Path integral measure factorization in path integrals for diffusion of Yang--Mills fields

S. N. Storchak

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arXiv · 0711.2910

Path integral measure factorization in path integrals for diffusion of Yang--Mills fields

S. N. Storchak

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Abstract

Factorization of the (formal) path integral measure in a Wiener path integrals for Yang--Mills diffusion is studied. Using the nonlinear filtering stochastic differential equation, we perform the transformation of the path integral defined on a total space of the Yang--Mills principal fiber bundle and come to the reduced path integral on a Coulomb gauge surface. Integral relation between the path integral representing the "quantum" evolution given on the original manifold of Yang--Mills fields and the path integral on the reduced manifold defined by the Coulomb gauge is obtained.

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S. N. Storchak. 2007-11-19. Path integral measure factorization in path integrals for diffusion of Yang--Mills fields. https://arxiv.org/abs/0711.2910

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