Rectangular Wilson Loops at Large N

Abstract

This work is about pure Yang-Mills theory in four Euclidean dimensions with gauge group SU(N). We study rectangular smeared Wilson loops on the lattice at large N and relatively close to the large-N transition point in their eigenvalue density. We show that the string tension can be extracted from these loops but their dependence on shape differs from the asymptotic prediction of effective string theory.

47 pages, 21 figures, 8 tables

References in corpus (7)

• Infinite N phase transitions in continuum Wilson loop operators
• Effective String Theory and Nonlinear Lorentz Invariance
• On the running of the bare coupling in SU(N) lattice gauge theories
• The Lorentz-invariant boundary action of the confining string and its universal contribution to the inter-quark potential
• Universal signatures of the effective string in finite temperature lattice gauge theories
• New numerical results and novel effective string predictions for Wilson loops
• Non-analyticity in scale in the planar limit of QCD

Cited by in corpus (12)

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• The Effective Theory of Long Strings
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• Effective string description of confining flux tubes
• Introductory lectures to large-N QCD phenomenology and lattice results
• Testing volume independence of SU(N) pure gauge theories at large N
• Gradient-flowed thermal correlators: how much flow is too much?
• The Large $N_c$ limit of QCD on the lattice
• Generating SU(Nc) pure gauge lattice QCD configurations on GPUs with CUDA
• The static quark potential from a multilevel algorithm for the improved gauge action
• Large $N$ scaling and factorization in SU($N$) Yang-Mills gauge theory
• Remarks on correlators of Polyakov Loops