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Evaluation of Self-Intersecting Wilson Loop in the Stochastic Vacuum Model

Dmitri Antonov
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Abstract

A Wilson loop is evaluated within the stochastic vacuum model for the case when the respective contour is self-intersecting and its size does not exceed the correlation length of the vacuum. The result has the form of a certain functional of the tensor area. It is similar to that for the non-self-intersecting loop only when the contour is a plane one. Even for such a contour, the obtained expression depends on the ratio of two functions parametrizing the bilocal field strength correlator taken at the origin, which is not so for the case of non-self-intersecting contour.

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Dmitri Antonov. 2000-12-28. Evaluation of Self-Intersecting Wilson Loop in the Stochastic Vacuum Model. https://doi.org/10.1016/s0370-2693(01)00166-6

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