Functional Approach to Classical Yang-Mills Theories

Abstract

Sometime ago it was shown that the operatorial approach to classical mechanics, pioneered in the 30's by Koopman and von Neumann, can have a functional version. In this talk we will extend this functional approach to the case of classical field theories and in particular to the Yang-Mills ones. We shall show that the issues of gauge-fixing and Faddeev-Popov determinant arise also in this classical formalism.

4 pages, Contribution to the Proceedings of the International Meeting "Quantum Gravity and Spectral Geometry" (Naples, July 2-7, 2001)

Cited by in corpus (2)

• Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I
• Chiral Anomalies via Classical and Quantum Functional Methods