Finite-size scaling and asymptotic freedom of the SU(2) lattice gauge model

Journal Article · Wed Jul 15 04:00:00 EDT 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.24.548· OSTI ID:6454218

Nauenberg, M; Schalk, T; Brower, R

The dependence of the plaquette energy on lattice size L/sup 4/ for the four-dimensional SU(2) lattice gauge model is obtained in the crossover region by Monte Carlo calculations for L = 4 to 10. Extending finite-size scaling theory to non-Abelian gauge models, a fit to the data verifies the validity of scaling and asymptotic freedom. The value obtained for the coefficient ..gamma../sub 0/ in the beta function, corresponding to the one-loop term in perturbation theory, is ..gamma../sub 0/ = 0.041, in good agreement with the result of SU(2) gauge field theory, ..gamma../sub 0/ = 11/24..pi../sup 2/ = 0.046... . We estimate an upper bound to the glueball mass mapprox. =1.2..sqrt..kappa-bar where kappa is the string tension.

• Research Organization: Santa Cruz Institute for Particle Physics, University of California, Santa Cruz, California 95064
• OSTI ID: 6454218
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 24:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CORRELATION FUNCTIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MONTE CARLO METHOD
PERTURBATION THEORY
QUANTUM FIELD THEORY
RENORMALIZATION
SCALING LAWS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS