English

Second moment fuzzy-field-theory-like matrix models

High Energy Physics - Theory 2020-06-24 v2

Abstract

We solve a multitrace matrix model approximating the real quartic scalar field theory on the fuzzy sphere and obtain its phase diagram. We generalize this method to models with modified kinetic terms and demonstrate its use by investigating models related to the removal of the UV/IR mixing. We show that for the fuzzy sphere a modification of the kinetic part of the action by higher derivative term can change the phase diagram of the theory such that the triple point moves further from the origin.

Keywords

Cite

@article{arxiv.2002.02317,
  title  = {Second moment fuzzy-field-theory-like matrix models},
  author = {Mária Šubjaková and Juraj Tekel},
  journal= {arXiv preprint arXiv:2002.02317},
  year   = {2020}
}

Comments

21 pages, 3 figures; v2 - slight modifications, references added, published version

R2 v1 2026-06-23T13:33:10.197Z