Ultraviolet finiteness of Chiral Perturbation Theory for two-dimensional Quantum Electrodynamics

Details Ultraviolet finiteness of Chiral Perturbation Theory for two-dimensional Quantum Electrodynamics Ultraviolet finiteness of Chiral Perturbation Theory for two-dimensional Quantum Electrodynamics

2003-10-06

arxiv.org/abs/hep-th/0310053v1

Theor.Math.Phys.136:951-957,2003; Teor.Mat.Fiz.136:69-76,2003

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2.09, 9 pages

Scientific paper

10.1023/A:1024545521868

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.

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