ar X iv : h ep - t h / 95 08 10 3 v 1 2 2 A ug 1 99 5 Poisson Brackets of Wilson Loops and Derivations of Free Algebras
نویسندگان
چکیده
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.
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