Fifty Years of Yang-Mills Theory and my Contribution to it

Abstract

On the fiftieth anniversary of Yang-Mills theory, I review the contribution to its understanding by my collaborators and me. Contents: 1.Gauge Theories and Quantum Anomalies; 2.Mathematical Connections; 3. Gauge Field Dynamics other than Yang-Mills; 4. Gauge Formalism for General Relativity Variables; A. Christoffel connection as a gauge potential, B. Gravitational Chern-Simons term from gauge theory Chern-Simons term, C. Coordinate transformations in general relativity and gauge theory, (i) Response to changes in coordinates (ii) Invariant fields and constants of motion. References.

arXiv comment29 pages, 1 figure

References in corpus (1)

• Chern-Simons Modification of General Relativity

Cited by in corpus (4)

• Tetrads in SU(3) X SU(2) X U(1) Yang-Mills geometrodynamics
• Dirac Sea and Hole Theory for Bosons I -- A new formulation of quantum field theories --
• Intrinsic time gravity, heat kernel regularization, and emergence of Einstein's theory
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms