A study of the chiral phase transition in the nonlinear sigma model

The finite temperature chiral phase transition is studied using the three dimensional non-linear sigma model. Numerical simulations with the U(N) $\times$ U(N) and SU(N) $\times$ SU(N) flavor symmetries for both two and three flavors were examined to determine the order of the phase transition. The data from the simulations in the appropriate limits was verified with calculations from the strong and weak coupling expansions. A variety of numerical techniques, including metastability analysis, reduced cumulant of the energy, and finite sized scaling were employed to determine the transition for both flavors using the U(N) $\times$ U(N) and SU(N) $\times$ SU(N) flavor symmetries. The results of these simulations for the finite temperature chiral phase transition and chiral symmetry restoration are summarized, and a discussion of the implications for heavy-ion collider physics and cosmology is presented.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Dreher, Patrick

Contributors dc:contributor

• Kogut, John B.

• Physics, Elementary Particles and High Energy

Statement dc:rights

• Copyright 1991 Dreher, Patrick

Language dc:language

eng

Identifier

AAI9210788
(UMI)AAI9210788

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/23132