Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-08-21
Commun.Theor.Phys.41:247-251,2004
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, no figure
Scientific paper
By means of critical behaviors of the dynamical fermion mass in four-fermion interaction models, we have shown by explicit calculations that when T=0 the particle density will have a discontinuous jumping across the critical chemical potential $\mu_c$ in 2D and 3D Gross-Neveu (GN) model and these physically explain the first order feature of corresponding symmetry restoring phase transitions. For second order phase transitions in 3D GN model when $T\to 0$ and in 4D Nambu-Jona-Lasinio (NJL) model when T=0, it has been proven that the particle density itself will be continuous across $\mu_c$ but its derivative over the chemical potential $\mu$ will have a discontinuous jumping. The results give a physical explanation of implications of the tricritical point $(T,\mu)=(0,\mu_c)$ in 3D GN model. The discussions also show effectiveness of the critical analysis approach of phase transitions.
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