Beyond second-moment approximation in fuzzy-field-theory-like matrix models

Autor: Mária Šubjaková, Juraj Tekel
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2022, Iss 2, Pp 1-30 (2022)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP02(2022)065
Popis: Abstract We investigate the phase structure of a special class of multi-trace hermitian matrix models, which are candidates for the description of scalar field theory on fuzzy spaces. We include up to the fourth moment of the eigenvalue distribution into the multi-trace part of the probability distribution, which stems from the kinetic term of the field theory action. We show that by considering different multi-trace behavior in the large moment and in the small moment regimes of the model, it is possible to obtain a matrix model, which describes the numerically observed phase structure of fuzzy field theories. Including the existence of uniform order phase, triple point, and an approximately straight transition line between the uniform and non-uniform order phases.
Databáze: Directory of Open Access Journals