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Author : W. Drechsler
Publisher : Springer
ISBN 13 : 9783662214657
Total Pages : 251 pages
Book Rating : 4.52/5 ( download)
Download or read book Fiber Bundle Techniques in Gauge Theories written by W. Drechsler and published by Springer. This book was released on 2014-03-12 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Drechsler
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.38/5 ( download)
Download or read book Fiber bundle techniques in gauge theories written by Wolfgang Drechsler and published by . This book was released on 1977 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter W. Michor
Publisher : Amer Inst of Physics
ISBN 13 : 9788870882476
Total Pages : 107 pages
Book Rating : 4.70/5 ( 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 : David Bleecker
Publisher : Courier Corporation
ISBN 13 : 0486151875
Total Pages : 253 pages
Book Rating : 4.78/5 ( 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 : W. Drechsler
Publisher : Springer
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.46/5 ( 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 : D. Husemöller
Publisher : Springer Science & Business Media
ISBN 13 : 1475740085
Total Pages : 333 pages
Book Rating : 4.80/5 ( download)
Download or read book Fibre Bundles written by D. Husemöller and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950 the defini tion of fibre bundle had been clearly formulated, the homotopy classifica tion of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians, Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in 1950, gave a coherent treatment of the subject up to that time. About 1955 Milnor gave a construction of a universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal. During the five years from 1950 to 1955, Hirzebruch clarified the notion of characteristic class and used it to prove a general Riemann-Roch theorem for algebraic varieties. This was published in his Ergebnisse Monograph. A systematic development of characteristic classes and their applications to manifolds is given in Part III and is based on the approach of Hirze bruch as modified by Grothendieck.
Author : R. Martini
Publisher : Springer
ISBN 13 : 3540391924
Total Pages : 231 pages
Book Rating : 4.20/5 ( download)
Download or read book Geometric Techniques in Gauge Theories written by R. Martini and published by Springer. This book was released on 2006-11-14 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Moriyasu
Publisher : World Scientific
ISBN 13 : 9789971950835
Total Pages : 204 pages
Book Rating : 4.39/5 ( download)
Download or read book An Elementary Primer for Gauge Theory written by K. Moriyasu and published by World Scientific. This book was released on 1983 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gauge theory is now recognized as one of the most revolutionary discoveries in physics since the development of quantum mechanics. This primer explains how and why gauge theory has dramatically changed our view of the fundamental forces of nature. The text is designed for the non-specialist. A new, intuitive approach is used to make the ideas of gauge theory accessible to both scientists and students with only a background in quantum mechanics. Emphasis is placed on the physics rather than the formalism.
Author : Paul Benioff
Publisher : World Scientific
ISBN 13 : 1800614985
Total Pages : 296 pages
Book Rating : 4.87/5 ( download)
Download or read book Local Mathematics For Local Physics: From Number Scaling To Guage Theory And Cosmology written by Paul Benioff and published by World Scientific. This book was released on 2024-01-19 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The language of the universe is mathematics, but how exactly do you know that all parts of the universe 'speak' the same language? Benioff builds on the idea that the entity that gives substance to both mathematics and physics is the fundamental field, called the 'value field'. While exploring this idea, he notices the similarities that the value field shares with several mysterious phenomena in modern physics: the Higgs field, and dark energy.The author first introduces the concept of the value field and uses it to reformulate the basic framework of number theory, calculus, and vector spaces and bundles. The book moves on to find applications to classical field theory, quantum mechanics and gauge theory. The last two chapters address the relationship between theory and experiment, and the possible physical consequences of both the existence and non-existence of the value field. The book is open-ended, and the list of open questions is certainly longer than the set of proposed answers.Paul Benioff, a pioneer in the field of quantum computing and the author of the first quantum-mechanical description of the Turing machine, devoted the last few years of his life to developing a universal description in which mathematics and physics would be on equal footing. He died on March 29, 2022, his work nearly finished. The final editing was undertaken by Marek Czachor who, in the editorial afterword, attempts to place the author's work in the context of a shift in the scientific paradigm looming on the horizon.
Author : David J. Eck
Publisher : American Mathematical Soc.
ISBN 13 : 0821822470
Total Pages : 57 pages
Book Rating : 4.70/5 ( 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.
