A new approach to the study of effective string corrections in LGTs

Abstract

We propose a new approach to the study of the interquark potential in Lattice Gauge Theories. Instead of looking at the expectation value of Polyakov loop correlators we study the modifications induced in the chromoelectric flux by the presence of the Polyakov loops. In abelian LGTs, thanks to duality, this study can be performed in a very efficient way, allowing to reach high precision at a reasonable CPU cost. The major advantage of this strategy is that it allows to eliminate the dominant effective string correction to the interquark potential (the Luscher term) thus giving an unique opportunity to test higher order corrections. Performing a set of simulations in the 3d gauge Ising model we were thus able to precisely identify and measure both the quartic and the sextic effective string corrections to the interquark potential. While the quartic term perfectly agrees with the Nambu-Goto one the sextic term is definitely different. Our result seems to disagree with the recent proof of the universality of the sextic correction. We discuss a few possible explanations of this disagreement.

22 pages, 5 figures. Comment added in the last section

References in corpus (7)

• Corrections to Nambu-Goto energy levels from the effective string action
• The Width of the Confining String in Yang-Mills Theory
• On the effective theory of long open strings
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• The Width of the Color Flux Tube at 2-Loop Order
• Linear broadening of the confining string in Yang-Mills theory at low temperature
• The confining string beyond the free-string approximation in the gauge dual of percolation

Cited by in corpus (9)

• Effective string description of confining flux tubes
• Effective String Theory and Nonlinear Lorentz Invariance
• The Lorentz-invariant boundary action of the confining string and its universal contribution to the inter-quark potential
• A different kind of string
• Jarzynski's theorem for lattice gauge theory
• On the intrinsic width of the chromoelectric flux tube in finite temperature LGTs
• New numerical results and novel effective string predictions for Wilson loops
• Ising string beyond Nambu-Goto
• Intermediate-Distance String Effects in Wilson Loops\\ via Boundary Action