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 Title: A study of the chiral phase transition in the nonlinear sigma model Author(s): Dreher, Patrick Doctoral Committee Chair(s): Kogut, John B. Department / Program: Physics Discipline: Physics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Physics, Elementary Particles and High Energy 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. Issue Date: 1991 Type: Text Language: English URI: http://hdl.handle.net/2142/23132 Rights Information: Copyright 1991 Dreher, Patrick Date Available in IDEALS: 2011-05-07 Identifier in Online Catalog: AAI9210788 OCLC Identifier: (UMI)AAI9210788
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