Spatial Structure of the Composite Particles in the 2 + 1 Dimensional U(1) Four-Fermi Model at Finite Chemical Potential
Tran, Thao Nguyen
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https://hdl.handle.net/2142/80667
Description
Title
Spatial Structure of the Composite Particles in the 2 + 1 Dimensional U(1) Four-Fermi Model at Finite Chemical Potential
Author(s)
Tran, Thao Nguyen
Issue Date
1999
Doctoral Committee Chair(s)
Kogut, John B.
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Elementary Particles and High Energy
Language
eng
Abstract
I examined the chiral phase transition in a 2 + 1 dimensional, U(1) symmetric, four-fermi model at finite chemical potential and zero temperature. The spatial structure (form factor) of the composite particle formed as a result of the breaking of the chiral symmetry is calculated under the 1/N approximation and is measured on the lattice. The shape and average size of the composite particle is derived from the form factor measurement. It is found that the correlation between the quark and antiquark that comprise the composite particle developed Friedel-type oscillation when the chiral symmetry is restored. The study is of interest to the physics of hadrons at finite density (chemical potential).
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