Second and first order phase transition in three dimension Gross-Neveu model

Details Second and first order phase transition in three dimension Gross-Neveu model Second and first order phase transition in three dimension Gross-Neveu model

2003-08-02

arxiv.org/abs/hep-th/0308016v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, no figure, A report at Academic Annual Meeting of Chinese Association of High Energy Physics, Oct. 30-Nov.3, 2002, Xi

Scientific paper

Symmetry restoring phase transitions in three dimension Gross-Neveu model are shown to be second order at finite temperature $T$ and first order at T=0 and finite chemical potential $\mu$ by critical analysis of the dynamical fermion mass based on the gap equation. The latter is further verified by effective potential analysis. The resulting tricritical point is $(T,\mu)=(0,m(0))$, where $m(0)$ is the dynamical fermion mass at $T=\mu=0$. Physical difference between the above second and first order phase transition is illustrated by means of variations of thermodynamical particle density.

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