Universality conditions for the Lorentz invariance of the Wilson loop in the deconfining phase of the Villain gauge theory

Journal Article · Thu Sep 15 04:00:00 EDT 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.28.1515· OSTI ID:5810599

Gupte, N

We have performed gauge-invariant calculations for a four-dimensional Villain field theory where each orientation of the elementary plaquette carries a different weight E/sub munu/. There are thus six possible E's in four dimensions. This general theory is interesting because the presence of six E's gives us an insight into universality arguments for four-dimensional gauge theories. It is not necessary that the field theory be Lorentz invariant in the presence of six coupling constants E. It may be necessary to impose some restriction on the six E/sub munu/'s to make the field theory Lorentz invariant. In this case we would say that ''conditional universality'' holds. We say that the theory satisfies ''unconditional universality'' if Lorentz invariance holds even if no restrictions are placed on the six E's. We obtain an expression for the Wilson loop in the nonconfining phase of the Villain gauge theory. We find that the Wilson loop is Lorentz invariant despite the fact that no restrictions are placed on the six E's.

• Research Organization: Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York, 11794
• OSTI ID: 5810599
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 28:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
COUPLING CONSTANTS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
LORENTZ INVARIANCE
MONTE CARLO METHOD
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SPIN
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
WILSON LOOP