First Order Chiral Phase Transition from a Six-fermion ''Instanton''-Interaction

Details First Order Chiral Phase Transition from a Six-fermion ''Instanton''-Interaction First Order Chiral Phase Transition from a Six-fermion ''Instanton''-Interaction

2003-09-09

arxiv.org/abs/hep-ph/0309101v1

Nucl.Phys. A733 (2004) 113-129

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 3 figures, uses revtex4

Scientific paper

10.1016/j.nuclphysa.2003.11.060

We compute the first order chiral phase transition for an instanton motivated quark model with a local six-quark interaction. In order to compare different solutions of the gap equation we compute the bosonic effective action -- a two particle irreducible free energy functional. We find that the first order transition ends for a critical current quark mass, with continuous crossover for larger quark masses. Furthermore, we investigate different possible order parameters, including a color octet condensate. We also compare our formalism with mean field theory.

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