unification, hence for a deeper understanding of high energy physics, and because neutrinos play an important role in astroparticle physics and cosmology. Each chapter includes summaries and set of problems, as well as further reading.
Book Synopsis Symmetries and Group Theory in Particle Physics by : Giovanni Costa
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 Synopsis Gauge Theories in Particle Physics: A Practical Introduction, Volume 2: Non-Abelian Gauge Theories by : Ian J R Aitchison
Download or read book Gauge Theories in Particle Physics: A Practical Introduction, Volume 2: Non-Abelian Gauge Theories written by Ian J R Aitchison and published by CRC Press. This book was released on 2012-12-17 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 of this revised and updated edition provides an accessible and practical introduction to the two non-Abelian quantum gauge field theories of the Standard Model of particle physics: quantum chromodynamics (QCD) and the Glashow-Salam-Weinberg (GSW) electroweak theory.This volume covers much of the experimental progress made in the last ten y
Book Synopsis Symmetries and Conservation Laws in Particle Physics by : Stephen Haywood
Download or read book Symmetries and Conservation Laws in Particle Physics written by Stephen Haywood and published by World Scientific. This book was released on 2011 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Gauge Theories in Particle Physics: A Practical Introduction, Fourth Edition - 2 Volume set by : Ian J.R. Aitchison
Download or read book Gauge Theories in Particle Physics: A Practical Introduction, Fourth Edition - 2 Volume set written by Ian J.R. Aitchison and published by CRC Press. This book was released on 2021-01-14 with total page 979 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth edition of this well-established, highly regarded two-volume set continues to provide a fundamental introduction to advanced particle physics while incorporating substantial new experimental results, especially in the areas of CP violation and neutrino oscillations. It offers an accessible and practical introduction to the three gauge theories included in the Standard Model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the Glashow-Salam-Weinberg (GSW) electroweak theory. In the first volume, a new chapter on Lorentz transformations and discrete symmetries presents a simple treatment of Lorentz transformations of Dirac spinors. Along with updating experimental results, this edition also introduces Majorana fermions at an early stage, making the material suitable for a first course in relativistic quantum mechanics. Covering much of the experimental progress made in the last ten years, the second volume remains focused on the two non-Abelian quantum gauge field theories of the Standard Model: QCD and the GSW electroweak theory. A new chapter on CP violation and oscillation phenomena describes CP violation in B-meson decays as well as the main experiments that have led to our current knowledge of mass-squared differences and mixing angles for neutrinos. Exploring a new era in particle physics, this edition discusses the exciting discovery of a boson with properties consistent with those of the Standard Model Higgs boson. It also updates many other topics, including jet algorithms, lattice QCD, effective Lagrangians, and three-generation quark mixing and the CKM matrix. This revised and updated edition provides a self-contained pedagogical treatment of the subject, from relativistic quantum mechanics to the frontiers of the Standard Model. For each theory, the authors discuss the main conceptual points, detail many practical calculations of physical quantities from first principles, and compare these quantitative predictions with experimental results, helping readers improve both their calculation skills and physical insight.
Book Synopsis Encyclopedia Of Cosmology, The (In 4 Volumes) by :
Download or read book Encyclopedia Of Cosmology, The (In 4 Volumes) written by and published by World Scientific. This book was released on 2018-03-15 with total page 1404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Cosmology, in four volumes, is a major, long-lasting, seminal reference at the graduate student level, laid out by the most prominent, respected researchers in the general field of Cosmology. These volumes will be a comprehensive review of the most important concepts and current status in the field, covering both theory and observation.One of the attractive features of the encyclopedia is that it is accompanied by supplementary materials including videos and simulations of the numerical computation. This will help the readers to better understand and visualize the concepts discussed.This encyclopedia is edited by Dr. Giovanni Fazio from Harvard Smithsonian Center for Astrophysics, with an advisory board comprised of renowned scientists: Lars Hernquist and Abraham Loeb (Harvard Smithsonian Center for Astrophysics), and Christopher McKee (UC Berkeley). Each volume is authored/edited by a specialist in the area: Galaxy Formation and Evolution written by Rennan Barkana (Tel Aviv University), Numerical Simulations in Cosmology edited by Kentaro Nagamine (Osaka University / University of Nevada), Dark Energy written by Shinji Tsujikawa (Tokyo University of Science), and Dark Matter written by Jihn E Kim (Seoul National University).
Book Synopsis Gauge Theories in Particle Physics, 40th Anniversary Edition: A Practical Introduction, Volume 2 by : Ian J R Aitchison
Download or read book Gauge Theories in Particle Physics, 40th Anniversary Edition: A Practical Introduction, Volume 2 written by Ian J R Aitchison and published by CRC Press. This book was released on 2024-06-19 with total page 1119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifth edition of this well-established, highly regarded two-volume set continues to provide a fundamental introduction to advanced particle physics while incorporating substantial new experimental results, especially in the areas of Higgs and top sector physics, as well as CP violation and neutrino oscillations. It offers an accessible and practical introduction to the three gauge theories comprising the Standard Model of particle physics: quantum electrodynamics (QED), quantum chromodynamics (QCD), and the Glashow-Salam-Weinberg (GSW) electroweak theory. Volume 2 of this updated edition covers the two non-Abelian gauge theories of QCD and the GSW theory. A distinctive feature is the extended treatment of two crucial theoretical tools: spontaneous symmetry breaking and the renormalization group. The underlying physics of these is elucidated by parallel discussions of examples from condensed matter systems: superfluidity and superconductivity, and critical phenomena. This new edition includes updates to jet algorithms, lattice field theory, CP violation and the CKM matrix, and neutrino physics. New to the fifth edition: · Tests of the Standard Model in the Higgs and top quark sectors · The naturalness problem and responses to it going beyond the Standard Model · The Standard Model as an effective field theory Each volume should serve as a valuable handbook for students and researchers in advanced particle physics looking for an accessible introduction to the Standard Model of particle physics. Ian J.R. Aitchison is Emeritus Professor of Physics at the University of Oxford. He has previously held research positions at Brookhaven National Laboratory, Saclay, and the University of Cambridge. He was a visiting professor at the University of Rochester and the University of Washington, and a scientific associate at CERN and SLAC. Dr. Aitchison has published over 90 scientific papers mainly on hadronic physics and quantum field theory. He is the author of two books and joint editor of further two. Anthony J.G. Hey is now Honorary Senior Data Scientist at the UK’s National Laboratory at Harwell. He began his career with a doctorate in particle physics from the University of Oxford. After a career in particle physics that included a professorship at the University of Southampton and research positions at Caltech, MIT and CERN, he moved to Computer Science and founded a parallel computing research group. The group were one of the pioneers of distributed memory message-passing computers and helped establish the ‘MPI’ message passing standard. After leaving Southampton in 2001 he was director of the UK’s ‘eScience’ initiative before becoming a Vice-President in Microsoft Research. He returned to the UK in 2015 as Chief Data Scientist at the U.K.’s Rutherford Appleton Laboratory. He then founded a new ‘Scientific Machine Learning’ group to apply AI technologies to the ‘Big Scientific Data’ generated by the Diamond Synchrotron, the ISIS neutron source, and the Central Laser Facility that are located on the Harwell campus. He is the author of over 100 scientific papers on physics and computing and editor of ‘The Feynman Lectures on Computation’.
Book Synopsis Gauge Theories in Particle Physics, Volume II by : I.J.R. Aitchison
Download or read book Gauge Theories in Particle Physics, Volume II written by I.J.R. Aitchison and published by CRC Press. This book was released on 2003-12-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of the third edition of a successful text, now substantially enlarged and updated to reflect developments over the last decade in the curricula of university courses and in particle physics research. Volume I covered relativistic quantum mechanics, electromagnetism as a gauge theory, and introductory quantum field theory, and ended with the formulation and application of quantum electrodynamics (QED), including renormalization. Building on these foundations, this second volume provides a complete, accessible, and self-contained introduction to the remaining two gauge theories of the standard model of particle physics: quantum chromodynamics (QCD) and the electroweak theory. The treatment significantly extends that of the second edition in several important respects. Simple ideas of group theory are now incorporated into the discussion of non-Abelian symmetries. Two new chapters have been added on QCD, one devoted to the renormalization group and scaling violations in deep inelastic scattering and the other to non-perturbative aspects of QCD using the lattice (path-integral) formulation of quantum field theory; the latter is also used to illuminate various aspects of renormalization theory, via analogies with condensed matter systems. Three chapters treat the fundamental topic of spontaneous symmetry breaking: the (Bogoliubov) superfluid and the (BCS) superconductor are studied in some detail; one chapter is devoted to the implications of global chiral symmetry breaking in QCD; and one to the breaking of local SU(2)xU(1) symmetry in the electroweak theory. Weak interaction phenomenology is extended to include discussion of discrete symmetries and of the possibility that neutrinos are Majorana (rather than Dirac) particles. Most of these topics are normally found only in more advanced texts, and this is the first book to treat them in a manner accessible to the wide readership that the previous editions have attracted.
Book Synopsis Group Theory: Finite Discrete Groups And Applications by : Ioannis John Demetrius Vergados
Download or read book Group Theory: Finite Discrete Groups And Applications written by Ioannis John Demetrius Vergados and published by World Scientific. This book was released on 2023-06-28 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the role played by symmetry in the understanding of the physical world, beginning with the notion of geometric symmetries of the ancient Greek philosophers and mathematicians. The recognition of the existence of symmetries led to the notion of transformations, which led from one state of the system to another. It was then realized that such transformations, under the operation of multiplication, constitute an interesting set, whose study led to the branch of mathematics known as Group Theory. With the emergence of quantum mechanics, this theory became much more interesting and led to some additional applications. The theory got another boost with the need for of the internal degrees of freedom in describing physical systems. This way the notion of symmetry is no longer purely geometric and evolved into a useful tool in the study of all physical sciences.For practical reasons as well as pedagogical reasons, group theory is usually split into two parts. The first deals with discrete groups, with the group elements being countable, usually finite in number, while the second deals with continuous groups, whose elements depend on continuous parameters. This volumefocuses the discussion on discrete groups. Given that group theory should be presented from a unified perspective, involving not only the mathematical rigor and beauty of symmetries, but also the ability to use it as a tool for applications, either currently popular or expected to become so in the future, this approach will surely be more beneficial to the dedicated reader. It is not intended for those who would like to just look up a formula or use the results of a table, without understanding their derivation.
Book Synopsis Symmetries, Particles and Fields by : Ben Allanach
Download or read book Symmetries, Particles and Fields written by Ben Allanach and published by . This book was released on 2021-08-05 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: A coursebook for a Master's level course at the University of Cambridge to prepare students for a Ph.D. in theoretical particle physics. Lie groups and Lie algebras are important in the construction of quantum field theories that describe interactions between known particles. One particle states are described in terms of irreducible representations of the Poincare group, a Lie group. Quantum fields may be acted on by operators of the Poincare group. Gauge theories, which describe many of the interactions in the Standard Model of particle physics, also rely on Lie groups. We assume knowledge of quantum mechanics, linear algebras, and vector spaces at the undergraduate level. We do not require knowledge of quantum field theory, although the book was designed with the assumption that some basic quantum field theory is studied simultaneously (in particular, the construction of Lagrangian densities in terms of fields); then, a few applications will make more sense. After some basic properties and preliminaries, we introduce matrix Lie groups, which rely on continuous parameters. Differentially, these act as a Lie algebra. The exponential map connects the Lie algebra to the Lie group. We then introduce representations in terms of square matrices, describing how to construct various new representations in terms of combinations of others. The group of rotations in three-dimensional space SO(3) is examined, along with SU(2) and the connection to angular momentum states in quantum theory. Representations of each are covered. The relativistic symmetries (the Lorentz group and the Poincare group in four dimensions) are studied from the point of view of their group elements and Lie algebras. Analysis of compact simple Lie algebras and their finite representations comes from mapping them to a geometrical picture involving roots and weights via the Cartan matrix. An overview of the results of the Cartan classification of simple Lie algebras is included. An application in terms of representations of a global SU(3)F flavour symmetry explains some features of the spectrum of hadronic particles. Further properties of the spectrum lead one to introduce an additional local SU(3)c colour symmetry leading to a particular gauge theory called quantum chromodynamics. We cover abelian and non-abelian gauge theories before returning to irreducible induced representations of the Poincare group, which are used to describe one-particle states.
Book Synopsis Introduction to Nuclear and Particle Physics by : Ashok Das
Download or read book Introduction to Nuclear and Particle Physics written by Ashok Das and published by World Scientific. This book was released on 2003 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation Readership: Advanced undergraduates and researchers in nuclear and particle physics.
Book Synopsis String Theory and Particle Physics by : Luis E. Ibáñez
Download or read book String Theory and Particle Physics written by Luis E. Ibáñez and published by Cambridge University Press. This book was released on 2012-02-09 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic introduction to string phenomenology, outlining how string theory is connected to the real world of particle physics.
Book Synopsis Symmetries in Particle Physics by : Itzhak Bars
Download or read book Symmetries in Particle Physics written by Itzhak Bars and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seventy Years Of Double Beta Decay: From Nuclear Physics To Beyond-standard-model Particle Physics by : Hans Volker Klapdor-kleingrothaus
Download or read book Seventy Years Of Double Beta Decay: From Nuclear Physics To Beyond-standard-model Particle Physics written by Hans Volker Klapdor-kleingrothaus and published by World Scientific. This book was released on 2010-03-25 with total page 1556 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 20 years the disciplines of particle physics, astrophysics, nuclear physics and cosmology have grown together in an unprecedented way. A brilliant example is nuclear double beta decay, an extremely rare radioactive decay mode, which is one of the most exciting and important fields of research in particle physics at present and the flagship of non-accelerator particle physics.While already discussed in the 1930s, only in the 1980s was it understood that neutrinoless double beta decay can yield information on the Majorana mass of the neutrino, which has an impact on the structure of space-time. Today, double beta decay is indispensable for solving the problem of the neutrino mass spectrum and the structure of the neutrino mass matrix. The potential of double beta decay has also been extended such that it is now one of the most promising tools for probing beyond-the-standard-model particle physics, and gives access to energy scales beyond the potential of future accelerators.This book presents the breathtaking manner in which achievements in particle physics have been made from a nuclear physics process. Consisting of a 150-page highly factual overview of the field of double beta decay and a 1200-page collection of the most important original articles, the book outlines the development of double beta decay research — theoretical and experimental — from its humble beginnings until its most recent achievements, with its revolutionary consequences for the theory of particle physics. It further presents an outlook on the exciting future of the field.
