Differential Geometry Gauge Theories And Gravity PDF Download
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Author | : M. Göckeler |
Publisher | : Cambridge University Press |
Total Pages | : 248 |
Release | : 1989-07-28 |
Genre | : Mathematics |
ISBN | : 9780521378215 |
Download Differential Geometry, Gauge Theories, and Gravity Book in PDF, ePub and Kindle
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.
Author | : Anastasios Mallios |
Publisher | : Springer Science & Business Media |
Total Pages | : 303 |
Release | : 2006-07-27 |
Genre | : Mathematics |
ISBN | : 0817644741 |
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
Author | : Lance Bailey |
Publisher | : Nova Science Publishers |
Total Pages | : 0 |
Release | : 2016 |
Genre | : Gauge fields (Physics) |
ISBN | : 9781634835466 |
Download Gauge Theories and Differential Geometry Book in PDF, ePub and Kindle
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.
Author | : David Bleecker |
Publisher | : Courier Corporation |
Total Pages | : 202 |
Release | : 2013-01-18 |
Genre | : Science |
ISBN | : 0486151875 |
Download Gauge Theory and Variational Principles Book in PDF, ePub and Kindle
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.
Author | : Mark J.D. Hamilton |
Publisher | : Springer |
Total Pages | : 667 |
Release | : 2017-12-06 |
Genre | : Mathematics |
ISBN | : 3319684396 |
Download Mathematical Gauge Theory Book in PDF, ePub and Kindle
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.
Author | : Rodolfo Gambini |
Publisher | : Cambridge University Press |
Total Pages | : 341 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 1009290193 |
Download Loops, Knots, Gauge Theories Book in PDF, ePub and Kindle
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.
Author | : M. Gockeler |
Publisher | : |
Total Pages | : 230 |
Release | : 1987 |
Genre | : Gauge fields (Physics) |
ISBN | : 9780512378217 |
Download Differential Geometry, Gauge Theories and Gravity Book in PDF, ePub and Kindle
Author | : Gerd Rudolph |
Publisher | : Springer Science & Business Media |
Total Pages | : 766 |
Release | : 2012-11-09 |
Genre | : Science |
ISBN | : 9400753454 |
Download Differential Geometry and Mathematical Physics Book in PDF, ePub and Kindle
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.
Author | : Martin Ammon |
Publisher | : Cambridge University Press |
Total Pages | : 549 |
Release | : 2015-04-09 |
Genre | : Juvenile Nonfiction |
ISBN | : 1107010349 |
Download Gauge/Gravity Duality Book in PDF, ePub and Kindle
The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.
Author | : Mikio Nakahara |
Publisher | : Taylor & Francis |
Total Pages | : 596 |
Release | : 2018-10-03 |
Genre | : Mathematics |
ISBN | : 1420056948 |
Download Geometry, Topology and Physics Book in PDF, ePub and Kindle
Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.