Nonperturbative quark mass and coupling renormalization in two flavor QCD.

Nonperturbative bare quark mass and coupling renormalization is studied for two flavor quantum chromodynamics (QCD). In particular, the β function for the case of Kogut-Susskind quarks is determined over the parameter space of existing lattice (spectrum) simulations from the existing spectrum data. This β function is combined with a series of finite temperature lattice simulations (N(t) = 4) to calculate the interaction measure, ε-3p, which together with the pressure yields the thermal equation of state. A method of computing the asymmetry, or Karsch, coefficients, is also given. These coefficients give the parameter renormalizations for anisotropic lattices. However, for the three points in parameter space that we studied (one using Wilson fermions and two using Kogut-Susskind fermions), a clear determination of the asymmetry coefficients could not be made because of the remarkable fact that ratios of masses measured in different directions on lattices with anisotropic couplings were Euclidean invariant.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Physics

Grantor dc:publisher

The University of Arizona.

Year dc:date.issued

1995

Author dc:creator

• Blum, Thomas Charles.

Committee members dc:contributor.committeemember

• Donahue, Douglas
• Sarcevic, Ina
• Shupe, Michael
• Stein, Daniel

Statement dc:rights

• Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10150/187168

OAI identifier oai:identifier

oai:repository.arizona.edu:10150/187168