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arXiv · 1601.04726

Wilson Loop Area Law for 2D Yang-Mills in Generalized Axial Gauge

Timothy Nguyen
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Abstract

We prove that Wilson loop expectation values for arbitrary simple closed contours obey an area law up to second order in perturbative two-dimensional Yang-Mills theory. Our analysis occurs within a general family of axial-like gauges, which include and interpolate between holomorphic gauge and the Wu-Mandelstam-Liebrandt light cone gauge. Our methods make use of the homotopy invariance properties of iterated integrals of closed one-forms, which allows us to evaluate the nontrivial integrals occurring at second order. We close with a discussion on complex gauge-fixing and deformation of integration cycles for holomorphic path integrals to shed light on some of the quantum field-theoretic underpinnings of our results.

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Timothy Nguyen. 2016-01-18. Wilson Loop Area Law for 2D Yang-Mills in Generalized Axial Gauge. https://arxiv.org/abs/1601.04726

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