Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock

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dc.creatorBoehmer, Christian
dc.creatorFritsch, Ulf
dc.creatorKraus, Sebastian
dc.creatorThies, Michael
dc.date2008-07-16
dc.date.accessioned2026-07-07T11:44:51Z
dc.date.available2026-07-07T11:44:51Z
dc.descriptionThe phase diagram of the massive chiral Gross-Neveu model (the massive Nambu-Jona-Lasinio model in 1+1 dimensions) is constructed. In the large N limit, the Hartree-Fock approach can be used. We find numerically a chiral crystal phase separated from a massive Fermi gas phase by a 1st order transition. Using perturbation theory, we also construct the critical sheet where the homogeneous phase becomes unstable in a 2nd order transition. A tricritical curve is located. The phase diagram is mapped out as a function of fermion mass, chemical potential and temperature and compared with the one of the discrete chiral Gross-Neveu model. As a by-product, we illustrate the crystal structure of matter at zero temperature for various densities and fermion masses.
dc.description12 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/0807.2571
dc.identifierhttp://arxiv.org/abs/0807.2571
dc.identifierPhys.Rev.D78:065043,2008
dc.identifierdoi:10.1103/PhysRevD.78.065043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201696
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titlePhase structure of the massive chiral Gross-Neveu model from Hartree-Fock
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