Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-10-03
Commun.Theor.Phys.40:67-72,2003
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, ReVTeX, no figure, contents of NJL model have been taken off and will be stated separately elsewhere
Scientific paper
By critical analyses of the order parameter of symmetry breaking, we have researched the phase transitions at high density in D=2 and D=3 Gross-Neveu (GN) model and shown that the gap equation obeyed by the dynamical fermion mass has the same effectivenesss as the effective potentials for such analyses of all the second order and some special first order phase transitions. In the meantime we also further ironed out a theoretical divergence and proven that in D=3 GN model a first order phase transition does occur in the case of zero temperature and finite chemical potential.
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