Quantum Field Theory III: Gauge Theory: A Bridge Between Mathematicians And Physicists

Quantum Field Theory

by Eberhard Zeidler

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 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   Part The Euclidean Manifold as a Paradigm Part Ariadne's Thread in Gauge Theory Part Einstein's Theory of Special Relativity Part 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 typical physics 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).

Genres: Mathematics, Physics

1158 pages, Hardcover

First published January 1, 2011

About the author

Librarian Note: There is more than one author in the Goodreads database with this name.

Eberhard Zeidler is a German mathematician who worked primarily in the field of nonlinear functional analysis.