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arXiv · hep-th/9612168

Three Dimensional Gross-Neveu Model on Curved Spaces

Gennaro Miele·Patrizia Vitale
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Abstract

The large N limit of the 3-d Gross-Neveu model is here studied on manifolds with positive and negative constant curvature. Using the $ζ$-function regularization we analyze the critical properties of this model on the spaces $S^2 \times S^1$ and $H^2\times S^1$. We evaluate the free energy density, the spontaneous magnetization and the correlation length at the ultraviolet fixed point. The limit $S^1\to R$, which is interpreted as the zero temperature limit, is also studied.

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Gennaro Miele, Patrizia Vitale. 1996-12-16. Three Dimensional Gross-Neveu Model on Curved Spaces. https://doi.org/10.1016/s0550-3213(97)00155-7

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