Inhomogeneous phases near the chiral critical point in NJL-type models

Details Inhomogeneous phases near the chiral critical point in NJL-type models Inhomogeneous phases near the chiral critical point in NJL-type models

2009-08-26

arxiv.org/abs/0908.3711v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 7 figures, Talk given at the Workshop CPOD 2009, June 08 - 12, BNL, USA

Scientific paper

In this talk we discuss the role of inhomogeneous phases in the phase diagram of the Nambu-Jona-Lasinio (NJL) and the quark meson (QM) model. By means of a generalized Ginzburg-Landau (GL) expansion it is concluded that the critical point in the mean-field phase diagram of the NJL model is in fact a Lifshitz point where homogeneous spontaneously broken, inhomogeneous and restored phases meet. This picture is confirmed by a mean-field calculation for inhomogeneous phases with a one-dimensional modulation. For the latter it is shown that recent results within lower dimensional models can be extended to 3+1 dimensions. Also the respective phase diagram for the QM model is presented.

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