Revisiting Wilson loops for nonrelativistic backgrounds

TL;DR

This paper explores Wilson loops in nonrelativistic field theories, revealing a nontrivial zero-temperature drag force and analyzing various configurations to understand their physical implications.

Contribution

It introduces new coupled nonlinear differential equations for Wilson loop configurations and links the nonrelativistic parameter to chemical potential.

Findings

Found a nontrivial drag force at zero temperature.

Linked the nonrelativistic parameter to chemical potential.

Reanalyzed known configurations with additional insights.

Abstract

We consider several configurations that describe Wilson loops in nonrelativistic field theories, and for some of them we find systems of coupled nonlinear differential equations. Also, we find a nontrivial drag force at zero temperature, which suggests that the parameter controlling the deviation of the nonrelativistic space from the relativistic space is somewhat related to the chemical potential of these systems. Moreover, we reconsider some known configurations in the literature and we perform further analysis.