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Dimensional Reduction of Gauge Theories, Spontaneous Compactification and Model Building

  • Authors
  • Y. A. Kubyshin
  • J. M. Mourão
  • G. Rudolph
  • I. P. Volobujev

Part of the Lecture Notes in Physics book series (LNP, volume 349)

About this book

Introduction

This monograph presents in detail the reduction method for studying the unification of fundamental actions. The mathematical (differential geometrical) methods make extensive use of Lie Groups and the concept of homogeneous spaces. The main topic of the book is the dimensional reduction of pure Yang-Mills theories. A rather complete analysis of the structure of the scalar field potential is given and a general procedure for solving the equations of spontaneous compactification within Einstein-Yang-Mills systems is presented. The authors also discuss gravity and theories with fermions included and they review attempts to construct realistic models. The book presents the basic ideas and the calculations in detail and should be of interest to researchers and graduate students in mathematical physics.

Keywords

Gravity Potential gauge theories mathematical physics

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-51917-3
  • Copyright Information Springer-Verlag 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51917-1
  • Online ISBN 978-3-540-46860-8
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
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