%0 Journal Article
%T Poisson Algebra of Wilson Loops and Derivations of Free Algebras
%A S. G. Rajeev
%A O. T. Turgut
%J Mathematics
%D 1995
%I arXiv
%R 10.1063/1.531433
%X We describe a finite analogue of the Poisson algebra of Wilson loops in Yang-Mills theory. It is shown that this algebra arises in an apparently completely different context; as a Lie algebra of vector fields on a non-commutative space. This suggests that non-commutative geometry plays a fundamental role in the manifestly gauge invariant formulation of Yang-Mills theory. We also construct the deformation of the loop algebra induced by quantization, in the large N_c limit.
%U http://arxiv.org/abs/hep-th/9508103v1