Singular Perturbations in Quantum Field Theory
High Energy Physics - Theory
2007-05-23 v1
Abstract
In this talk we discuss a new approximation scheme for non-perturbative calculations in a quantum field theory which is based on the fact that the Schwinger equation of a quantum field model belongs to the class of singularly perturbed equations. The self-interacting scalar field and the Gross-Neveu model are taken as the examples and some non-perturbative solutions of an equation for the propagator are found for these models. The application to QCD is also discussed.
Cite
@article{arxiv.hep-th/9510219,
title = {Singular Perturbations in Quantum Field Theory},
author = {V. E. Rochev and P. A. Saponov},
journal= {arXiv preprint arXiv:hep-th/9510219},
year = {2007}
}
Comments
Talk given at XVIII International Workshop on HEP and QFT in Protvino, June 26 - 30 1995 and at X International Workshop on HEP and QFT in Zvenigorod, September 20 - 26 1995. LaTex, 7 pages