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Title:  Chiral symmetry restoration in the threedimensional fourfermion model at nonzero temperature and density 
Author(s):  Strouthos, Costas 
Doctoral Committee Chair(s):  Kogut, John B. 
Department / Program:  Physics 
Discipline:  Physics 
Degree:  Ph.D. 
Genre:  Dissertation 
Subject(s):  chiral symmetry
fourfermion model nonzero temperature Quantum Chromodynamics 
Abstract:  The phase structure of the threedimensional fourfermion model with a Z2 chiral symmetry at nonzero temperature Tor nonzero chemical potential μ is investigated. The main purpose of the study is to serve as an orientation for the more complex problem of the chiral phase transition in Quantum Chromodynamics. It is shown that the critical properties near the finite temperature and zero density transition with a large number of fermion species N in the system can be described by mean field theory. It is also shown both analytically and numerically that the width of the region where nontrivial critical behavior sets in is suppressed by a certain power of 1/ N. At finite N, Monte Carlo simulations confirm the dimensional reduction scenario, which predicts the twodimensional Ising universality class for the finite temperature transition. Analytical predictions based on the leading order of the 1/N expansion at zero temperature and nonzero chemical potential predict a first order transition. Monte Carlo simulations with N = 4 confirm the first order nature of the T = 0 transition. Some lessons are drawn relevant to lattice QCD simulations at nonzero T or nonzero μ. 
Issue Date:  1999 
Genre:  Dissertation / Thesis 
Type:  Text 
Language:  English 
URI:  http://hdl.handle.net/2142/31236 
Other Identifier(s):  4191937 
Rights Information:  ©1999 Strouthos 
Date Available in IDEALS:  20120523 
This item appears in the following Collection(s)

Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois 
Dissertations and Theses  Physics
Dissertations in Physics