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arXiv · hep-th/9508103

Poisson Algebra of Wilson Loops and Derivations of Free Algebras

S. G. Rajeev·O. T. Turgut
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Abstract

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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BibTeXRIS

S. G. Rajeev, O. T. Turgut. 1995-08-22. Poisson Algebra of Wilson Loops and Derivations of Free Algebras. https://doi.org/10.1063/1.531433

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