Monte Carlo calculations in lattice gauge theory

Journal Article · Thu Oct 01 04:00:00 EDT 1981 · AIP Conf. Proc.; (United States)

DOI:https://doi.org/10.1063/1.33122· OSTI ID:6633693

Creutz, M

I review recent progress in numerical studies of the Feynman path integral for non-Abelian gauge theories. In the quarkless theory, numerical relations between the glueball mass, the confinement potential, and the scale of asymptotic freedom have been obtained. Renormalization group analysis has confirmed that the Gell-Mann Low function for the lattice SU(2) theory of Wilson has no non-trivial zeros. New phase transitions have been found in SU(4) and SU(5) gauge theories. These may be an artifact of the Wilson form for the action.

• Research Organization: Brookhaven National Laboratory, Upton, New York 11973
• OSTI ID: 6633693
• Journal Information: AIP Conf. Proc.; (United States), Journal Name: AIP Conf. Proc.; (United States) Vol. 74:1; ISSN APCPC
• Country of Publication: United States
• Language: English

Related Subjects

645301 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
GAUGE INVARIANCE
INTEGRALS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MONTE CARLO METHOD
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS