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Natural renormalization

Name: Natural renormalization
Creator: Oliver Schnetz
Keywords: Renormalization group methods applied to problems in quantum field theory, High Energy Physics - Theory, generalized functions, differential renormalization, a priori fixed integration constant, High Energy Physics - Theory (hep-th), Applications of selfadjoint operator algebras to physics, 0103 physical sciences, FOS: Physical sciences, free massive bosonic theory

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Feb 1997Embargo end date: 01 Jan 1996Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 38, pages 738-758 (issn: 0022-2488, eissn: 1089-7658,

Authors: Oliver Schnetz;

doi: 10.1063/1.531900 , 10.48550/arxiv.hep-th/9610025

arXiv: http://arxiv.org/abs/hep-th/9610025

Natural renormalization

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Abstract

A careful analysis of differential renormalization shows that a distinguished choice of renormalization constants allows for a mathematically more fundamental interpretation of the scheme. With this set of a priori fixed integration constants differential renormalization is most closely related to the theory of generalized functions. The special properties of this scheme are illustrated by application to the toy example of a free massive bosonic theory. Then we apply the scheme to the φ4-theory. The two-point function is calculated up to five loops. The renormalization group is analyzed and the beta-function and the anomalous dimension are calculated up to fourth and fifth order, respectively.

Keywords

Renormalization group methods applied to problems in quantum field theory, High Energy Physics - Theory, generalized functions, differential renormalization, a priori fixed integration constant, High Energy Physics - Theory (hep-th), Applications of selfadjoint operator algebras to physics, FOS: Physical sciences, free massive bosonic theory, renormalization

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