Hamiltonian formulation of Palumbo's noncompact lattice gauge theory
Journal Article
·
· Physical Review, D (Particles Fields); (United States)
- Institut fuer Theoretische Kernphysik, Universitaet Bonn, Nussallee 14-16, D-5300 Bonn (Germany)
- Max Planck Institut fuer Kernphysik, P.O.B. 10 39 80, D-6900 Heidelberg (Germany) Departement de Physique, Universite Laval, Quebec, G1K 7P4 (Canada)
We analyze Palumbo's noncompact, manifestly gauge-invariant, lattice gauge theory. Via the transfer matrix we construct from Palumbo's action the corresponding Hamiltonian. In the classical continuum limit we recover the Kogut-Susskind Hamiltonian. We also study the confinement structure of the theory by computing the Wilson loop in the strong coupling regime. We find an area law behavior for both U(1) and SU(2) gauge theory in that regime.
- OSTI ID:
- 5019637
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:7; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFINEMENT
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
STRONG-COUPLING MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
WILSON LOOP
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFINEMENT
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
STRONG-COUPLING MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
WILSON LOOP