Analytic variational method for Hamiltonian lattice gauge theory in 3+1 dimensions

Journal Article · Thu Mar 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.1965· OSTI ID:7003396

Huang, M C ^[1]; Katoot, M W ^[2]

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1. Department of Physics, University of Florida, Gainesville, Florida 32602 (USA)
2. Space Astronomy Laboratory, University of Florida, Gainesville, Florida 32609 (USA)

We present an analytic variational method in 3+1 dimensions for Hamiltonian lattice gauge theory. This method is based on Batrouni's mean-plaquette method and Robson's plaquette space integration. The Abelianized Bianchi identities are used and a detailed study of the number of identities that are needed and the validity of this approximation is given. The variational vacuum we use is the product of single-plaquette wave functions. The gauge group we consider here is SU(2), but the method is valid for any gauge theory. We apply this method to calculate the 0{sup ++} glueball mass, and, in addition, the results of the string tension (scaling is observed) and its roughening transition are presented.

• OSTI ID: 7003396
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:6; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
COMPOSITE MODELS
COSMOLOGY
DIFFERENTIAL EQUATIONS
EQUATIONS
EXTENDED PARTICLE MODEL
GALAXIES
GAUGE INVARIANCE
HARMONICS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICS
NUMERICAL ANALYSIS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUARK MODEL
STRING MODELS
UNIVERSE
WAVE EQUATIONS