Differential Geometry Gauge Theories And Gravity
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Differential Geometry Gauge Theories and Gravity
Author | : M. Göckeler,T. Schücker |
Publsiher | : Cambridge University Press |
Total Pages | : 248 |
Release | : 1989-07-28 |
Genre | : Mathematics |
ISBN | : 0521378214 |
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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
Author | : Anastasios Mallios |
Publsiher | : Springer Science & Business Media |
Total Pages | : 293 |
Release | : 2006-07-27 |
Genre | : Mathematics |
ISBN | : 9780817644741 |
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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. Gockeler,T. Schucker |
Publsiher | : Unknown |
Total Pages | : 230 |
Release | : 1987 |
Genre | : Gauge fields (Physics) |
ISBN | : 0512378215 |
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Gauge Theories and Differential Geometry
Author | : Lance Bailey |
Publsiher | : Nova Science Publishers |
Total Pages | : 0 |
Release | : 2016 |
Genre | : Gauge fields (Physics) |
ISBN | : 1634835468 |
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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.
Loops Knots Gauge Theories
Author | : Rodolfo Gambini,Jorge Pullin |
Publsiher | : Cambridge University Press |
Total Pages | : 341 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 9781009290197 |
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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.
Modern Differential Geometry in Gauge Theories
Author | : Anastasios Mallios |
Publsiher | : Springer Science & Business Media |
Total Pages | : 244 |
Release | : 2009-10-22 |
Genre | : Mathematics |
ISBN | : 9780817646349 |
Download Modern Differential Geometry in Gauge Theories Book in PDF, Epub and Kindle
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
Gauge Theory and Variational Principles
Author | : David Bleecker |
Publsiher | : Courier Corporation |
Total Pages | : 253 |
Release | : 2013-01-18 |
Genre | : Science |
ISBN | : 9780486151878 |
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This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas. Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.
Modern Differential Geometry in Gauge Theories
Author | : Anastasios Mallios |
Publsiher | : Birkhäuser |
Total Pages | : 293 |
Release | : 2008-11-01 |
Genre | : Mathematics |
ISBN | : 0817670904 |
Download Modern Differential Geometry in Gauge Theories Book in PDF, Epub and Kindle
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