English

Non-perturbative phase structure of the bosonic BMN matrix model

High Energy Physics - Lattice 2022-05-31 v2 High Energy Physics - Theory

Abstract

We study the bosonic part of the BMN matrix model for wide ranges of temperatures, values of the deformation parameter, and numbers of colors 16N4816 \leq N \leq 48. Using lattice computations, we analyze phase transitions in the model, observing a single first-order transition from a uniform to a gapped phase for all values of the deformation parameter. We study the functional form of the dependence of the critical temperature on the deformation parameter, to describe how our results smoothly interpolate between the limits of the bosonic BFSS model and the gauged Gaussian model.

Keywords

Cite

@article{arxiv.2201.08791,
  title  = {Non-perturbative phase structure of the bosonic BMN matrix model},
  author = {Navdeep Singh Dhindsa and Raghav G. Jha and Anosh Joseph and Abhishek Samlodia and David Schaich},
  journal= {arXiv preprint arXiv:2201.08791},
  year   = {2022}
}

Comments

v2: Added references, no change in results. Version consistent with the journal version. v1: 21 pages, 8 figures

R2 v1 2026-06-24T08:57:58.774Z