Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density

Details Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density

2000-03-22

arxiv.org/abs/hep-th/0003195v3

Phys.Rev. D62 (2000) 096002

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 11 figures, added reference, corrected sign

Scientific paper

10.1103/PhysRevD.62.096002

We study two-dimensional, large $N$ field theoretic models (Gross-Neveu model, 't Hooft model) at finite baryon density near the chiral limit. The same mechanism which leads to massless baryons in these models induces a breakdown of translational invariance at any finite density. In the chiral limit baryonic matter is characterized by a spatially varying chiral angle with a wave number depending only on the density. For small bare quark masses a sine-Gordon kink chain is obtained which may be regarded as simplest realization of the Skyrme crystal for nuclear matter. Characteristic differences between confining and non-confining models are pointed out.

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