Modern Differential Geometry in Gauge Theories Yang¿Mills Fields, Volume II /

• Main Author: Mallios, Anastasios (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2010.
• Edition: 1.
• Subjects: Mathematics.; Algebra.; Field theory (Physics).; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Physics.; Optics.; Electrodynamics.; Elementary particles (Physics).; Quantum field theory.; Differential Geometry.; Mathematical Methods in Physics.; Field Theory and Polynomials.; Elementary Particles, Quantum Field Theory.; Optics and Electrodynamics.; Global Analysis and Analysis on Manifolds.

Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an ax...

Table of Contents:

• Yang–Mills Theory:General Theory
• Abstract Yang#x2013;Mills Theory
• Moduli Spaces of -Connections of Yang#x2013;Mills Fields
• Geometry of Yang#x2013;Mills -Connections
• General Relativity
• General Relativity, as a Gauge Theory. Singularities.