Functional Approach to Classical Yang-Mills Theories

Details Functional Approach to Classical Yang-Mills Theories Functional Approach to Classical Yang-Mills Theories

2001-07-10

arxiv.org/abs/hep-th/0107077v1

Nucl.Phys.Proc.Suppl. 104 (2002) 247-250

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0920-5632(01)01625-5

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.

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