Hamiltonian of SU(2) lattice gauge theory in approximate tridiagonal form

Journal Article · Mon Aug 01 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.2293· OSTI ID:7025877

Hollenberg, L C.L. ^[1]

---

1. School of Physics, Research Centre for High Energy Physics, University of Melbourne, Parkville, Victoria 3052 (Australia)

Employing Hamiltonian moments of SU(2) lattice gauge theory, with respect to the strong coupling vacuum, the matrix elements of the Lanczos tridiagonal form are written down from the plaquette expansion to order 1/[ital N][sub [ital p]][sup 2] in the number of plaquettes, [ital N][sub [ital p]]. The consequences of this approximate tridiagonal form are studied by computing the vacuum energy density and the specific heat in the infinite lattice limit, for strong to weak coupling. The results at this order appear to reach beyond the strong to weak transition point at [ital g][sub [ital c]][sup 2][approx]2.0, as indicated by the peaking behavior of the specific heat, down to [ital g][sup 2][approx] [radical]2 .

• OSTI ID: 7025877
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:3; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ENERGY DENSITY
FIELD THEORIES
HAMILTONIANS
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
PARTICLE MODELS
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPECIFIC HEAT
STRONG-COUPLING MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
THERMODYNAMIC PROPERTIES
UNIFIED GAUGE MODELS
VACUUM STATES