Open Wilson Lines and Chiral Condensates in Thermal Holographic QCD

TL;DR

This paper explores how open Wilson lines relate to chiral condensates in thermal holographic QCD, analyzing effects of temperature and electromagnetic fields on chiral symmetry breaking within a gravity dual framework.

Contribution

It extends the holographic duality proposal for open Wilson lines to finite temperature and background fields, and generalizes the prescription to complex worldsheets and dual operators.

Findings

Finite temperature affects chiral symmetry breaking

Electric and magnetic fields influence the order parameter

Generalized worldsheets correspond to new dual operators

Abstract

We investigate various aspects of a proposal by Aharony and Kutasov arXiv:0803.3547 [hep-th] for the gravity dual of an open Wilson line in the Sakai-Sugimoto model or its non-compact version. In particular, we use their proposal to determine the effect of finite temperature, as well as background electric and magnetic fields, on the chiral symmetry breaking order parameter. We also generalize their prescription to more complicated worldsheets and identify the operators dual to such worldsheets.