Renormalization: the observable-state model
Mathematical Physics
2012-03-29 v3 math.MP
Quantum Physics
Abstract
The usual mathematical formalism of quantum field theory is non-rigorous because it contains divergences that can only be renormalized by non-rigorous mathematical methods. The purpose of this paper is to present a method of subtraction of this divergences using the formalism of decoherence. This is achieved by replacing the standard renormalization method by a projector on a well defined Hilbert subspace. In this way a list of problems of the standard formalism disappears while the physical results of QFT remains valid. From it own nature, this formalism can be used in non-renormalizable theories.
Cite
@article{arxiv.1105.1826,
title = {Renormalization: the observable-state model},
author = {Juan Sebastián Ardenghi and Mario Castagnino},
journal= {arXiv preprint arXiv:1105.1826},
year = {2012}
}
Comments
23 pages