Strong-coupling analysis of the critical dimensionality of space-time in SU(2) lattice gauge theory

Journal Article · Sun Feb 15 00:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.35.1447· OSTI ID:6924354

Ayala, C; Baig, M

Using high-order strong-coupling developments we have analyzed the phase structure of the SU(2) lattice gauge theory at different space-time dimensionalities, considering the action defined through different representations of the SU(2) group. For the Wilson action, the strong-coupling analysis is able to determine unambiguously the five-dimensional first-order phase transition. We have observed also the persistence of this first-order phase transition at higher dimensions. Strong-coupling methods have been shown to be a valuable instrument to study the behavior at high dimensionalities. In respect to the other group representations, phase transitions of first order are clearly detected for all dimensionalities higher than four. In these cases, the most difficult point is the determination of the critical dimensionality above which phase transitions are present. Only for the spin-2 representation action does a first-order phase transition at three dimensions seem to be present.

• Research Organization: Departament de Fisica Teo-grave-accentrica, Universitat Auto-grave-accentnoma de Barcelona, Bellaterra, Barcelona, Spain
• OSTI ID: 6924354
• Journal Information: Phys. Rev. D; (United States), Vol. 35:4
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
SPACE-TIME
STRONG-COUPLING MODEL
BESSEL FUNCTIONS
FREE ENERGY
GAUGE INVARIANCE
MANY-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
SPIN
SU-2 GROUPS
ANGULAR MOMENTUM
ENERGY
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
SU GROUPS
SYMMETRY GROUPS
THERMODYNAMIC PROPERTIES
645400* - High Energy Physics- Field Theory