Order parameters in a modified lattice gauge theory

Journal Article · Tue Jun 15 00:00:00 EDT 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.3325· OSTI ID:5230417

Polchinski, J

Mack and Petkova, and Yaffe have recently considered a modified lattice gauge theory, in which the 't Hooft operator has an unexpected area law and is not complementary to the Wilson loop operator. We find that this occurs because the modified theory has a conserved flux not present in the usual lattice theory; as a result, it has two pairs of dual order parameters rather than one. The 't Hooft operator, which probes the physics of interest in the weak-coupling, continuum limit, and which is complementary to the Wilson operator, is not the one considered by the earlier authors. We discuss the order parameters at weak and strong coupling, the corresponding topological fluxes, and the implications for other (lattice or continuum) gauge theories.

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• OSTI ID: 5230417
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
NUCLEAR MODELS
ORDER PARAMETERS
QUANTUM FIELD THEORY
SU GROUPS
SYMMETRY GROUPS
TOPOLOGY
WEAK-COUPLING MODEL