Wilson loop on a sphere

D.V. Boulatov

arXiv:hep-th/9310041·hep-th·October 22, 2009

Wilson loop on a sphere

D.V. Boulatov

PDF

TL;DR

This paper derives a formula for a Wilson loop on a sphere in QCD$_2$ for arbitrary saddle-point distributions and explores its behavior in the strong-coupling phase.

Contribution

It provides a general formula for Wilson loops on a sphere in QCD$_2$ applicable to any saddle-point density and analyzes the strong-coupling phase solution.

Findings

01

Derived a universal formula for Wilson loops on a sphere in QCD$_2$

02

Analyzed the strong-coupling phase behavior of the Wilson loop

03

Applicable to arbitrary saddle-point distributions in the theory

Abstract

We give the formula for a simple Wilson loop on a sphere which is valid for an arbitrary QCD $_{2}$ saddle-point $ρ (x)$ : \mbox{ $W (A_{1}, A_{2}) = \oint \frac{d x}{2 π i} exp (\int d y \frac{ρ ( y )}{y - x} + A_{2} x)$ }. The strong-coupling-phase solution is investigated.

Peer Reviews

No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.

Videos

No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.