Issue |
EPL
Volume 90, Number 1, June 2010
|
|
---|---|---|
Article Number | 11001 | |
Number of page(s) | 6 | |
Section | The Physics of Elementary Particles and Fields | |
DOI | https://doi.org/10.1209/0295-5075/90/11001 | |
Published online | 05 May 2010 |
Phase structure of difermion condensates in the Nambu–Jona-Lasinio model: The size-dependent properties
1
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: luciano.abreu@ufba.br
Received:
29
January
2010
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
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