Dortmund 2006 – scientific programme

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T: Teilchenphysik

T 505: QFT II

T 505.5: Group Report

Thursday, March 30, 2006, 17:40–18:00, C2-02-176

Full phase diagram of the massive Gross-Neveu model — •Konrad Urlichs, Michael Thies, and Oliver Schnetz — Institut für Theoretische Physik III, Staudtstraße 7, D-91058 Erlangen

The Gross-Neveu model is a renormalizable quantum field theory of N species of interacting fermions in 1+1 space-time dimensions with a discrete chiral symmetry. In the large-N limit it can be solved using a mean field approach. We discuss the model at finite temperature, chemical potential and bare fermion mass. In this talk we will show that the system exhibits the spontaneous breakdown of translational symmetry at finite density for all values of the bare fermion mass. The phase diagram for finite bare mass features a kink-antikink crystal phase, which was missed in previous works, and a massive Fermi gas phase. The ansatz for the scalar mean field potential is borrowed from the theory of quasi-one-dimensional condensed matter systems like conducting polymers.

[1] Oliver Schnetz, Michael Thies, Konrad Urlichs, hep-th/0507120