Abstract
We analyse the hadron/quark phase transition described by the Nambu-Jona-Lasinio (NJL) model [quark phase] and the extended Nambu-Jona-Lasinio model (eNJL) [hadron phase]. While the original formulation of the NJL model is not capable of describing hadronic properties due to its lack of confinement, it can be extended with a scalar-vector interaction so it exhibits this property, the so-called eNJL model. As part of this analysis, we obtain the equations of state within the SU(2) versions of both models for the hadron and the quark phases and determine the binodal surface.
Highlights
Quark Phase MatterThe quark phase is described by a SU(2) NJL model lagrangian, including a vectorisoscalar term, given by 1
Given the importance of the study of the phases and the phase separation boundaries, we propose an investigation of the hadron/quark phase transition within a two phase model
Binodals The QCD phase-diagram is characterized by potentially multiple phases, whose phase separation boundaries are referred as binodals
Summary
The quark phase is described by a SU(2) NJL model lagrangian, including a vectorisoscalar term, given by 1. L = ψ(iγμ∂μ − m0)ψ + GS[(ψψ)2 + (ψiγ5τ ψ)2] − GV (ψγμψ)[2 ]. Ψ represents the quark field, m0 the quark bare mass, and GS and GV are coupling constants that are chosen by fitting the pion mass mπ = 135.0 MeV and decay constant fπ = 92.4 MeV. As the theory is non-renormalizable, a momentum cutoff Λ is employed, which acts as a new parameter
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