A study of the chiral phase transition in the nonlinear sigma model
Dreher, Patrick
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https://hdl.handle.net/2142/23132
Description
Title
A study of the chiral phase transition in the nonlinear sigma model
Author(s)
Dreher, Patrick
Issue Date
1991
Doctoral Committee Chair(s)
Kogut, John B.
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Elementary Particles and High Energy
Language
eng
Abstract
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.
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