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Author : A.P. Balachandran
Publisher : Springer
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (43 download)
Download or read book Gauge Symmetries and Fibre Bundles written by A.P. Balachandran and published by Springer. This book was released on 1983-09 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David J. Eck
Publisher : American Mathematical Soc.
ISBN 13 : 0821822470
Total Pages : 57 pages
Book Rating : 4.8/5 (218 download)
Download or read book Gauge-Natural Bundles and Generalized Gauge Theories written by David J. Eck and published by American Mathematical Soc.. This book was released on 1981 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of gauge-natural bundles is introduced. They are a generalization of natural bundles and they provide a natural formal context for the discussion of gauge field theories. It is shown that such bundles correspond to actions of certain Lie groups on smooth manifolds and that natural differential operators between them correspond to equivariant maps. Some results of classical gauge theory are reformulated and reproved in the language of gauge-natural bundles, including a theorem of Utiyama which describes first order gauge-invariant Lagrangians on the bundle of connections of a principal bundle.
Author : Peter W. Michor
Publisher : Amer Inst of Physics
ISBN 13 : 9788870882476
Total Pages : 107 pages
Book Rating : 4.8/5 (824 download)
Download or read book Gauge Theory for Fiber Bundles written by Peter W. Michor and published by Amer Inst of Physics. This book was released on 1991 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerd Rudolph
Publisher : Springer
ISBN 13 : 9402409599
Total Pages : 830 pages
Book Rating : 4.4/5 (24 download)
Download or read book Differential Geometry and Mathematical Physics written by Gerd Rudolph and published by Springer. This book was released on 2017-03-22 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jakob Schwichtenberg
Publisher : No-Nonsense Books
ISBN 13 :
Total Pages : 195 pages
Book Rating : 4./5 ( download)
Download or read book Physics from Finance written by Jakob Schwichtenberg and published by No-Nonsense Books. This book was released on 2019-02-11 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding modern physics doesn’t have to be confusing and hard What if there was an intuitive way to understand how nature fundamentally works? What if there was a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that Physics from Finance now exists. What will you learn from this book? Get to know all fundamental interactions —Grasp how we can describe electromagnetic interactions, weak interactions, strong interactions and gravity using the same key ideas.Learn how to describe modern physics mathematically — Understand the meaning and origin of the Einstein equation, Maxwell’s equations, and the Schrödinger equation.Develop an intuitive understanding of key concepts — Read how we can understand abstract ideas like Gauge Symmetry, Internal Spaces, Gauge Fields, Connections and Curvature using a simple toy model of the financial market.Get an understanding you can be proud of — Learn why fiber bundles and group theory provide a unified framework for all modern theories of physics. Physics from Finance is the most reader-friendly book on the geometry of modern physics ever written. Here’s why. First of all, it's is nothing like a formal university lecture. Instead, it’s like a casual conservation with a more experienced student. This also means that nothing is assumed to be “obvious” or “easy to see”.Each chapter, each section, and each page focusses solely on the goal to help you understand. Nothing is introduced without a thorough motivation and it is always clear where each formula comes from.The book contains no fluff since unnecessary content quickly leads to confusion. Instead, it ruthlessly focusses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbook In total, the book contains more than 100 illustrations that help you understand the most important concepts visually.Whenever a concept is used which was already introduced previously, there is a short sidenote that reminds you where it was first introduced and often recites the main points. In addition, helpful diagrams make sure you won’t get lost.
Author : W. Drechsler
Publisher : Springer
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.F/5 ( download)
Download or read book Fiber Bundle Techniques in Gauge Theories written by W. Drechsler and published by Springer. This book was released on 1977-07 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark J.D. Hamilton
Publisher : Springer
ISBN 13 : 3319684396
Total Pages : 658 pages
Book Rating : 4.3/5 (196 download)
Download or read book Mathematical Gauge Theory written by Mark J.D. Hamilton and published by Springer. This book was released on 2017-12-06 with total page 658 pages. 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.
Author : David Bleecker
Publisher : Courier Corporation
ISBN 13 : 0486151875
Total Pages : 253 pages
Book Rating : 4.4/5 (861 download)
Download or read book Gauge Theory and Variational Principles written by David Bleecker and published by Courier Corporation. This book was released on 2013-01-18 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : M. Göckeler
Publisher : Cambridge University Press
ISBN 13 : 9780521378215
Total Pages : 248 pages
Book Rating : 4.3/5 (782 download)
Download or read book Differential Geometry, Gauge Theories, and Gravity written by M. Göckeler and published by Cambridge University Press. This book was released on 1989-07-28 with total page 248 pages. 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.
Author : Katherine Brading
Publisher : Cambridge University Press
ISBN 13 : 1139442023
Total Pages : 459 pages
Book Rating : 4.1/5 (394 download)
Download or read book Symmetries in Physics written by Katherine Brading and published by Cambridge University Press. This book was released on 2003-12-04 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together philosophical discussions of symmetry in physics, highlighting the main issues and controversies. It covers all the fundamental symmetries of modern physics, as well as discussing symmetry-breaking and general interpretational issues. For each topic, classic texts are followed by review articles and short commentaries.
Author : Norman Steenrod
Publisher : Princeton University Press
ISBN 13 : 9780691005485
Total Pages : 242 pages
Book Rating : 4.0/5 (54 download)
Download or read book The Topology of Fibre Bundles written by Norman Steenrod and published by Princeton University Press. This book was released on 1999-04-25 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike.
Author : G. Giachetta
Publisher : World Scientific
ISBN 13 : 9789810215873
Total Pages : 472 pages
Book Rating : 4.2/5 (158 download)
Download or read book New Lagrangian and Hamiltonian Methods in Field Theory written by G. Giachetta and published by World Scientific. This book was released on 1997 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book incorporates 3 modern aspects of mathematical physics: the jet methods in differential geometry, Lagrangian formalism on jet manifolds and the multimomentum approach to Hamiltonian formalism. Several contemporary field models are investigated in detail.This is not a book on differential geometry. However, modern concepts of differential geometry such as jet manifolds and connections are used throughout the book. Quadratic Lagrangians and Hamiltonians are studied at the general level including a treatment of Hamiltonian formalism on composite fiber manifolds. The book presents new geometric methods and results in field theory.
Author : Norman E. Steenrod
Publisher :
ISBN 13 :
Total Pages : 227 pages
Book Rating : 4.:/5 (934 download)
Download or read book The Topology of Fibre Bundles written by Norman E. Steenrod and published by . This book was released on 1970 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Healey
Publisher : Oxford University Press on Demand
ISBN 13 : 0199287961
Total Pages : 318 pages
Book Rating : 4.1/5 (992 download)
Download or read book Gauging What's Real written by Richard Healey and published by Oxford University Press on Demand. This book was released on 2007-09-27 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gauge theories have provided our most successful representations of the fundamental forces of nature. But how do such representations work? Healey aims to answer this question, and defends a distinctive thesis which proves that loops rather than points are the locations of fundamental properties.
Author : Eckehard W. Mielke
Publisher : Springer
ISBN 13 : 3319297341
Total Pages : 377 pages
Book Rating : 4.3/5 (192 download)
Download or read book Geometrodynamics of Gauge Fields written by Eckehard W. Mielke and published by Springer. This book was released on 2017-01-22 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein’s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.
Author :
Publisher :
ISBN 13 : 9814468649
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Advanced Classical Field Theory written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gennadi Sardanashvily
Publisher : Springer
ISBN 13 : 9462391718
Total Pages : 297 pages
Book Rating : 4.4/5 (623 download)
Download or read book Noether's Theorems written by Gennadi Sardanashvily and published by Springer. This book was released on 2016-03-18 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very general setting of reducible degenerate graded Lagrangian theory.
