Monopoles and U(1) lattice gauge theory

Thesis/Dissertation · Sun Jan 01 04:00:00 EST 1989

OSTI ID:5178369

Wensley, R J

In this thesis, the author describes calculations done in U(1) lattice gauge theory. After reviewing general concepts for doing calculations using quantum field theory on a space-time lattice, he discusses the presence of topological objects, which correspond to local minima of the action. These topological objects are identified as magnetic monopoles. Using configurations of monopoles identified in gauge field simulations in four dimensions, he studies the behavior of the monopoles near the confinement-deconfinement transition. In order to understand how quantitative calculations may be performed using the monopoles, I have performed numerical simulations of the gauge fields in three dimensions and extracted monopole configurations. Using a calculational scheme developed in this thesis, these monopole configurations are used to calculate the static potential between two quarks. The results are compared with answers obtained using semi-classical methods.

• Research Organization: Illinois Univ., Urbana, IL (United States)
• OSTI ID: 5178369
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
ELEMENTARY PARTICLES
EVALUATION
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
LATTICE FIELD THEORY
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MATHEMATICS
MONOPOLES
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUARKS
SEMICLASSICAL APPROXIMATION
SIMULATION
SPACE-TIME
TOPOLOGY
UNIFIED GAUGE MODELS