Linear broadening of the confining string in Yang-Mills theory at low temperature

Abstract

The logarithmic broadening predicted by the systematic low-energy effective field theory for the confining string has recently been verified in numerical simulations of (2+1)-d SU(2) lattice Yang-Mills theory at zero temperature. The same effective theory predicts linear broadening of the string at low non-zero temperature. In this paper, we verify this prediction by comparison with very precise Monte Carlo data. The comparison involves no additional adjustable parameters, because the low-energy constants of the effective theory have already been fixed at zero temperature. It yields very good agreement between the underlying Yang-Mills theory and the effective string theory.

10 pages, 3 figures. Version published in JHEP; improved figures 1 and 3

References in corpus (6)

• Corrections to Nambu-Goto energy levels from the effective string action
• The Width of the Confining String in Yang-Mills Theory
• Closed k-strings in SU(N) gauge theories : 2+1 dimensions
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Cited by in corpus (4)

• Color flux tubes in $SU(3)$ Yang-Mills theory: an investigation with the connected correlator
• Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows
• Numerical determination of the width and shape of the effective string using Stochastic Normalizing Flows
• Form factor and width of a quantum string