Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models

Details Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models

2011-02-09

arxiv.org/abs/1102.1860v1

Phys.Rev.D83:025001,2011

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 8 pages, 8 figures

Scientific paper

10.1103/PhysRevD.83.025001

We investigate finite-size effects on the phase structure of chiral and difermion condensates at finite temperature and density in the framework of the two-dimensional large-$N$ Nambu-Jona-Lasinio model. We take into account size-dependent effects by making use of $zeta$-function and compactification methods. The thermodynamic potential and the gap equations for the chiral and difermion condensed phases are then derived in the mean-field approximation. Size-dependent critical lines separating the different phases are obtained considering anti-periodic boundary conditions for the spatial coordinate.

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