Finite-temperature phase diagram of the Berenstein-Maldacena-Nastase matrix model on the lattice

IF 5.3 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-05-27 DOI:10.1103/physrevd.111.094516

Raghav G. Jha, Anosh Joseph, David Schaich

{"title":"Finite-temperature phase diagram of the Berenstein-Maldacena-Nastase matrix model on the lattice","authors":"Raghav G. Jha, Anosh Joseph, David Schaich","doi":"10.1103/physrevd.111.094516","DOIUrl":null,"url":null,"abstract":"We investigate the thermal phase structure of the Berenstein-Maldacena-Nastase matrix model using nonperturbative lattice Monte Carlo calculations. Our main analyses span 3 orders of magnitude in the coupling, involving systems with sizes up to N</a:mi>τ</a:mi></a:msub>=</a:mo>24</a:mn></a:math> lattice sites and <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mrow><c:mi>SU</c:mi><c:mo stretchy=\"false\">(</c:mo><c:mi>N</c:mi><c:mo stretchy=\"false\">)</c:mo></c:mrow></c:math> gauge groups with <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mn>8</g:mn><g:mo>≤</g:mo><g:mi>N</g:mi><g:mo>≤</g:mo><g:mn>16</g:mn></g:math>. In addition, we carry out extended checks of discretization artifacts for <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msub><i:mi>N</i:mi><i:mi>τ</i:mi></i:msub><i:mo>≤</i:mo><i:mn>128</i:mn></i:math> and gauge group SU(4). We find results for the deconfinement temperature that interpolate between the perturbative prediction at weak coupling and the large-<k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>N</k:mi></k:math> dual supergravity calculation at strong coupling. While we confirm that the phase transition is first order for strong coupling, it appears to be continuous for weaker couplings. Published by the American Physical Society 2025 ","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"58 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.094516","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}

引用次数: 0

Abstract

We investigate the thermal phase structure of the Berenstein-Maldacena-Nastase matrix model using nonperturbative lattice Monte Carlo calculations. Our main analyses span 3 orders of magnitude in the coupling, involving systems with sizes up to Nτ=24 lattice sites and SU(N) gauge groups with 8≤N≤16. In addition, we carry out extended checks of discretization artifacts for Nτ≤128 and gauge group SU(4). We find results for the deconfinement temperature that interpolate between the perturbative prediction at weak coupling and the large-N dual supergravity calculation at strong coupling. While we confirm that the phase transition is first order for strong coupling, it appears to be continuous for weaker couplings.

Published by the American Physical Society

2025

查看原文本刊更多论文

晶格上Berenstein-Maldacena-Nastase矩阵模型的有限温度相图

我们使用非微扰晶格蒙特卡罗计算研究了Berenstein-Maldacena-Nastase矩阵模型的热相结构。我们的主要分析跨越了耦合的3个数量级，涉及大小高达Nτ=24晶格位的系统和8≤N≤16的SU(N)规范群。此外，我们对Nτ≤128和量规群SU(4)的离散伪像进行了扩展检验。我们发现了在弱耦合下的微扰预测和强耦合下的大n双超重力计算之间插值的解定义温度结果。在强耦合条件下，相变是一阶的，而在弱耦合条件下，相变是连续的。2025年由美国物理学会出版

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.