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.

arXiv comment10 pages, 3 figures. Version published in JHEP; improved figures 1 and 3

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• A New Constraint on Effective Field Theories of the QCD Flux Tube