Chiral crystals in strong-coupling lattice QCD at nonzero chemical potential

Details Chiral crystals in strong-coupling lattice QCD at nonzero chemical potential Chiral crystals in strong-coupling lattice QCD at nonzero chemical potential

2006-12-11

arxiv.org/abs/hep-lat/0612010v1

JHEP 0703:016,2007

Physics

High Energy Physics

High Energy Physics - Lattice

33 pages, 8 figures

Scientific paper

10.1088/1126-6708/2007/03/016

We study the effective action for strong-coupling lattice QCD with one-component staggered fermions in the case of nonzero chemical potential and zero temperature. The structure of this action suggests that at large chemical potentials its ground state is a crystalline `chiral density wave' that spontaneously breaks chiral symmetry and translation invariance. In mean-field theory, on the other hand, we find that this state is unstable. We show that lattice artifacts are partly responsible for this, and suggest that if this phase exists in QCD, then finding it in Monte-Carlo simulations would require simulating on relatively fine lattices. In particular, the baryon mass in lattice units, m_B, should be considerably smaller than its strong-coupling limit of m_B~3.

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