Quantum Field Theory III: Gauge Theory

A Bridge between Mathematicians and Physicists

By Eberhard Zeidler

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This book examines gauge theory as a tool for describing the fundamental forces acting in the universe: gravitative, electromagnetic, weak interaction and strong interaction. The author used gauge theory to build a bridge between mathematicians and physicists.

Full Description

  • ISBN13: 978-3-6422-2420-1
  • 1158 Pages
  • Publication Date: August 17, 2011
  • Available eBook Formats: PDF
  • eBook Price: $139.00
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Full Description
In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction.  Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a ParadigmPart II: Ariadne's Thread in Gauge TheoryPart III: Einstein's Theory of Special RelativityPart IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typicalphysics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).
Table of Contents

Table of Contents

  1. Prologue.
  2. Part I. The Euclidean Manifold as a Paradigm.
  3. Part II. Ariadne's Thread in Gauge Theory.
  4. Part III. Einstein's Theory of Special Relativity.
  5. Part IV. Ariadne's Thread in Cohomology.
  6. Appendix.
  7. Epilogue.
  8. References.
  9. List of Symbols.
  10. Index.
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