Gauge Theories And Differential Geometry
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Gauge Theories And Differential Geometry
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Author : Lance Bailey
language : en
Publisher: Nova Science Publishers
Release Date : 2016
Gauge Theories And Differential Geometry written by Lance Bailey and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Gauge fields (Physics) categories.
This book revisits the mathematical foundations of thermodynamics and gauge theory by using new differential geometric methods coming from the formal theory of systems of partial differential equations and Lie pseudogroups. The gauge theory of gravity is also established, in which spinorial and ventorial matter fields serve as gravitating sources. The potential applications of the present gauge theory of gravity, including quantum-vacuum-energy gravity, cosmological constant problem and gravity-gauge unification is also addressed. The third chapter focuses on a gravitational gauge theory with spin connection and vierbein as fundamental variables of gravity. Next, the place and physical significance of Poincaré gauge theory of gravity (PGTG) in the framework of gauge approach to gravitation is discussed. A cutoff regularization method in gauge theory is discussed in Chapter Five. The remaining chapters in the book focus on differential geometry, in particular, the authors show how fractional differential derived from fractional difference provides a basis to expand a theory of fractional differential geometry which would apply to non-differentiable manifolds; a review of the infinitesimal Baker-Campbell-Hausdorff formula is provided and the book concludes with a short communication where the authors focus on local stability, and describe how this leads naturally into the question of finite-time singularities and generalized soliton solutions.
Modern Differential Geometry In Gauge Theories
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Author : Anastasios Mallios
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-22
Modern Differential Geometry In Gauge Theories written by Anastasios Mallios 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 2009-10-22 with Mathematics categories.
Original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Modern Differential Geometry In Gauge Theories
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Author : Anastasios Mallios
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-27
Modern Differential Geometry In Gauge Theories written by Anastasios Mallios 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 2006-07-27 with Mathematics categories.
This is original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Differential Geometry Gauge Theories And Gravity
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Author : M. Göckeler
language : en
Publisher: Cambridge University Press
Release Date : 1989-07-28
Differential Geometry Gauge Theories And Gravity written by M. Göckeler 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 1989-07-28 with Mathematics categories.
Cambridge University Press is committed to keeping scholarly work in print for as long as possible. A short print-run of this academic paperback has been produced using digital technology. This technology has enabled Cambridge to keep the book in print for specialists and students when traditional methods of reprinting would not have been feasible. While the new digital cover differs from the original, the text content is identical to that of previous printings.
Differential Geometry And Mathematical Physics
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Author : Gerd Rudolph
language : en
Publisher: Springer
Release Date : 2017-03-22
Differential Geometry And Mathematical Physics written by Gerd Rudolph and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-22 with Science categories.
The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:- Geometry and topology of fibre bundles,- Clifford algebras, spin structures and Dirac operators,- Gauge theory.Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory.The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces.Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of various models with matter fields (including magnetic monopoles, the Seiberg-Witten model and dimensional reduction) and the investigation of the structure of the gauge orbit space. The final chapter is devoted to elements of quantum gauge theory including the discussion of the Gribov problem, anomalies and the implementation of the non-generic gauge orbit strata in the framework of Hamiltonian lattice gauge theory.The book is addressed both to physicists and mathematicians. It is intended to be accessible to students starting from a graduate level.
Modern Differential Geometry In Gauge Theories Set
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Author : Anastasios Mallios
language : en
Publisher: Birkhäuser
Release Date : 2007-08-15
Modern Differential Geometry In Gauge Theories Set written by Anastasios Mallios and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-15 with Mathematics categories.
Gauge Field Theory And Complex Geometry
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Author : Yuri I. Manin
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-05-20
Gauge Field Theory And Complex Geometry written by Yuri I. Manin 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 1997-05-20 with Mathematics categories.
From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov.
Modern Differential Geometry In Gauge Theories
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Author : Anastasios Mallios
language : en
Publisher: Birkhäuser
Release Date : 2008-11-01
Modern Differential Geometry In Gauge Theories written by Anastasios Mallios and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 with Mathematics categories.
This is original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Geometric Techniques In Gauge Theories
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Author : R. Martini
language : en
Publisher: Springer
Release Date : 2006-11-14
Geometric Techniques In Gauge Theories written by R. Martini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Modern Differential Geometry In Gauge Theories Yang Mills Fields
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Author : Anastasios Mallios
language : en
Publisher:
Release Date : 2006
Modern Differential Geometry In Gauge Theories Yang Mills Fields written by Anastasios Mallios and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Gauge fields (Physics) categories.
Presenting a modern differential geometry approach to physical theories, such as the Gauge theory, Sheaf theory (geometry) and sheaf cohomology (analysis) are used to explain the machinery of classical differential geometry. There is also discussion of the applications of differential geometry to physical theories.