Monte Carlo study of quantized SU(2) gauge theory

Journal Article · Tue Apr 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.2308· OSTI ID:5458175

Creutz, M

Using Monte Carlo techniques, we evaluate path integrals for pure SU(2) gauge fields. Wilson's regularization procedure on a lattice of up to 10/sup 4/ sites controls ultraviolet divergences. Our renormalization prescription, based on confinement, is to hold fixed the string tension, the coefficient of the asymptotic linear potential between sources in the fundamental representation of the gauge group. Upon reducing the cutoff, we observe a logarithmic decrease of the bare coupling constant in a manner consistent with the perturbative renormalization-group prediction. This supports the coexistence of confinement and asymptotic freedom for quantized non-Abelian gauge fields.

• Research Organization: Department of Physics, Brookhaven National Laboratory, Upton, New York 11973
• OSTI ID: 5458175
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
COMPOSITE MODELS
COUPLING CONSTANTS
ELECTRODYNAMICS
EXTENDED PARTICLE MODEL
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
INTEGRALS
INTERACTIONS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MONTE CARLO METHOD
PARTICLE INTERACTIONS
PARTICLE MODELS
PERTURBATION THEORY
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
RENORMALIZATION
SPACE-TIME
STRING MODELS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
ULTRAVIOLET DIVERGENCES
YANG-MILLS THEORY