Thermalization in massive deformations of yang–mills matrix models


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Oktay O.

Acta Physica Polonica B, vol.52, no.12, pp.1405-1422, 2021 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 12
  • Publication Date: 2021
  • Doi Number: 10.5506/aphyspolb.52.1405
  • Journal Name: Acta Physica Polonica B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), Compendex, INSPEC, zbMATH
  • Page Numbers: pp.1405-1422
  • Middle East Technical University Affiliated: Yes

Abstract

© 2021 Jagellonian University. All rights reserved.We numerically study the classical evolution of a Yang–Mills matrix model with two distinct mass deformation terms, which can be contemplated as a massive deformation of the bosonic part of the BFSS model. Through numerical analysis, it is shown that when the simulations are started from a certain set of initial conditions, thermalization occurs. Besides, an estimation method is proposed to determine the approximate thermalization time. Using this method, we demonstrate that thermalization time varies logarithmically with increasing matrix size when the mass terms differ. Introducing a matrix configuration, we also obtain reduced actions and subsequently analyze how the thermalization time changes as a function of energy.