SU(2) lattice gauge theory and the convergence of the t expansion

Journal Article · Thu Oct 15 04:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.2553· OSTI ID:6145160

Mathews, G J; Snyderman, N J; Bloom, S D

We have extended the t expansion of Horn and Weinstein to higher order for Hamiltonian SU(2) lattice gauge theory. We have calculated connected matrix elements up to /sup c/ in the vacuum sector and /sup c/ in the string sector. These data are then utilized to compute the 0/sup ++/ glueball mass M, the string tension sigma, and their ratio R = M/sup 2//sigma. We find evidence for the convergence of the t expansion in that the calculations are improved by including higher-order terms. R appears to approach a constant value (M/sigma/sup 1/2/approx. =3.3) at weak coupling, which is consistent with Euclidean lattice Monte Carlo results.

• Research Organization: University of California, Lawrence Livermore National Laboratory, Livermore, California 94550
• OSTI ID: 6145160
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
COUPLING CONSTANTS
EIGENFUNCTIONS
EUCLIDEAN SPACE
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GLUEBALLS
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MASS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRIX ELEMENTS
MONTE CARLO METHOD
NUCLEAR MODELS
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
RIEMANN SPACE
SPACE
STRING MODELS
STRONG-COUPLING MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
VACUUM STATES
WEAK-COUPLING MODEL