Exact ground-state properties of the SU(2) Hamiltonian lattice gauge theory

Journal Article · Sat Jun 15 04:00:00 EDT 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.3201· OSTI ID:5547209

Chin, S A; van Roosmalen, O S; Umland, E A; Koonin, S E

The SU(2) Hamiltonian lattice gauge theory is shown explicitly to be equivalent to a nonrelativistic quantum many-body problem in S/sup 3/. By exploiting this equivalence, a many-body Monte Carlo algorithm is devised to solve for its ground-state properties. To the extent that a trial wave function consisting of a product of single-plaquette functions is a good approximation to the exact ground state, the present Monte Carlo method is shown to be an efficient means of calculating the ground-state energy with high precision.

• Research Organization: Department of Physics, University of California at Los Angeles, Los Angeles, California 90024
• DOE Contract Number: AC02-76ER03074
• OSTI ID: 5547209
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:12; 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
ENERGY LEVELS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GROUND STATES
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LATTICE FIELD THEORY
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
WAVE FUNCTIONS