Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model

Details Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model

2009-06-29

arxiv.org/abs/0906.5295v1

Phys.Rev.D80:074025,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 11 figures

Scientific paper

10.1103/PhysRevD.80.074025

We discuss inhomogeneous ground states of the Nambu-Jona-Lasino (NJL) and quark-meson (QM) model within mean-field approximation and their possible existence in the respective phase diagrams. For this purpose we focus on lower dimensional modulations and point out that known solutions in the 2+1 and 1+1 dimensional (chiral) Gross-Neveu (GN) model can be lifted to the to the 3+1 dimensional NJL model. This is worked out in detail for one-dimensional modulations and numerical results for the phase diagrams are presented. Focus is put on the critical point and on vanishing temperatures. As an interesting result the first order transition line in the phase diagram of homogeneous phases gets replaced by an inhomogeneous phase which is bordered by two second order transition lines.

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