Variational Solution of the Gross-Neveu Model: finite $N$ and Renormalization
Abstract
We show how to perform systematically improvable variational calculations in the Gross-Neveu model for generic , 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, in an asymptotically free field theory. For the Gross-Neveu model, the numerical results obtained from a ``2-loop'' down to low values of .
Keywords
Cite
@article{arxiv.hep-th/9511101,
title = {Variational Solution of the Gross-Neveu Model: finite $N$ and Renormalization},
author = {C. Arvanitis and F. Geniet and M. Iacomi and J. -L. Kneur and A. Neveu},
journal= {arXiv preprint arXiv:hep-th/9511101},
year = {2009}
}
Comments
35 pages, Latex, 5 figures. Correction of a trivial mistake in the Pad\'e approximant numerical program leads to a significant improvement of the variational results for the mass gap, for arbitrary N. A more complete comparison of different Pad\'e approximants is performed. Text modified according to these new results, one figure and two references added