A dual gravity study of the 2+1D compact U(1) gauge theory coupled with strongly interacting matter fields

TL;DR

This paper uses a gravity dual approach to analyze a 2+1D compact U(1) gauge theory coupled with strongly interacting matter fields, revealing how strong matter coupling affects gauge screening and non-perturbative dynamics.

Contribution

It provides a dual gravity framework to study the non-perturbative properties of the 2+1D U(1) gauge theory with strongly coupled matter fields, including gauge coupling and mass gap.

Findings

Strong matter coupling modifies U(1) screening effects.

Non-perturbative U(1) gauge coupling depends on energy scale.

Gravity dual approach reveals the impact of matter on gauge dynamics.

Abstract

We consider the D2-brane probe action in the gravity background dual to N coincident Dp-branes by treating the separation between the D2- and Dp-branes as a nondynamical parameter for $p=2,4,6$. The gauge coupling, the core size of a non-BPS instanton and the mass gap of the compact U(1) gauge theory in the D2-brane are determined as a function of the separation in the type IIA gravity region. The results are interpreted in terms of the 2+1D U(1) gauge theory coupled with the matter fields which are also strongly coupled with the p+1D SU(N) gauge field. It is shown that strong coupling of the matter fields to the SU(N) gauge field can drastically modify their screening of the U(1) gauge field. The non-perturbative dependence of the U(1) gauge coupling on the energy scale is obtained.