Phase structure of difermion condensates in the Nambu–Jona-Lasinio model: The size-dependent properties

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Published 5 May 2010 Europhysics Letters Association
, , Citation L. M. Abreu et al 2010 EPL 90 11001 DOI 10.1209/0295-5075/90/11001

0295-5075/90/1/11001

Abstract

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

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10.1209/0295-5075/90/11001