The coherent state variational algorithm and the QCD deconfinement phase transition

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

OSTI ID:6802934

Somsky, W R

This thesis describes the coherent state variational algorithm, its implementation in a recently completed set of computer programs, and its application to the study of the QCD deconfinement phase transition. The coherent state variational algorithm is a computational method for studying the large-N limit of non-abelian gauge theories by direct exploitation of the classical nature of this limit. Unlike Monte Carlo methods, this technique is applicable to both euclidean and hamiltonian formulations of lattice gauge theories and is deterministic, rather than statistical, in nature. The first part of this thesis presents the theoretical basis of the coherent state algorithm and describes the application of the algorithm, to non-abelian lattice gauge theories. The second part describes the symbolic methods involved in the computer implementation of the coherent state algorithm and gives an overview of the programs which form the full coherent state implementation. The final part of this thesis discusses the application of the coherent state algorithm to the study of the QCD deconfinement phase transition at large N. The results obtained are indicative of a second-order transition for lattices of temporal extent N{sub {nu}} = 1 and N{sub {tau}} = 2 in both three and four space-time dimensions.

• Research Organization: Princeton Univ., NJ (USA)
• OSTI ID: 6802934
• Country of Publication: United States
• Language: English

Related Subjects

645000 -- High Energy Physics
657000* -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
CALCULATION METHODS
COMPUTER CODES
DATA
FIELD THEORIES
INFORMATION
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
NUMERICAL DATA
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
THEORETICAL DATA
VARIATIONAL METHODS