Mathematical Gauge Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Gauge Theory write by Mark J.D. Hamilton. This book was released on 2017-12-06. Mathematical Gauge Theory available 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.
Mathematical Gauge Theory
Mathematical Gauge Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Gauge Theory write by Mark J.D. Hamilton. This book was released on 2018-01-10. Mathematical Gauge Theory available 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.
Gauge Theory and Variational Principles
Gauge Theory and Variational Principles - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Gauge Theory and Variational Principles write by David Bleecker. This book was released on 2013-01-18. Gauge Theory and Variational Principles available 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.
Group Structure of Gauge Theories
Group Structure of Gauge Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Group Structure of Gauge Theories write by L. O'Raifeartaigh. This book was released on 1986. Group Structure of Gauge Theories available in PDF, EPUB and Kindle. The first portion of the text is devoted to a review of those aspects of Lie groups necessary for the application of group theory to the physics of particles and fields. The second describes the way in which compact Lie groups are used to construct gauge theories.
Loops, Knots, Gauge Theories and Quantum Gravity
Loops, Knots, Gauge Theories and Quantum Gravity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Loops, Knots, Gauge Theories and Quantum Gravity write by Rodolfo Gambini. This book was released on 2000-07-03. Loops, Knots, Gauge Theories and Quantum Gravity available in PDF, EPUB and Kindle. Now in paperback, this text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest a promising approach to the eventual unification of the four fundamental forces. This text begins with a detailed review of loop representation theory. It then goes on to describe loop representations in Maxwell theory, Yang-Mills theories as well as lattice techniques. Applications in quantum gravity are then discussed in detail. Following chapters move on to consider knot theories, braid theories and extended loop representations in quantum gravity. A final chapter assesses the current status of the theory and points out possible directions for future research.
