First-order phase boundaries of the massive 1+1 dimensional Nambu--Jona-Lasinio model with isospin

Abstract

The massive two-dimensional Nambu--Jona-Lasinio model with isospin (isoNJL) is reconsidered in the large $N_c$ limit. We continue the exploration of its phase diagram by constructing missing first-order phase boundaries. At zero temperature, a phase boundary in the plane of baryon and isospin chemical potentials separates the vacuum from a crystal phase. We derive it from the baryon spectrum of the isoNJL model which, in turn, is obtained via a numerical Hartree-Fock (HF) calculation. At finite temperature, a first-order phase boundary sheet is found using a thermal HF calculation. It interpolates smoothly between the zero temperature phase boundary and the perturbative sheet. The calculations remain tractable owing to the assumption that the charged pion condensate vanishes. In that case, most of the calculations can be done with methods developed in the past for solving the massive one-flavor NJL model.

13 pages, 2 tables, 6 figures; v2: typos corrected

References in corpus (4)

• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• Phase structure of the 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Baryons in the large N limit of the massive two-dimensional Nambu-Jona-Lasinio model

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