Spatial Structure of the Composite Particles in the 2 + 1 Dimensional U(1) Four-Fermi Model at Finite Chemical Potential

95 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.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).U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD