T expansion and SU(3) lattice gauge theory

Journal Article · Thu May 15 04:00:00 EDT 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.3011· OSTI ID:5764255

van den Doel, C P; Horn, D

This paper presents the first results obtained by applying the t expansion to the case of an SU(3) lattice gauge theory in 3+1 space-time dimensions. We apply to this problem the same techniques which have been successfully used in the analysis of the SU(2) theory. We test their effectiveness first on the one-plaquette SU(3) problem, and conclude that even a moderate series in t suffices to reach the weak-coupling domain. We then compute the t expansion of the vacuum energy density to order t/sup 8/ and find from our analysis the behavior of this quantity as a function of the coupling constant. From the same series we obtain the mass M of the lowest-lying 0/sup + +/ glueball to order t/sup 6/. Evaluating the string tension sigma to the same order we construct the ratio R = M/sup 2//sigma which allows us to obtain a dimensional result for M which is consistent with Monte Carlo analyses.

• Research Organization: School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv, Israel
• OSTI ID: 5764255
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GLUEBALLS
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MONTE CARLO METHOD
NUCLEAR MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
WEAK-COUPLING MODEL