Phase Structure of a Four- and Eight-Fermion Interaction Model at Finite Temperature and Chemical Potential in Arbitrary Dimensions

Abstract

The phase structure of a four- and eight-fermion interaction model is investigated at finite temperature and chemical potential in arbitrary space-time dimensions, $2\le D<4$. The effective potential and the gap equation are calculated in the leading order of the 1/N expansion. If the first order phase transition takes place, the phase boundary dividing the symmetric and the broken phase is modified by the eight-fermion interaction.

20 pages, 26 figures; revised argument and added reference for section 5

References in corpus (2)

• Lowering the critical temperature with eight-quark interactions
• $\pi$ and $\sigma$ mesons at finite temperature and density in the NJL model with dimensional regularization