High Temperature Limit of the $ N= 2 $ IIA Matrix Model

TL;DR

This paper analyzes the high temperature behavior of a two D-0 brane system within the IIA matrix model, providing exact calculations of the partition function, effective potential, and physical quantities in this limit.

Contribution

It offers the first exact computation of the high temperature limit for the two D-0 brane system in the IIA matrix model, including the partition function and physical observables.

Findings

Exact leading term of the partition function and effective potential calculated.

Physical quantities like mean square separation determined exactly at high temperature.

Comments on the complexities of extending analysis to the SU(3) IIB matrix model.

Abstract

The high temperature limit of a system of two D-0 branes is investigated. The partition function can be expressed as a power series in $\beta$ (inverse temperature). The leading term in the high temperature expression of the partition function and effective potential is calculated {\em exactly}. Physical quantities like the mean square separation can also be exactly determined in the high temperature limit. We comment on SU(3) IIB matrix model and the difficulties to study it.