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arXiv · hep-th/9511101

Variational Solution of the Gross-Neveu Model: finite $N$ and Renormalization

C. Arvanitis·F. Geniet·M. Iacomi·J. -L. Kneur·A. Neveu
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Abstract

We show how to perform systematically improvable variational calculations in the $O(2N)$ Gross-Neveu model for generic $N$, in such a way that all infinities usually plaguing such calculations are accounted for in a way compatible with the perturbative renormalization group . The final point is a general framework for the calculation of non-perturbative quantities like condensates, masses etc$\ldots$, in an asymptotically free field theory. For the Gross-Neveu model, the numerical results obtained from a ``2-loop'' down to low values of $N$.

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C. Arvanitis, F. Geniet, M. Iacomi, J. -L. Kneur, A. Neveu. 1996-09-25. Variational Solution of the Gross-Neveu Model: finite $N$ and Renormalization. https://doi.org/10.1142/s0217751x97001730

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