Variational Solution of the Gross-Neveu model I. the Large-$N$ Limit
High Energy Physics - Theory
2007-05-23 v1
Abstract
In this first paper we begin the application of variational methods to renormalisable asymptotically free field theories, using the Gross-Neveu model as a laboratory. This variational method has been shown to lead to a numerically convergent sequence of approximations for the anharmonic oscillator. Here we perform a sample calculation in lowest orders, which shows the superficially disastrous situation of variational calculations in quantum field theory, and how in the large- limit all difficulties go away, as a warm up exercise for the finite- case and for QCD.
Keywords
Cite
@article{arxiv.hep-th/9506188,
title = {Variational Solution of the Gross-Neveu model I. the Large-$N$ Limit},
author = {C. Arvanitis and F. Geniet and A. Neveu},
journal= {arXiv preprint arXiv:hep-th/9506188},
year = {2007}
}
Comments
20 pages, includes 4-uuencoded figures, uses revtex one minor corection in the tex source to include properly fig