Monte Carlo study of renormalization in lattice gauge theory

Journal Article · Wed Apr 15 04:00:00 EST 1981 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.1815· OSTI ID:6534412

Creutz, M

Using Monte Carlo methods with SU(2) and U(1) lattice gauge theories, we compare physical ratios of Wilson loops on different length scales. An interesting renormalization-group structure is suggested for the U(1) theory. For the SU(2) case we only see a fixed point at vanishing bare coupling. At this point asymptotic freedom is verified numerically.

• Research Organization: Department of Physics, Brookhaven National Laboratory, Upton, New York 11973
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6534412
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 23:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRELATION FUNCTIONS
COUPLING CONSTANTS
ELECTRODYNAMICS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MONTE CARLO METHOD
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
ULTRAVIOLET DIVERGENCES