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

Understand

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.