Towards a Generalized Distribution Formalism for Gauge Quantum Fields
High Energy Physics - Theory
2010-11-01 v1
Abstract
We prove that the distributions defined on the Gelfand-Shilov spaces, and hence more singular than hyperfunctions, retain the angular localizability property. Specifically, they have uniquely determined support cones. This result enables one to develop a distribution-theoretic techniques suitable for the consistent treatment of quantum fields with arbitrarily singular ultraviolet and infrared behavior. The proofs covering the most general case are based on the use of the theory of plurisubharmonic functions and Hormander's estimates.
Cite
@article{arxiv.hep-th/9403083,
title = {Towards a Generalized Distribution Formalism for Gauge Quantum Fields},
author = {M. A. Soloviev},
journal= {arXiv preprint arXiv:hep-th/9403083},
year = {2010}
}
Comments
12 p., Department of Theoretical Physics, P.N.Lebedev Physical Institute, Leninsky prosp. 53, Moscow 117924, Russia