Ultraviolet finiteness of Chiral Perturbation Theory for two-dimensional Quantum Electrodynamics
High Energy Physics - Theory
2009-12-30 v1
Abstract
We consider the perturbation theory in the fermion mass (chiral perturbation theory) for the two-dimensional quantum electrodynamics. With this aim, we rewrite the theory in the equivalent bosonic form in which the interaction is exponential and the fermion mass becomes the coupling constant. We reformulate the bosonic perturbation theory in the superpropagator language and analyze its ultraviolet behavior. We show that the boson Green's functions without vacuum loops remain finite in all orders of the perturbation theory in the fermion mass.
Keywords
Cite
@article{arxiv.hep-th/0310053,
title = {Ultraviolet finiteness of Chiral Perturbation Theory for two-dimensional Quantum Electrodynamics},
author = {S. A. Paston and E. V. Prokhvatilov and V. A. Franke},
journal= {arXiv preprint arXiv:hep-th/0310053},
year = {2009}
}
Comments
LaTeX 2.09, 9 pages