Static Gauge Potential from Noncritical Strings

TL;DR

This paper calculates the static gauge potential using non-critical string backgrounds, revealing linear confinement at infinity and a suppressed overconfining branch at the origin, advancing understanding of non-critical string holography.

Contribution

It introduces a method to compute gauge potentials from non-critical strings and analyzes their behavior across different holographic coordinate regimes.

Findings

Potential is linear at infinity, indicating confinement.

Overconfining cubic branch appears near the origin but is energetically disfavored.

Provides insights into non-critical string holography and confinement mechanisms.

Abstract

The static gauge potential between heavy sources is computed from a recently introduced non-critical bosonic string background. When the sources are located at the infinity of the holographic coordinate, the linear dilaton behavior is recovered, which means that the potential is exactly linear in the separation between the sources. When the sources are moved towards the origin, a competing overconfining cubic branch appears, which is however disfavored energetically.