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Modern Differential Geometry in Gauge Theories

2006-07-27 Mathematics
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Release : 2006-07-27
Genre : Mathematics
Kind : eBook
Book Rating : 741/5 ( reviews)

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Book Synopsis Modern Differential Geometry in Gauge Theories by : Anastasios Mallios

Download or read book Modern Differential Geometry in Gauge Theories written by Anastasios Mallios. This book was released on 2006-07-27. Available in PDF, EPUB and Kindle. Book excerpt: 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

1989-07-28 Mathematics
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Release : 1989-07-28
Genre : Mathematics
Kind : eBook
Book Rating : 215/5 ( reviews)

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Book Synopsis Differential Geometry, Gauge Theories, and Gravity by : M. Göckeler

Download or read book Differential Geometry, Gauge Theories, and Gravity written by M. Göckeler. This book was released on 1989-07-28. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Gauge Theories and Differential Geometry

2016 Gauge fields (Physics)
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Release : 2016
Genre : Gauge fields (Physics)
Kind : eBook
Book Rating : 466/5 ( reviews)

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Book Synopsis Gauge Theories and Differential Geometry by : Lance Bailey

Download or read book Gauge Theories and Differential Geometry written by Lance Bailey. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Gauge Field Theory and Complex Geometry

1997-05-20 Mathematics
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Release : 1997-05-20
Genre : Mathematics
Kind : eBook
Book Rating : 787/5 ( reviews)

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Book Synopsis Gauge Field Theory and Complex Geometry by : Yuri I. Manin

Download or read book Gauge Field Theory and Complex Geometry written by Yuri I. Manin. This book was released on 1997-05-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Gauge Theory

2017-12-06 Mathematics
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Release : 2017-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 396/5 ( reviews)

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Book Synopsis Mathematical Gauge Theory by : Mark J.D. Hamilton

Download or read book Mathematical Gauge Theory written by Mark J.D. Hamilton. This book was released on 2017-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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