Lack of confinement in SU(2) lattice gauge theory with an unbounded action

Journal Article · Wed Aug 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.1223· OSTI ID:6415107

Grady, M ^[1]

---

1. Department of Physics, State University of New York College at Fredonia, Fredonia, NY (USA)

Numerical simulations of SU(2) lattice gauge theory are performed using an action which has the same continuum limit as the Wilson action, but which is infinite for negative values of the plaquette variable, and therefore unbounded from above. The weak-coupling behavior matches that of the Wilson action theory, but they differ markedly at strong coupling. The interquark potential at all couplings is well fit by a logarithmically modified Coulomb potential, in concert with asymptotic freedom. Wilson loops are finite in the strong-coupling limit, suggesting that the theory reaches a finite renormalized infrared fixed point, possibly without ever entering a linear confining phase. A likely reason for the difference in the theories is that single-plaquette vortices and monopoles are absent in the alternative formulation, although such structures may still occur at larger scales.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 6415107
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
ELECTRIC CHARGES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
INFRARED DIVERGENCES
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTICLE MODELS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE-TIME
STRONG-COUPLING MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
WEAK-COUPLING MODEL
WILSON LOOP