J 2023

Approximate treatment of noncommutative curvature in quartic matrix model

PREKRAT, D., D. RANKOVIĆ, N. K. TODOROVIĆ-VASOVIĆ, Samuel KOVÁČIK, J. TEKEL et. al.

Basic information

Original name

Approximate treatment of noncommutative curvature in quartic matrix model

Authors

PREKRAT, D. (guarantor), D. RANKOVIĆ, N. K. TODOROVIĆ-VASOVIĆ, Samuel KOVÁČIK (703 Slovakia, belonging to the institution) and J. TEKEL

Edition

Journal of High Energy Physics, Springer, 2023, 1029-8479

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10300 1.3 Physical sciences

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 5.400 in 2022

RIV identification code

RIV/00216224:14310/23:00130418

Organization unit

Faculty of Science

DOI

UT WoS

000920666200002

Keywords in English

Matrix Models; Non-Commutative Geometry; Phase Transitions

Tags

Tags

International impact, Reviewed
Změněno: 3/4/2024 11:14, Mgr. Michal Petr

Abstract

V originále

We study a Hermitian matrix model with the standard quartic potential amended by a tr(RΦ2) term for fixed external matrix R. This is motivated by a curvature term in the truncated Heisenberg algebra formulation of the Grosse-Wulkenhaar model — a renormalizable noncommutative field theory. The extra term breaks the unitary symmetry of the action and leads, after perturbative calculation of the unitary integral, to an effective multitrace matrix model. Accompanying the analytical treatment of this multitrace approximation, we also study the model numerically by Monte Carlo simulations. The phase structure of the model is investigated, and a modified phase diagram is identified. We observe a shift of the transition line between the 1-cut and 2-cut phases of the theory that is consistent with the previous numerical simulations and also with the removal of the noncommutative phase in the Grosse-Wulkenhaar model.