Mean-plaquette treatment of the mixed fundamental-adjoint SU(2) lattice gauge theory

Journal Article · Sat Sep 15 04:00:00 EDT 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.30.1271· OSTI ID:6465868

Dagotto, E; Moreo, A

Any statistical mean value in a lattice gauge theory without matter may be written as an integral over plaquette variables with the constraint of the Bianchi identity for each cube. A mean-plaquette approximation can thus be developed. Using this technique for a mixed fundamental-adjoint SU(2) model we reproduce all the features of the phase diagram given by Monte Carlo simulations including the existence of an end point near the crossover region on the fundamental axis.

• Research Organization: Centro Atomico Bariloche, Comision Nacional de Energia Atomica, Argentina and Instituto Balseiro, Comision Nacional de Energia Atomica and Universidad Nacional de Cuyo, 8400-Bariloche, Argentina
• OSTI ID: 6465868
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 30:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIAGRAMS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MONTE CARLO METHOD
PARTITION FUNCTIONS
PHASE DIAGRAMS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SO GROUPS
SO-3 GROUPS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS