Monte Carlo methods in lattice gauge theories

Thesis/Dissertation · Sat Jan 01 04:00:00 EST 1983

OSTI ID:6444164

Otto, S W

The mass of the O/sup +/ glueball for SU(2) gauge theory in 4 dimensions is calculated. This computation was done on a prototype parallel processor and the implementation of gauge theories on this system is described in detail. Using an action of the purely Wilson form (tract of plaquette in the fundamental representation), results with high statistics are obtained. These results are not consistent with scaling according to the continuum renormalization group. Using actions containing higher representations of the group, a search is made for one which is closer to the continuum limit. The choice is based upon the phase structure of these extended theories and also upon the Migdal-Kadanoff approximation to the renormalizaiton group on the lattice. The mass of the O/sup +/ glueball for this improved action is obtained and the mass divided by the square root of the string tension is a constant as the lattice spacing is varied. The other topic studied is the inclusion of dynamical fermions into Monte Carlo calculations via the pseudo fermion technique. Monte Carlo results obtained with this method are compared with those from an exact algorithm based on Gauss-Seidel inversion. First applied were the methods to the Schwinger model and SU(3) theory.

• Research Organization: California Inst. of Tech., Pasadena (USA)
• OSTI ID: 6444164
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRODYNAMICS
FERMIONS
FIELD THEORIES
GLUEBALLS
LATTICE FIELD THEORY
LIE GROUPS
MASS
MASS SPECTRA
MATHEMATICAL MODELS
MONTE CARLO METHOD
PARTICLE MODELS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SCALING LAWS
SPECTRA
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
WILSON LOOP