Exact ground-state properties of SU(3) Hamiltonian lattice gauge theory

Journal Article · Sun May 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.3001· OSTI ID:5186552

Chin, S A; Long, C; Robson, D

We solve for the exact ground state of SU(3) Hamiltonian lattice gauge theory via the guided-random-walk algorithm. We show that the algorithm is effective in calculating the ground-state energy with excellent precision. By comparing exact and variational ground-state results in the case of SU(2) and SU(3), we further demonstrate that variational calculations based on the independent-plaquette trial function improve with increasing N from N = 2 to N = 3.

• Research Organization: Center for Theoretical Physics, Department of Physics, Texas AandM University, College Station, Texas 77843
• OSTI ID: 5186552
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
COLOR MODEL
COMPOSITE MODELS
ENERGY LEVELS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
GROUND STATES
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
VARIATIONAL METHODS
WAVE FUNCTIONS