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

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dc.creatorAbreu, L. M.
dc.creatorGomes, M.
dc.creatorda Silva, A. J.
dc.date2006-10-10
dc.date.accessioned2026-07-07T10:26:06Z
dc.date.available2026-07-07T10:26:06Z
dc.descriptionThe 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.
dc.description12 pages, 3 figures, revtex4
dc.identifierhttps://arxiv.org/abs/hep-th/0610111
dc.identifierhttp://arxiv.org/abs/hep-th/0610111
dc.identifierPhys.Lett.B642:551-562,2006
dc.identifierdoi:10.1016/j.physletb.2006.10.015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176766
dc.subjectHigh Energy Physics - Theory
dc.titleFinite-size effects on the phase structure of the Nambu-Jona-Lasinio model
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