Comparison of lattice gauge theories with gauge groups Z/sub 2/ SU(2)

Journal Article · Sat Dec 01 04:00:00 EST 1979 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(79)90346-4· OSTI ID:5470010

Mack, G; Petkova, V B

We study a model of a pure Yang Mills theory with gauge group SU(2) on a lattice in Euclidean space. We compare it with the model obtained by restricting variables to Z/sub 2/. An inequality relating expectation values of the Wilson loop integral in the two theories is established. It shows that confinement of static quarks is true in our SU(2) model whenever it holds for the corresponding Z/sub 2/-model. The SU(2) model is shown to have high and low temperature phases that are distinguished by a qualitatively different behavior of the 't Hooft disorder parameter.

• Research Organization: II. Institut fuer Theoretische Physik der Universitaet Hamburg, Hamburg, West Germany
• OSTI ID: 5470010
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 123:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
DUALITY
FIELD THEORIES
FLUCTUATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
QUASI PARTICLES
SOLITONS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
VARIATIONS
YANG-MILLS THEORY