Lattice gauge theory on a parallel computer

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1987

OSTI ID:5773989

Flower, J W

The results of several numerical simulations of QCD by Monte Carlo lattice gauge theory are presented. Studying the mesonic potential on a 20/sup 4/ lattice, we conclude that asymptotic scaling does not hold over the range 6.1 less than or equal to ..beta.. less than or equal to 6.7, although we are not able to quantify the discrepancies. The effect of discrete rotational symmetry on physical parameters is examined and seems to modify the string tension by 15% at ..beta.. = 6.1, while at ..beta.. = 6.3 the change was less than 1%. The potential between three charges is studied and yields a string tension of .18 GeV/sup 2/, consistent with mesonic calculations and relativised potential models. Contributions to the potential from low-energy string vibrations appear small in the range x less than or equal to .5 fm. We perform energy density measurements in the colour fields surrounding both mesons and baryons, which provide strong evidence in favour of the dual superconductor picture of confinement. It is also suggested that the confining strings in the baryon meet at a central point rather than joining the quarks pairwise. Several algorithms are explored in an attempt to develop simulation methods which are able to directly account for the currents generated by colour sources.

• Research Organization: California Inst. of Tech., Pasadena (USA)
• OSTI ID: 5773989
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
BAG MODEL
COMPOSITE MODELS
ENERGY DENSITY
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MONTE CARLO METHOD
NUMERICAL SOLUTION
PARTICLE MODELS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
ROTATIONAL INVARIANCE
SCALING LAWS