Covariance And Gauge Invariance In Continuum Physics
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Covariance And Gauge Invariance In Continuum Physics
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Author : Lalaonirina R. Rakotomanana
language : en
Publisher: Springer
Release Date : 2018-07-04
Covariance And Gauge Invariance In Continuum Physics written by Lalaonirina R. Rakotomanana and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-04 with Science categories.
This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation. It investigates two aspects of invariance of the Lagrangian: covariance of formulation following the method of Lovelock and Rund, and gauge invariance where the active diffeomorphism invariance is considered by using local Poincaré gauge theory according to the Utiyama method. Further, it develops various extensions of strain gradient continuum elasticity, relativistic gravitation and electromagnetism when the torsion field of the Riemann-Cartan continuum is not equal to zero. Lastly, it derives heterogeneous wave propagation equations within twisted and curved manifolds and proposes a relation between electromagnetic potential and torsion tensor.
Covariant Operator Formalism Of Gauge Theories And Quantum Gravity
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Author : Nakanishi Noboru
language : en
Publisher: World Scientific Publishing Company
Release Date : 1990-11-27
Covariant Operator Formalism Of Gauge Theories And Quantum Gravity written by Nakanishi Noboru and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-11-27 with Science categories.
This book provides a thorough description of the manifestly covariant canonical formalism of the abelian and non-abelian gauge theories and quantum gravity. The emphasis is on its non-perturbative nature and the non-use of the path-integral approach. The formalism presented here is extremely beautiful and transparent.
Gauge Field Theories Spin One And Spin Two
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Author : Gunter Scharf
language : en
Publisher: Courier Dover Publications
Release Date : 2016-07-20
Gauge Field Theories Spin One And Spin Two written by Gunter Scharf and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-20 with Science categories.
One of the main problems of theoretical physics concerns the unification of gravity with quantum theory. This monograph examines unification by means of the appropriate formulation of quantum gauge invariance. Suitable for advanced undergraduates and graduate students of physics, the treatment requires a basic knowledge of quantum mechanics. Opening chapters introduce the free quantum fields and prepare the field for the gauge structure, describing the inductive construction of the time-ordered products by causal perturbation theory. The analysis of causal gauge invariance follows, with considerations of massless and massive spin-1 gauge fields. Succeeding chapters explore the construction of spin-2 gauge theories, concluding with an examination of nongeometric general relativity that offers an innovate approach to gravity and cosmology.
Lattice Gauge Theories
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Author : Heinz J Rothe
language : en
Publisher: World Scientific Publishing Company
Release Date : 1997-06-09
Lattice Gauge Theories written by Heinz J Rothe and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-09 with categories.
This book introduces the reader to an area of elementary particle physics which has been the subject of intensive research in the past two decades. It provides graduate students with the basic theoretical background on quantum gauge field theories formulated on a space-time lattice, and with the computational tools for carrying out research in this field. The book is a substantially extended version of the first edition which appeared in 1992. Much effort has been invested to present the material in a transparent way, and in exemplifying subtle points in simple models. The material covered should enable the reader to follow the vast literature on the subject without too much difficulties. Hopefully the book will motivate young physicists to carry out research in this area of elementary particle physics. Request Inspection Copy
Nonlinear Continuum Mechanics
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Author : Donald Charles Leigh
language : en
Publisher:
Release Date : 1968
Nonlinear Continuum Mechanics written by Donald Charles Leigh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Science categories.
Lattice Gauge Theories
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Author : G. Domokos
language : en
Publisher: World Scientific Publishing Company
Release Date : 1983
Lattice Gauge Theories written by G. Domokos and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Bonn, Germany categories.
Fundamental Problems Of Gauge Field Theory
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Author : G. Velo
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Fundamental Problems Of Gauge Field Theory written by G. Velo 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 2013-11-11 with Mathematics categories.
The sixth Ettore Majorana International School of Mathematical Physics was held at the Centro della Cultura Scientifica Erice, Sicily, 1-14 July 1985. The present volume collects lecture notes on the ses sion which was devoted to Fundamental Problems of Gauge Field Theory. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Research and the Regional Sicilian Government. As a result of the experimental and theoretical developments of the last two decades, gauge field theory, in one form or another, now pro vides the standard language for the description of Nature; QCD and the standard model of the electroweak interactions illustrate this point. It is a basic task of mathematical physics to provide a solid foundation for these developments by putting the theory in a physically transparent and mathematically rigorous form. The lectures and seminars of the school concentrated on the many unsolved problems which arise here, and on the general ideas and methods which have been proposed for their solution. In particular, we mention the use of rigorous renormalization group methods to obtain control over the continuum limit of lattice gauge field theories, the explora tion of the extraordinary enigmatic connections between Kac-Moody Virasoro algebras and string theory, and the systematic use of the theory of local algebras and indefinite metric spaces to classify the charged C* states in gauge field theories.
Gauge Invariance
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Author : Ta-Pei Cheng
language : en
Publisher:
Release Date : 1990
Gauge Invariance written by Ta-Pei Cheng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
A collection of reprinted articles discussing gauge theories & their applications to particle physics.
Parton Densities In Quantum Chromodynamics
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Author : Igor Olegovich Cherednikov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-11-21
Parton Densities In Quantum Chromodynamics written by Igor Olegovich Cherednikov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-21 with Science categories.
The purpose of this book is to give a systematic pedagogical exposition of the quantitative analysis of Wilson lines and gauge-invariant correlation functions in quantum chromodynamics. Using techniques from the previous volume (Wilson Lines in Quantum Field Theory, 2014), an ab initio methodology is developed and practical tools for its implementation are presented. Emphasis is put on the implications of gauge invariance and path-dependence properties of transverse-momentum dependent parton density functions. The latter are associated with the QCD factorization approach to semi-inclusive hadronic processes, studied at currently operating and planned experimental facilities. Contents: Introduction Particle Number Operators in Quantum Mechanics and in Quantum Field Theory Geometry of Quantum Field Theories Basics of Wilson Lines in QCD Gauge-Invariant Parton Densities Simplifying Wilson Line Calculations Brief Literature Guide Conventions and Reference Formulae Integrations Bibliography Index
Continuum Physics
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Author : A. Cemal Eringen
language : en
Publisher:
Release Date : 1971
Continuum Physics written by A. Cemal Eringen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Science categories.