On QCD_2 from supergravity and mass gaps in QCD

TL;DR

This paper investigates the presence of mass gaps in the supergravity duals of QCD_2, revealing that these dual theories exhibit mass gaps unlike pure QCD_2, with implications for higher-dimensional QCD models.

Contribution

It demonstrates the existence of mass gaps in supergravity duals of QCD_2 and explains their origin, contrasting with pure QCD_2, and discusses implications for QCD_3 and QCD_4.

Findings

Mass gaps are present in supergravity duals of QCD_2.

The mass gap in rotating backgrounds can be explained via large angular momentum limits.

Pure QCD_2 does not have a mass gap, unlike its supergravity duals.

Abstract

As a test of the conjectured QCD/supergravity duality, we consider mass gaps in the supergravity construction of QCD_2. We find a mass gap in the dual field theory both when using non-rotating and rotating black D2-branes as backgrounds in the supergravity construction of QCD_2. So, since pure QCD_2 does not have a mass gap, the dual field theory of the supergravity construction of QCD_2 cannot be pure QCD_2. Considering the mass scales in the dual field theory of the supergravity construction of QCD_2, we find that this is explainable both in the case of the non-rotating background and of the rotating background. In particular, the mass gap in the case of the rotating background can be explained using results of the large angular momentum limit of euclidean rotating branes, obtained recently by Cvetic and Gubser. We furthermore remark on the possible implications for the mass gaps in the supergravity constructions of QCD_3 and QCD_4.