Lattice gauge theory and Monte Carlo methods

Technical Report · Tue Nov 01 04:00:00 EST 1988

DOI:https://doi.org/10.2172/6530895· OSTI ID:6530895

Creutz, M

Lattice gauge theory is now the primary non-perturbative technique for quantum field theory. The lattice represents an ultraviolet cutoff, and renormalization group arguments show how the bare coupling must be varied to obtain the continuum limit. Expansions in the inverse of the coupling constant demonstrate quark confinement in the strong coupling limit. Numerical simulation has become the approach to calculating hadronic properties. The basic algorithms for obtaining appropriately weighted gauge field configurations are discussed. Algorithms for treating fermionic fields, which still require considerably more computer time than needed for purely bosonic simulations, are also discussed. Some particularly promising recent approaches are based on global accept-reject steps and should display a rather favorable dependence of computer time on the system volume. 39 refs.

• Research Organization: Brookhaven National Lab., Upton, NY (USA)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6530895
• Report Number(s): BNL-42086; ON: DE89005666
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
HAMILTONIANS
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
PARTITION FUNCTIONS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARKS