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Modern Differential Geometry In Gauge Theories


Modern Differential Geometry In Gauge Theories
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Modern Differential Geometry In Gauge Theories


Modern Differential Geometry In Gauge Theories
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Author : Anastasios Mallios
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-14

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 2005-12-14 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



Modern Differential Geometry In Gauge Theories


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



Differential Geometry Gauge Theories And Gravity


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.



Modern Differential Geometry In Gauge Theories


Modern Differential Geometry In Gauge Theories
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Author : Anastasios Mallios
language : en
Publisher:
Release Date : 2006

Modern Differential Geometry In Gauge Theories 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 categories.




Modern Differential Geometry In Gauge Theories Set


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.




Mathematical Gauge Theory


Mathematical Gauge Theory
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Author : Mark J.D. Hamilton
language : en
Publisher: Springer
Release Date : 2017-12-06

Mathematical Gauge Theory written by Mark J.D. Hamilton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-06 with Mathematics categories.


The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The second part then gives a detailed exposition of how these concepts are applied in physics, concerning topics such as the Lagrangians of gauge and matter fields, spontaneous symmetry breaking, the Higgs boson and mass generation of gauge bosons and fermions. The book also contains a chapter on advanced and modern topics in particle physics, such as neutrino masses, CP violation and Grand Unification. This carefully written textbook is aimed at graduate students of mathematics and physics. It contains numerous examples and more than 150 exercises, making it suitable for self-study and use alongside lecture courses. Only a basic knowledge of differentiable manifolds and special relativity is required, summarized in the appendix.



Modern Differential Geometry In Gauge Theories Yang Mills Fields


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.



Gauge Theory And Variational Principles


Gauge Theory And Variational Principles
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Author : David Bleecker
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1981

Gauge Theory And Variational Principles written by David Bleecker and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.


Detailed and self-contained, this text supplements its rigor with intuitive ideas and is geared toward beginning graduate students and advanced undergraduates. Topics include principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac electron fields; calculus on frame bundle; and unification of gauge fields and gravitation. 1981 edition



Modern Differential Geometry In Gauge Theories Maxwell Fields


Modern Differential Geometry In Gauge Theories Maxwell Fields
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Author : Anastasios Mallios
language : en
Publisher:
Release Date : 2006

Modern Differential Geometry In Gauge Theories Maxwell 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.



Differential Geometry And Mathematical Physics


Differential Geometry And Mathematical Physics
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Author : Gerd Rudolph
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-09

Differential Geometry And Mathematical Physics written by Gerd Rudolph 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 2012-11-09 with Science categories.


Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.