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Kogut, John B. Dreher, Patrick 2011-04-27T16:41:30Z 2011-04-27T16:41:30Z 10000-01-01 1991 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. Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-04-27T16:41:30Z No. of bitstreams: 1 1991_dreher.pdf: 5152653 bytes, checksum: 2131e0114f7b09af720a555acd30bab2 (MD5) Made available in DSpace on 2011-04-27T16:41:30Z (GMT). No. of bitstreams: 1 1991_dreher.pdf: 5152653 bytes, checksum: 2131e0114f7b09af720a555acd30bab2 (MD5) Previous issue date: 1991 Restriction data tranferred 2014-07-01T11:12:19-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-04-27T16:41:30Z Item is restricted indefinitely. Thesis U of I Only 3476418 http://hdl.handle.net/2142/18895 en 1991 Patrick Dreher chiral phase transition non-linear sigma model finite temperature transition numerical simulations coupling A study of the chiral phase transition in the non-linear sigma model Dissertation / Thesis text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.