Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-07-08
Phys.Rev.D82:054009,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages, 10 figures
Scientific paper
10.1103/PhysRevD.82.054009
We investigate the role of the isoscalar vector interaction and the dynamics of the Polyakov loop on inhomogeneous phases in the phase diagram of the two-flavor Nambu-Jona--Lasinio (NJL) model. Thereby we concentrate on phases with a one-dimensional modulation, explicitly domain-wall solitons and, for comparison, the chiral spiral. While the inclusion of the Polyakov loop merely leads to quantitative changes compared to the original NJL model, the presence of a repulsive vector-channel interaction has significant qualitative effects: Whereas for homogeneous phases the first-order phase transition gets weakened and eventually turns into a second-order transition or a cross-over, the domain of inhomogeneous phases is less affected. In particular the location of the Lifshitz point in terms of temperature and density is not modified. Consequently, the critical point disappears from the phase diagram and only a Lifshitz point (showing a different critical behavior) remains. As a result, susceptibilities remain finite.
Buballa Michael
Carignano Stefano
Nickel Dominik
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