Phase structure of difermion condensates in the Nambu–Jona-Lasinio model: The size-dependent properties
Instituto de Física, Universidade Federal da Bahia - 40210-340, Salvador, BA, Brazil
2 Centro Brasileiro de Pesquisas Físicas, MCT - 22290-180, Rio de Janeiro, RJ, Brazil
Corresponding author: firstname.lastname@example.org
Accepted: 30 March 2010
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.
PACS: 11.10.Kk – Field theories in dimensions other than four / 11.30.Qc – Spontaneous and radiative symmetry breaking / 11.10.Wx – Finite-temperature field theory
© EPLA, 2010