Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I

Details Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I

2005-08-31

arxiv.org/abs/hep-th/0508244v1

Annalen Phys. 15 (2006) 177-215

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, Latex

Scientific paper

10.1002/andp.200510177

In this paper we present the Koopman-von Neumann (KvN) formulation of classical non-Abelian gauge field theories. In particular we shall explore the functional (or classical path integral) counterpart of the KvN method. In the quantum path integral quantization of Yang-Mills theories concepts like gauge-fixing and Faddeev-Popov determinant appear in a quite natural way. We will prove that these same objects are needed also in this classical path integral formulation for Yang-Mills theories. We shall also explore the classical path integral counterpart of the BFV formalism and build all the associated universal and gauge charges. These last are quite different from the analog quantum ones and we shall show the relation between the two. This paper lays the foundation of this formalism which, due to the many auxiliary fields present, is rather heavy. Applications to specific topics outlined in the paper will appear in later publications.

Affiliated with

Also associated with

No associations

Rating

Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116577