Algorithms for fully interacting lattice gauge theory

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1988

OSTI ID:5149040

Sowers, Jr, G F

The numerical simulation of fully interacting lattice gauge theory is one of the most computationally demanding problems in physics due to the anti-commuting nature of fermion fields. One approach to the problem uses stochastic matrix inversion. Several substantial new improvements to this technique have been discovered. One of the improvements is obtained by solving an intricate counting problem. The method is tested on a two dimensional version of QED known as the massive Schwinger model. The results indicate that the algorithm is effective in computing the properties of fully interacting fermions. The mass extraction technique allowed by the algorithm permits the computation of particle masses in the light mass regime inaccessible by conventional techniques. One result obtained is that the quenched approximation is nearly exact in two dimensional QED, contrary to some theoretical predictions. The stochastic algorithm avoids many of the systematic errors associated with fermion methods currently in use for QCD. With the advent of large scale multi-processing computers, it can become competitive, if not superior, in terms of speed as well. The successes of the techniques presented in this thesis offer a reasonable prospect of non-perturbative solutions of fully interacting field theories.

• Research Organization: Colorado Univ., Boulder, CO (USA)
• OSTI ID: 5149040
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
ARRAY PROCESSORS
COMPUTERIZED SIMULATION
ELECTRODYNAMICS
FERMIONS
FIELD THEORIES
LATTICE FIELD THEORY
MASS
MATHEMATICAL LOGIC
MATHEMATICS
NUMERICAL ANALYSIS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SCHWINGER-TOMONAGA FORMALISM
SIMULATION
STOCHASTIC PROCESSES
TESTING