Deconfinement Phase Transition in Bosonic BMN Model at General Coupling

TL;DR

This paper investigates the deconfinement phase transition in the bosonic BMN matrix model across various couplings using non-perturbative lattice methods, revealing a consistent first-order transition.

Contribution

It provides the first comprehensive non-perturbative analysis of the phase transition in the bosonic BMN model over a broad coupling range.

Findings

Identifies a first-order phase transition at all couplings studied.

Uses Polyakov loop as an effective order parameter.

Verifies results with the separatrix ratio.

Abstract

We present our analysis of the deconfinement phase transition in the bosonic BMN matrix model. The model is investigated using a non-perturbative lattice framework. We used the Polyakov loop as the order parameter to monitor the phase transition, and the results were verified using the separatrix ratio. The calculations are performed using a large number of colors and a broad range of temperatures for all couplings. Our results indicate a first-order phase transition in this theory for all the coupling values that connect the perturbative and non-perturbative regimes of the theory.