Confinement for all couplings in a Z2 lattice gauge theory

被引：1

作者：

Orland, P. ^{[1
,2
]}

机构：

[1] CUNY Bernard M Baruch Coll, Dept Nat Sci, 17 Lexington Ave, New York, NY 10010 USA

[2] CUNY, Phys Program, Grad Ctr, New York, NY 10016 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2020年 / 53卷 / 13期

关键词：

confinement; lattice gauge theory; statistical mechanics; Griffiths inequalities; REFLECTION POSITIVITY; PHASE-TRANSITIONS; RANGE;

D O I：

10.1088/1751-8121/ab766a

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For a particular lattice gauge theory with gauge invariance there is confinement for all couplings. The gauge fields, on lattice links, lie in the closed interval . It is proved that the expectation value of a gauge-invariant loop operator decays as the exponential of minus the area.

引用

页数：9

共 50 条

[21] Correspondence between the Hamiltonian cycle problem and the quantum Z2 lattice gauge theory
Cui, Xiaopeng
Shi, Yu
EPL, 2023, 144 (04)
[22] FERMION REPRESENTATION FOR THE Z2 LATTICE GAUGE-THEORY IN 2+1 DIMENSIONS
FRADKIN, E
SREDNICKI, M
SUSSKIND, L
PHYSICAL REVIEW D, 1980, 21 (10) : 2885 - 2891
[23] FINITE-TEMPERATURE ANALYSIS OF SU(2)/Z2 LATTICE GAUGE-THEORY
BURDEN, CJ
NUCLEAR PHYSICS B, 1985, 257 (05) : 663 - 694
[24] COMPARISON OF LATTICE GAUGE-THEORIES WITH GAUGE GROUPS Z2 AND SU(2)
MACK, G
PETKOVA, VB
ANNALS OF PHYSICS, 1979, 123 (02) : 442 - 467
[25] Scar states in deconfined Z2 lattice gauge theories
Aramthottil, Adith Sai
Bhattacharya, Utso
Gonzalez-Cuadra, Daniel
Lewenstein, Maciej
Barbiero, Luca
Zakrzewski, Jakub
PHYSICAL REVIEW B, 2022, 106 (04)
[26] Electric-magnetic duality and Z2 symmetry enriched Abelian lattice gauge theory
Jia, Zhian
Kaszlikowski, Dagomir
Tan, Sheng
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (25)
[27] Emergence of Gauss' law in a Z2 lattice gauge theory in 1+1 dimensions
Frank, Jernej
Huffman, Emilie
Chandrasekharan, Shailesh
PHYSICS LETTERS B, 2020, 806
[28] Topological defect junctions in 4-dimensional pure Z2 lattice gauge theory
Nagoya, Y.
PROCEEDINGS OF THE EAST ASIA JOINT SYMPOSIUM ON FIELDS AND STRINGS 2021, 2022, : 111 - 119
[29] Matrix product representation of gauge invariant states in a Z2 lattice gauge theory -: art. no. 022
Sugihara, T
JOURNAL OF HIGH ENERGY PHYSICS, 2005, (07):
[30] Investigation of the critical behavior of the critical point of the Z2 gauge lattice
Blum, Y
Coyle, PK
Elitzur, S
Rabinovici, E
Rubinstein, H
Solomon, S
NUCLEAR PHYSICS B, 1998, 535 (03) : 731 - 738

← 1 2 3 4 5 →