Download or read book Symmetries and Group Theory in Particle Physics written by Giovanni Costa and published by Springer. This book was released on 2012-02-03 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.

Download or read book Particle Symmetries written by Max Chrétien and published by CRC Press. This book was released on 1966 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

Download or read book Symmetry and the Standard Model written by Matthew Robinson and published by Springer Science & Business Media. This book was released on 2011-08-17 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Recent Developments in Particle Symmetries written by A Zichichi and published by Academic Press. This book was released on 2013-10-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Developments in Particle Symmetries focuses on the advancements of processes, technologies, reactions, transformations, and approaches in particle symmetries. The selection first offers information on higher symmetries and deviations from unitary symmetry, including S matrix and perturbation theory and bootstrap theory of octet enhancement. The text then ponders on broken symmetries and sum rules and difficulties of relativistic U(6). Discussions focus on covariant models, unitary, Coleman's theorems, saturation of commutation relations and particle multiplets, and exact internal symmetry. The manuscript elaborates on CP violation, K decay and CP violation, and proton-antiproton annihilations at rest. The text then takes a look at the value of internal symmetries, low-energy hyperon-proton interactions, and strange resonances. Discussions focus on mesonic and baryonic resonances, hierarchy of internal symmetries, well-ordered violation of internal symmetries, and the combination of internal and geometrical symmetries in the physics of elementary particles. The selection is a valuable source of information for readers wanting to study particle symmetries.

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 288 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.

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.

Download or read book Symmetries in Fundamental Physics written by Kurt Sundermeyer and published by Springer. This book was released on 2014-07-23 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the "laws of nature" are invariant under spacetime transformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognition for nearly half a century, but can today be understood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, as shown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner "... if we knew all the laws of nature, or the ultimate Law of nature, the invariance properties of these laws would not furnish us new information." Thanks to Wigner we now also understand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic properties of particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries in this monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity.

Download or read book Physics from Symmetry written by Jakob Schwichtenberg and published by Springer. This book was released on 2017-12-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

Download or read book Particle Symmetries and Axiomatic Field Theory Particle symmetries written by Max Chrétien and published by . This book was released on 1966 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Symmetries in Quantum Physics written by U. Fano and published by Elsevier. This book was released on 1996-06-17 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the physics of symmetries, developing symmetries and transformations through concrete physical examples and contexts rather than presenting the information axiomatically, mathematically, and abstractly. Readers are introduced gradually to advanced mathematical procedures, including the Wigner and Racah algebras and their applications to various symmetry groups. The book also includes some of the latest research on the use of non-invariance and non-compact groups in the consideration of relativistic and many-particle problems of atoms and nuclei.This book is an updated replacement for the text Irreducible Tensorial Sets (Academic Press, 1959). Parts A and B of the present book grew out of occasional lectures in the intervening decades at the University of Chicago, where it became neccessary to update or elaborate upon certain points. Part C has been built more recently to deal with innovations and new information in the field of mathematical physics. The book as a whole develops the subject of symmetry from a physical point of view, allowing students and researchers to gain new insight on their subject. This book can be used both as a text and as a reference by students and scientists in the field.Adapts and extends the earlier Irreducible Tensor Sets (Academic Press, 1959) to classroom useExtends to multi-particle systems and relativityIncludes problems in each chapter for homework assignmentsEmbraces the latest research on non-invariance groups

Download or read book The Origin of Mass written by John Iliopoulos and published by Oxford University Press. This book was released on 2017 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of a new elementary particle at the Large Hadron Collider at CERN in 2012 made headlines in world media. Since we already know of a large number of elementary particles, why did this latest discovery generate so much excitement? This small book reveals that this particle provides the key to understanding one of the most extraordinary phenomena which occurred in the early Universe. It introduces the mechanism that made possible, within tiny fractions of a second after the Big Bang, the generation of massive particles. The Origin of Mass is a guided tour of cosmic evolution, from the Big Bang to the elementary particles we study in our accelerators today. The guiding principle of this book is a concept of symmetry which, in a profound and fascinating way, seems to determine the structure of the Universe.

Download or read book Particle Symmetries and Axiomatic Field Theory Axiomatic field theory written by Max Chrétien and published by Routledge. This book was released on 1966 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past decade unions and community groups have come together around a wide range of campaigns for economic justice - from fighting for living wages, to electing progressive champions, to questioning market-oriented economic development, to promoting anti-sprawl/smart growth efforts. Partnering for Change brings together activists and intellectuals on the forefront of these organizing efforts. They discuss general patterns of labor-community coalitions in terms of alliances between unions and such community players as environmentalists, religious groups, low-income organizations, and local employers. The contributors also offer a wealth of case studies such as the successful campaign for corporate subsidy accountability in Minnesota, Vermont's Livable Wage Campaign, The Wisconsin Regional Training Partnership, and the model regional power building projects of the South Bay AFL-CIO. The volume's editor, David Reynolds, combines a broad overview of labor-community coalitions, practical examples applicable to diverse communities, and an appreciation of the challenges as well as the opportunities for building the movement for economic change.

Download or read book Symmetry and the Beautiful Universe written by Leon M. Lederman and published by Prometheus Books. This book was released on 2011-11-29 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: When scientists peer through a telescope at the distant stars in outer space or use a particle-accelerator to analyze the smallest components of matter, they discover that the same laws of physics govern the whole universe at all times and all places. Physicists call the eternal, ubiquitous constancy of the laws of physics symmetry. Symmetry is the basic underlying principle that defines the laws of nature and hence controls the universe. This all-important insight is one of the great conceptual breakthroughs in modern physics and is the basis of contemporary efforts to discover a grand unified theory to explain all the laws of physics. Nobel Laureate Leon M. Lederman and physicist Christopher T. Hill explain the supremely elegant concept of symmetry and all its profound ramifications to life on Earth and the universe at large in this eloquent, accessible popular science book. They not only clearly describe concepts normally reserved only for physicists and mathematicians, but they also instill an appreciation for the profound beauty of the universe’s inherent design. Central to the story of symmetry is an obscure, unpretentious, but extremely gifted German mathematician named Emmy Noether. Though still little known to the world, she impressed no less a scientist than Albert Einstein, who praised her "penetrating mathematical thinking." In some of her earliest work she proved that the law of the conservation of energy was connected to the idea of symmetry and thus laid the mathematical groundwork for what may be the most important concept of modern physics. Lederman and Hill reveal concepts about the universe, based on Noether’s work, that are largely unknown to the public and have wide-reaching implications in connection with the Big Bang, Einstein’s theory of relativity, quantum mechanics, and many other areas of physics. Through ingenious analogies and illustrations, they bring these astounding notions to life. This book will open your eyes to a universe you never knew existed.

Download or read book Gauge Symmetries and Fibre Bundles written by A. P. Balachandran and published by . This book was released on 2014-01-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1972-10 with total page 1540 pages. Available in PDF, EPUB and Kindle. Book excerpt: