Microcanonical ensemble formulation of lattice gauge theory

Journal Article · Mon Aug 30 00:00:00 EDT 1982 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.49.613· OSTI ID:6768103

Callaway, D J.E.; Rahman, A

A new formulation of lattice gauge theory without explicit path integrals or sums is obtained by using the microcanonical ensemble of statistical mechanics. Expectation values in the new formalism are calculated by solving a large set of coupled, nonlinear, ordinary differential equations. The average plaquette for compact electrodynamics calculated in this fashion agrees with standard Monte Carlo results. Possible advantages of the microcanonical method in applications to fermionic systems are discussed.

• Research Organization: High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439
• OSTI ID: 6768103
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 49:9
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
GAUGE INVARIANCE
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
FERMIONS
FEYNMAN PATH INTEGRAL
MONTE CARLO METHOD
STATISTICAL MECHANICS
EQUATIONS
FIELD THEORIES
INTEGRALS
INVARIANCE PRINCIPLES
MECHANICS
QUANTUM FIELD THEORY
645400* - High Energy Physics- Field Theory
645201 - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory