English

Continuous Constructive Fermionic Renormalization

High Energy Physics - Theory 2009-05-07 v2

Abstract

We build the two dimensional Gross-Neveu model by a new method which requires neither cluster expansion nor discretization of phase-space. It simply reorganizes the perturbative series in terms of trees. With this method we can for the first time define non perturbatively the renormalization group differential equations of the model and at the same time construct explicitly their solution.

Keywords

Cite

@article{arxiv.hep-th/9802145,
  title  = {Continuous Constructive Fermionic Renormalization},
  author = {M. Disertori and V. Rivasseau},
  journal= {arXiv preprint arXiv:hep-th/9802145},
  year   = {2009}
}

Comments

63 pages, 23 figures, LateX file. version 2 : rewriting subsections IV.3.4 and IV.3.5, 2 figures added and some typos corrected