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Group Theory For The Standard Model Of Particle Physics And Beyond

Author : Ken J. Barnes
ISBN : 9781439895207
Genre : Science
File Size : 52.25 MB
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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.
Category: Science

Neutrino Physics Second Edition

Author : Kai Zuber
ISBN : 9781420064728
Genre : Science
File Size : 53.43 MB
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When Kai Zuber’s pioneering text on neutrinos was published in 2003, the author correctly predicted that the field would see tremendous growth in the immediate future. In that book, Professor Zuber provided a comprehensive self-contained examination of neutrinos, covering their research history and theory, as well as their application to particle physics, astrophysics, nuclear physics, and the broad reach of cosmology; but now to be truly comprehensive and accurate, the field’s seminal reference needs to be revised and expanded to include the latest research, conclusions, and implications. Revised as needed to be equal to the research of today, Neutrino Physics, Second Edition delves into neutrino cross sections, mass measurements, double beta decay, solar neutrinos, neutrinos from supernovae, and high energy neutrinos, as well as new experimental results in the context of theoretical models. It also provides entirely new discussion on: Resolution of the solar neutrino problem The first real-time measurement of solar neutrinos below 1 MeV Geoneutrinos Long baseline accelerator experiments Written to be accessible to readers from diverse backgrounds, this edition, like the first, provides both an introduction to the field as well as the information needed by those looking to make their own contribution to it. And like the first edition, it whets the researcher’s appetite, going beyond certainty to pose those questions that still need answers.
Category: Science

An Introduction To Beam Physics

Author : Martin Berz
ISBN : 9780750302630
Genre : Science
File Size : 59.48 MB
Format : PDF
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The field of beam physics touches many areas of physics, engineering, and the sciences. In general terms, beams describe ensembles of particles with initial conditions similar enough to be treated together as a group so that the motion is a weakly nonlinear perturbation of a chosen reference particle. Particle beams are used in a variety of areas, ranging from electron microscopes, particle spectrometers, medical radiation facilities, powerful light sources, and astrophysics to large synchrotrons and storage rings such as the LHC at CERN. An Introduction to Beam Physics is based on lectures given at Michigan State University’s Department of Physics and Astronomy, the online VUBeam program, the U.S. Particle Accelerator School, the CERN Academic Training Programme, and various other venues. It is accessible to beginning graduate and upper-division undergraduate students in physics, mathematics, and engineering. The book begins with a historical overview of methods for generating and accelerating beams, highlighting important advances through the eyes of their developers using their original drawings. The book then presents concepts of linear beam optics, transfer matrices, the general equations of motion, and the main techniques used for single- and multi-pass systems. Some advanced nonlinear topics, including the computation of aberrations and a study of resonances, round out the presentation.
Category: Science

Modern Cosmology

Author : S Bonometto
ISBN : 9781420033908
Genre : Science
File Size : 22.42 MB
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Cosmology is a relatively new science, but cosmological questions are as old as mankind. Turning philosophical and metaphysical problems into problems that physics can treat, and hopefully solve, has been an achievement of the twentieth century. Modern Cosmology brings together contributions from a number of outstanding scientists currently working in various research fields in cosmology. Topics covered range over several different aspects of modern cosmology, from observational matters to advanced theoretical speculations.
Category: Science

The Standard Model And Beyond

Author : P. Langacker
ISBN : UCSD:31822037437894
Genre : Science
File Size : 73.81 MB
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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. 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, before explaining the structure and tests of quantum chromodynamics. The book also describes the electroweak interactions and theory, including neutrino masses. 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.
Category: Science

Geometry Of The Fundamental Interactions

Author : M. D. Maia
ISBN : 1441982736
Genre : Science
File Size : 31.69 MB
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The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the gauge field strength as the curvature associated to a given connection, places quantum field theory in the same geometrical footing as the gravitational field of general relativity which is naturally written in geometrical terms. The understanding of such geometrical property may help one day to write a unified field theory starting from symmetry principles. Of course, there are remarkable differences between the standard gauge fields and the gravitational field, which must be understood by mathematicians and physicists before attempting such unification. In particular, it is important to understand why gravitation is not a standard gauge field. This book presents an account of the geometrical properties of gauge field theory, while trying to keep the equilibrium between mathematics and physics. At the end we will introduce a similar approach to the gravitational field.
Category: Science

Cosmology And Particle Astrophysics

Author : Lars Bergström
ISBN : 0471970425
Genre : Science
File Size : 78.11 MB
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In recent years, there has been an increasing realisation that there are important areas of 'common ground' between modern particle physics and high-energy astrophysics. This book provides a much needed, readable yet comprehensive overview of particle physics, and emphasises the close links between particle physics and cosmology. Beginning with some basic facts about the observable universe, the authors consider, in successive chapters, special and general relativity, gravitational lenses, cosmological models, particles and fields, thermodynamics and phase transitions in the early universe. The cosmic microwave background, structure formation and dark matter, the inflationary universe, gamma rays, cosmic rays, neutrinos and gravitational wave detectors are then discussed. Recent discoveries, such as neutrino mass and oscillations, and measurements of the universe using supernovae, are treated in a pedagogical and non-technical manner. A feature of this book is that it is 'self-contained, in that no specialised knowledge is required on the part of the reader except basic undergraduate mathematics and physics. In addition to the more descriptive sections where the reader is able to get the 'flavour' of the subject without needing to follow every step involved, some chapters contain optional, more technical parts which may be skipped by less advanced readers. By combining the expertise of both a leading experimentalist and foremost theorist, this book includes important aspects of both observational cosmology as well as more theoretical concepts. Readership: Undergraduate and postgraduate students of astronomy, astrophysics, cosmology, particle physics, theoretical physics and mathematical physics, and those carrying out research in these fields. Lars Bergstrm is Associate Professor in the Department of Physics at Stockholm University. He has authored or co-authored over 100 technical articles and scientific papers on physics in general and particle physics in particular. Ariel Goobar is Postdoctoral Research Fellow in Experimental Particle Astrophysics at FYSIKUM, Stockholm University, Sweden. As active researchers in the subjects of high-energy neutrino astrophysics and cosmology, both authors are internationally respected authorities in the field of particle astrophysics.
Category: Science

Relativity Gravitation And Cosmology

Author : Ta-Pei Cheng
ISBN : 0198529570
Genre : Science
File Size : 30.34 MB
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An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus.
Category: Science

Dark Matter And Dark Energy

Author : Sabino Matarrese
ISBN : 9048186854
Genre : Science
File Size : 67.49 MB
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This book brings together reviews from leading international authorities on the developments in the study of dark matter and dark energy, as seen from both their cosmological and particle physics side. Studying the physical and astrophysical properties of the dark components of our Universe is a crucial step towards the ultimate goal of unveiling their nature. The work developed from a doctoral school sponsored by the Italian Society of General Relativity and Gravitation. The book starts with a concise introduction to the standard cosmological model, as well as with a presentation of the theory of linear perturbations around a homogeneous and isotropic background. It covers the particle physics and cosmological aspects of dark matter and (dynamical) dark energy, including a discussion of how modified theories of gravity could provide a possible candidate for dark energy. A detailed presentation is also given of the possible ways of testing the theory in terms of cosmic microwave background, galaxy redshift surveys and weak gravitational lensing observations. Included is a chapter reviewing extensively the direct and indirect methods of detection of the hypothetical dark matter particles. Also included is a self-contained introduction to the techniques and most important results of numerical (e.g. N-body) simulations in cosmology. " This volume will be useful to researchers, PhD and graduate students in Astrophysics, Cosmology Physics and Mathematics, who are interested in cosmology, dark matter and dark energy.
Category: Science

Particle Physics And Cosmology The Interface

Author : Dmitri Kazakov
ISBN : 9781402031601
Genre : Science
File Size : 58.95 MB
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The school introduces the experimental and theoretical particle physics background underlying several aspects of cosmology: matter anti-matter asymmetry, dark matter, the acceleration of the expansion, the 3K Cosmological Background Radiation, the geometry of the universe. The theoretical lectures offer reviews by experts on topics which include the limits of the standard model, a description of the neutrino mass, supersymmetry, leptogenesis/baryogenesis, scalar fields, and extra-dimensions. The status experimental observations in particle physics and astrophysics (CP violation, neutrino oscillations, dark matter, 3K radiation) is also covered.
Category: Science