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

Verena Schön·Michael Thies
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Abstract

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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Verena Schön, Michael Thies. 2000-07-13. Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density. https://doi.org/10.1103/physrevd.62.096002

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