Infinity in the regularization of Quantum Electrodynamics: A non standard Alternative
Mathematical Physics
2011-07-25 v4 math.MP
Abstract
We review the concept of infinity as applied to regularization procedures in Quantum Electrodynamics. A clear distinction that is lacking in current literature is made between the physical contents of renormalization, and the mathematical aspects of regularization. Robinson's non-standard analysis is offered as a means to settle the ambiguities of the theory, in the spirit of Paul Dirac's well known comments concerning the weak status of the mathematics used in traditional regularization schemes. As a case study we consider the Casimir effect
Cite
@article{arxiv.math-ph/0604056,
title = {Infinity in the regularization of Quantum Electrodynamics: A non standard Alternative},
author = {J. Barcenas and L. Reyes and R. Esquivel--Sirvent},
journal= {arXiv preprint arXiv:math-ph/0604056},
year = {2011}
}
Comments
This paper has been withdrawn by the authors. Paper removed due to reconsideration of original motivation