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Wilson Loops in Two-Dimensional Space-Time Regarded as White Noise

✍ Scribed by C. Becker

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 905 KB
Volume: 134
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1995.1148

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✦ Synopsis

Wilson loops are formally defined as (e^{i f_{C} \cdot A \cdot x d y}) where (C) is a closed curve and (A) is the electromagnetic vector potential. In this paper the case of two-dimensional Euclidean space-time is investigated. (A) satisfies the equation (\partial A=F, F) being generalized white noise. A rigorous definition of Wilson loops is given and the (\mathrm{N})-loop Schwinger functions, which are shown to satisfy Seiler's axioms, are explicitly calculated. 1995 Academic Press. Inc.

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