Percolation renormalization group analysis of confinement in Z2 lattice gauge theories

被引：0

作者：

Duennweber, Gesa ^{[1
,2
,3
,4
]}

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

Bohrdt, Annabelle ^{[2
,6
]}

Grusdt, Fabian ^{[1
,2
]}

机构：

[1] Ludwig Maximilians Univ Munchen, Fac Phys, Arnold Sommerfeld Ctr Theoret Phys ASC, Theresienstr 37, D-80333 Munich, Germany

[2] Munich Ctr Quantum Sci & Technol MCQST, Schellingstr 4, D-80799 Munich, Germany

[3] Tech Univ Munich, TUM Sch Nat Sci, Dept Phys, Dept Phys, James-Franck-Str 1, D-85748 Garching, Germany

[4] Bayer Akad Wissensch, Walther Meissner Inst, Walther Meissner Str. 8, D-85748 Garching, Germany

[5] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA

[6] Univ Regensburg, Inst Theoret Phys, Univ Str 31, D-93053 Regensburg, Germany

来源：

PHYSICAL REVIEW B | 2025年 / 111卷 / 02期

基金：

欧洲研究理事会;

关键词：

REAL-SPACE RENORMALIZATION; QUARK CONFINEMENT; BOND PERCOLATION; SITE; PROBABILITIES; STATES; ORDER;

D O I：

10.1103/PhysRevB.111.024314

中图分类号：

T [工业技术];

学科分类号：

08 ;

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 Z(2) 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 Z(2) 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 < infinity in the model we consider. Our RG scheme enables future analytical studies of Z(2) LGTs with matter and quantum fluctuations and beyond.

引用

页数：14

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