Theory Of K Loops
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Theory Of K Loops
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Author : Hubert Kiechle
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-03-25
Theory Of K Loops written by Hubert Kiechle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-03-25 with Mathematics categories.
The book contains the first systematic exposition of the current known theory of K-loops, as well as some new material. In particular, big classes of examples are constructed. The theory for sharply 2-transitive groups is generalized to the theory of Frobenius groups with many involutions. A detailed discussion of the relativistic velocity addition based on the author's construction of K-loops from classical groups is also included. The first chapters of the book can be used as a text, the later chapters are research notes, and only partially suitable for the classroom. The style is concise, but complete proofs are given. The prerequisites are a basic knowledge of algebra such as groups, fields, and vector spaces with forms.
Loops Knots Gauge Theories
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Author : Rodolfo Gambini
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-16
Loops Knots Gauge Theories written by Rodolfo Gambini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-16 with Science categories.
This volume provides a self-contained introduction to applications of loop representations in particle physics and quantum gravity, in order to explore the gauge invariant quantization of Yang-Mills theories and gravity. First published in 1996, this title has been reissued as an Open Access publication on Cambridge Core.
Superstring Theory Volume 2 Loop Amplitudes Anomalies And Phenomenology
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Author : Michael B. Green
language : en
Publisher: Cambridge University Press
Release Date : 1988-07-29
Superstring Theory Volume 2 Loop Amplitudes Anomalies And Phenomenology written by Michael B. Green and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-07-29 with Science categories.
A two-volume systematic exposition of superstring theory and its applications which presents many of the new mathematical tools that theoretical physicists are likely to need in coming years. This volume contains an introduction to superstrings
Origin Of Mass And Strong Coupling Gauge Theories The Scgt06 Proceedings Of The 2006 International Workshop
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Author : Koichi Yamawaki
language : en
Publisher: World Scientific
Release Date : 2008-01-09
Origin Of Mass And Strong Coupling Gauge Theories The Scgt06 Proceedings Of The 2006 International Workshop written by Koichi Yamawaki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-09 with Science categories.
This volume includes discussion on new dynamical features in the light of (deconstruted/latticized) extra dimensions, holographic QCD, Moose/hidden local symmetry, and so on. New insights into the QCD as a prototype of strong coupling gauge theories as well as in its own right, particularly in hot and dense matter are included.
Lecture Notes On Topological Quantum Field Theories And Geometry Of Loop Spaces
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Author : Laszlo Feher
language : en
Publisher: World Scientific
Release Date : 1992-10-09
Lecture Notes On Topological Quantum Field Theories And Geometry Of Loop Spaces written by Laszlo Feher and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-09 with categories.
These lectures introduce some very popular fields in topology. The topics discussed are interrelated with modern physics and include works of four leading researchers: M Atiyah, R Bott, J Jones and G Segal. The original lectures presented at the conference at Budapest are enlarged with appendices to make these notes self-contained.
Energy Research Abstracts
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Author :
language : en
Publisher:
Release Date : 1987
Energy Research Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Power resources categories.
Scattering Amplitudes In Gauge Theory And Gravity
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Author : Henriette Elvang
language : en
Publisher: Cambridge University Press
Release Date : 2015-02-05
Scattering Amplitudes In Gauge Theory And Gravity written by Henriette Elvang and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-05 with Science categories.
This book provides a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity for graduate students.
60 Years Of Yang Mills Gauge Field Theories C N Yang S Contributions To Physics
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Author : Lars Brink
language : en
Publisher: World Scientific
Release Date : 2016-04-21
60 Years Of Yang Mills Gauge Field Theories C N Yang S Contributions To Physics written by Lars Brink and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-21 with Science categories.
During the last six decades, Yang-Mills theory has increasingly become the cornerstone of theoretical physics. It is seemingly the only fully consistent relativistic quantum many-body theory in four space-time dimensions. As such it is the underlying theoretical framework for the Standard Model of Particle Physics, which has been shown to be the correct theory at the energies we now can measure. It has been investigated also from many other perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics.The conference celebrated the exceptional achievements using Yang-Mills theory over the years but also many other truly remarkable contributions to different branches of physics from Prof C N Yang. This volume collects the invaluable talks by Prof C N Yang and the invited speakers reviewing these remarkable contributions and their importance for the future of physics.
Critical Properties Of Phi4 Theories
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Author : Hagen Kleinert
language : en
Publisher: World Scientific
Release Date : 2001-07-30
Critical Properties Of Phi4 Theories written by Hagen Kleinert and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-30 with Science categories.
This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-ε dimensions, where they possess pole terms in 1/ε. The pole terms are collected into renormalization constants.The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Padé and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent α governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book).The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-ε dimensions, and improved ratio tests in high-temperature expansions of lattice models.
The Theory Of Models
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Author : J.W. Addison
language : en
Publisher: Elsevier
Release Date : 2014-05-27
The Theory Of Models written by J.W. Addison and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-27 with Mathematics categories.
Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.