Emergence of the Skyrme crystal in Gross-Neveu and ’t Hooft models at finite density
- 25 September 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 62 (9), 096002
- https://doi.org/10.1103/physrevd.62.096002
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 the simplest realization of the Skyrme crystal for nuclear matter. Characteristic differences between confining and non-confining models are pointed out.Keywords
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