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Dimensional Reduction of Gauge Theories, Spontaneous Compactification and Model Building

  • Book
  • © 1989

Overview

Authors:
  1. Y. A. Kubyshin
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  2. J. M. Mourão
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  3. G. Rudolph
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  4. I. P. Volobujev
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Part of the book series: Lecture Notes in Physics (LNP, volume 349)

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Table of contents (4 chapters)

  1. Front Matter

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  2. Introduction

    Pages 1-7

  3. Dimensional reduction of pure Yang-mills theories

    Pages 8-36

  4. Dimensional reduction of gravity and spontaneous compactification

    Pages 37-57

  5. Dimensional reduction of matter fields and model building

    Pages 58-73

  6. Back Matter

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Keywords

About this book

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.

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