Monte Carlo study of quantized SU(2) gauge theory

Journal Article · Tue Apr 15 00:00:00 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), Vol. 21:8
• Country of Publication: United States
• Language: English

Related Subjects

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