Chiral symmetry restoration in the three-dimensional four-fermion model at non-zero temperature and density
Strouthos, Costas
This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/31236
Description
Title
Chiral symmetry restoration in the three-dimensional four-fermion model at non-zero temperature and density
Author(s)
Strouthos, Costas
Issue Date
1999
Doctoral Committee Chair(s)
Kogut, John B.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
chiral symmetry
four-fermion model
non-zero temperature
Quantum Chromodynamics
Language
en
Abstract
The phase structure of the three-dimensional four-fermion model with a Z2 chiral
symmetry at non-zero temperature Tor non-zero 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 non-trivial 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 two-dimensional Ising universality class for the finite
temperature transition. Analytical predictions based on the leading order of the 1/N
expansion at zero temperature and non-zero 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
non-zero T or non-zero μ.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
