Percolation renormalization group analysis of confinement in Z2 lattice gauge theories

IF 3.7 2区物理与天体物理 Q1 Physics and Astronomy Physical Review B Pub Date : 2025-01-27 DOI:10.1103/physrevb.111.024314

Gesa Dünnweber, Simon M. Linsel, Annabelle Bohrdt, Fabian Grusdt

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引用次数: 0

Abstract

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<∞ in the model we consider. Our RG scheme enables future analytical studies of Z2 LGTs with matter and quantum fluctuations and beyond.

Published by the American Physical Society

2025

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来源期刊

Physical Review B 物理-物理：凝聚态物理

CiteScore

6.70

自引率

32.40%

发文量

审稿时长

3.0 months

期刊介绍： Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide. PRB covers the full range of condensed matter, materials physics, and related subfields, including: -Structure and phase transitions -Ferroelectrics and multiferroics -Disordered systems and alloys -Magnetism -Superconductivity -Electronic structure, photonics, and metamaterials -Semiconductors and mesoscopic systems -Surfaces, nanoscience, and two-dimensional materials -Topological states of matter

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