Infinity in the regularization of Quantum Electrodynamics: A non standard Alternative

Details Infinity in the regularization of Quantum Electrodynamics: A non standard Alternative Infinity in the regularization of Quantum Electrodynamics: A non standard Alternative

2006-04-24

arxiv.org/abs/math-ph/0604056v4

Physics

Mathematical Physics

This paper has been withdrawn by the authors. Paper removed due to reconsideration of original motivation

Scientific paper

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

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