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

J. Barcenas·L. Reyes·R. Esquivel--Sirvent
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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

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J. Barcenas, L. Reyes, R. Esquivel--Sirvent. 2011-07-22. Infinity in the regularization of Quantum Electrodynamics: A non standard Alternative. https://arxiv.org/abs/math-ph/0604056

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