Stochastic method for the numerical study of lattice fermions

Journal Article · Mon Jul 19 04:00:00 EDT 1982 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.49.183· OSTI ID:6702507

Kuti, J

A new stochastic method for the numerical study of lattice fermions is presented. Its efficiency is demonstrated on a field-theoretic model in four dimensions with coupled boson and fermion degrees of freedom. The exact fermion propagator is calculated and agrees very accurately with the numerical results of the stochastic procedure on finite lattices of 10/sup 4/ and 8/sup 3/ x 16 sites, respectively. The contribution of fermionic vacuum polarization to mass renormalization is evaluated with precision. The method is directly applicable to quantum chromodynamics.

• Research Organization: Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
• OSTI ID: 6702507
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 49:3; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRELATION FUNCTIONS
EXPECTATION VALUE
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
FUNCTIONS
GREEN FUNCTION
LATTICE FIELD THEORY
MASS RENORMALIZATION
MONTE CARLO METHOD
PROPAGATOR
QUANTUM FIELD THEORY
RENORMALIZATION
STOCHASTIC PROCESSES
VACUUM POLARIZATION