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

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

1995-11-14

arxiv.org/abs/hep-th/9511101v2

Int.J.Mod.Phys. A12 (1997) 3307-3334

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, Latex, 5 figures. Correction of a trivial mistake in the Pad\'e approximant numerical program leads to a significant

Scientific paper

10.1142/S0217751X97001730

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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