Finite-size effects on the phase structure of the Nambu–Jona-Lasinio model

The Nambu–Jona-Lasinio (NJL) model is one of the most frequently used four-fermion models in the study of dynamical symmetry breaking. In particular, the NJL model is convenient for that analysis at finite temperature, chemical potential and size effects, as has been explored in the last decade. Wit...

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Bibliographic Details
Published in:Physics letters. B 2006-11, Vol.642 (5-6), p.551-562
Main Authors: Abreu, L.M., Gomes, M., da Silva, A.J.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Nuclear physics
Physics
The physics of elementary particles and fields
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Summary:The Nambu–Jona-Lasinio (NJL) model is one of the most frequently used four-fermion models in the study of dynamical symmetry breaking. In particular, the NJL model is convenient for that analysis at finite temperature, chemical potential and size effects, as has been explored in the last decade. With this motivation, we investigate the finite-size effects on the phase structure of the NJL model in D=3 Euclidean dimensions, in the situations that one, two and three dimensions are compactified. In this context, we employ the zeta-function and compactification methods to calculate the effective potential and gap equation. The critical lines that separate trivial and non-trivial fermion mass phases in a second order transition are obtained. We also analyze the system at finite temperature, considering the inverse of temperature as the size of one of the compactified dimensions.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2006.10.015