Differential Geometry and Mathematical Physics : Part II. Fibre Bundles, Topology and Gauge Fields

Matthias Schmidt

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Language: English

Published by Springer, 2018

9402414495 / 9789402414493

Series: Book 39 of 43 - Theoretical and Mathematical Physics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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 variousmodels 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.

Seller Inventory # 9789402414493

Title
Differential Geometry and Mathematical Physics : Part II. Fibre Bundles, Topology and Gauge Fields
Author
Matthias Schmidt
Publisher
Springer
Publication year
2018
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9402414495
ISBN 13
9789402414493
Item weight
1,258 grams
Dimensions
235x155x46 mm
Series
Book 39 of 43: Theoretical and Mathematical Physics

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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Item7 to 10 business days5 to 7 business days
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