General computations without fixing the gauge

Rosten, Oliver J. (2006) General computations without fixing the gauge. Physical Review D, 74 (12). ISSN 1550-7998

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Official URL: http://doi.org/10.1103/PhysRevD.74.125006

Abstract

Within the framework of a manifestly gauge invariant exact renormalization group for SU(N) Yang-Mills, we derive a simple expression for the expectation value of an arbitrary gauge invariant operator. We illustrate the use of this formula by computing the O(g^2) correction to the rectangular, Euclidean Wilson loop with sides T >> L. The standard result is trivially obtained, directly in the continuum, for the first time without fixing the gauge. We comment on possible future applications of the formalism.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:31
Last Modified: 17 Dec 2022 14:42
URI: https://dair.dias.ie/id/eprint/183

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