The Flavoured BFSS Model at High Temperature

TL;DR

This paper analyzes the high temperature behavior of the flavoured BFSS matrix model, providing a second-order series expansion, validating results against a bosonic model, and exploring temperature-dependent mass effects.

Contribution

It develops a second-order high temperature series expansion for the flavoured BFSS model and compares it with the bosonic case, revealing mass lifting effects and phase characteristics.

Findings

Excellent agreement with bosonic model at high temperature

Backreaction lifts zero temperature mass degeneracy

Identified masses in low temperature phase

Abstract

We study the high temperature series expansion of the Berkooz-Douglas matrix model which describes the D0/D4--brane system. At high temperature the model is weakly coupled and we develop the series to second order. We check our results against the high temperature regime of the bosonic model (without fermions) and find excellent agreement. We track the temperature dependence of the bosonic model and find backreaction of the fundamental fields lifts the zero temperature adjoint mass degeneracy. In the low temperature phase the system is well described by a gaussian model with three masses $m^t_A=1.964 \pm 0.003$, $m^l_A=2.001 \pm 0.003$ and $m_f=1.463 \pm 0.001$, the adjoint longitudional and transverse masses and the mass of the fundamental fields respectively.