A study of the chiral phase transition in the non-linear sigma model
Dreher, Patrick
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https://hdl.handle.net/2142/18895
Description
Title
A study of the chiral phase transition in the non-linear sigma model
Author(s)
Dreher, Patrick
Issue Date
1991
Doctoral Committee Chair(s)
Kogut, John B.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
chiral phase transition
non-linear sigma model
finite temperature transition
numerical simulations
coupling
Language
en
Abstract
The finite temperature chiral phase transition is studied using the three dimensional nonlinear
sigma model. Numerical simulations with the U(N) x U(N) and SU(N) x 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)xU(N) and SU(N)xSU(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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