Percolation renormalization group analysis of confinement in Z2 lattice gauge theories

被引：0

作者：

Dünnweber, Gesa ^{[1
,2
,3
,4
]}

Linsel, Simon M. ^{[1
,2
,5
]}

Bohrdt, Annabelle ^{[2
,6
]}

Grusdt, Fabian ^{[1
,2
]}

机构：

[1] Faculty of Physics, Arnold Sommerfeld Centre for Theoretical Physics (ASC), Ludwig-Maximilians-Universität München, Theresienstr. 37, München,80333, Germany

[2] Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, München,80799, Germany

[3] Department of Physics, TUM School of Natural Sciences, Technical University of Munich, James-Franck-Str. 1, Garching,85748, Germany

[4] Walther-Meißner-Institut, Bayerische Akademie der Wissenschaften, Walther-Meißner-Str. 8, Garching,85748, Germany

[5] Department of Physics, Harvard University, Cambridge,MA,02138, United States

[6] Institute of Theoretical Physics, University of Regensburg, Universitätsstr. 31, Regensburg,93053, Germany

来源：

Physical Review B | 2025年 / 111卷 / 02期

基金：

欧洲研究理事会; 欧盟地平线“2020”;

关键词：

Percolation (computer storage) - Percolation (solid state);

D O I：

10.1103/PhysRevB.111.024314

中图分类号：

学科分类号：

摘要：

The analytical study of confinement in lattice gauge theories (LGTs) remains a difficult task to this day. Taking a geometric perspective on confinement, we develop a real-space renormalization group (RG) formalism for Z2 LGTs using percolation probability as a confinement order parameter. The RG flow we analyze is constituted by both the percolation probability and the coupling parameters. We consider a classical Z2 LGT in two dimensions, with matter and thermal fluctuations, and analytically derive the confinement phase diagram. We find good agreement with numerical and exact benchmark results and confirm that a finite matter density enforces confinement at T © 2025 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the https://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

引用

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