Variational estimate of the vacuum state of the SU(2) lattice gauge theory with a disordered trial wave function

Journal Article · Sun Apr 15 04:00:00 EST 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.29.1791· OSTI ID:6897484

Heys, D W; Stump, D R

The variational principle is used to estimate the ground state of the Kogut-Susskind Hamiltonian of the SU(2) lattice gauge theory, with a trial wave function for which the magnetic fields on different plaquettes are uncorrelated. This trial function describes a disordered state. The energy expectation value is evaluated by a Monte Carlo method. The variational results are compared to similar results for a related Abelian gauge theory. Also, the expectation value of the Wilson loop operator is computed for the trial state, and the resulting estimate of the string tension is compared to the prediction of asymptotic freedom.

• Research Organization: Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824
• OSTI ID: 6897484
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 29:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MAGNETIC FIELDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
STRING MODELS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
VACUUM STATES
VARIATIONAL METHODS
WAVE FUNCTIONS