A Computer Test of Holographic Flavour Dynamics

TL;DR

This paper uses computer simulations to study holographic flavor dynamics in the D0/D4-brane system, comparing results with theoretical predictions and analyzing phase-dependent discrepancies.

Contribution

It provides the first detailed comparison between holographic predictions and numerical simulations of the BD matrix model for flavor dynamics.

Findings

Excellent agreement in the deconfined phase

Significant deviations in the confined phase

Discrepancies explained by D4-brane embedding effects

Abstract

We perform computer simulations of the Berkooz-Douglas (BD) matrix model, holographically dual to the D0/D4-brane intersection. We generate the fundamental condensate versus bare mass curve of the theory both holographically and from simulations of the BD model. Our studies show excellent agreement of the two approaches in the deconfined phase of the theory and significant deviations in the confined phase. We argue the discrepancy in the confined phase is explained by the embedding of the D4-brane which yields stronger $\alpha'$ corrections to the condensate in this phase.