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An analyst's take on the BPHZ theorem
File | Description | Size | Format | |
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1704.08634v2.pdf | Working paper | 546.26 kB | Adobe PDF | View/Open |
Title: | An analyst's take on the BPHZ theorem |
Authors: | Hairer, M |
Item Type: | Working Paper |
Abstract: | We provide a self-contained formulation of the BPHZ theorem in the Euclidean context, which yields a systematic procedure to "renormalise" otherwise divergent integrals appearing in generalised convolutions of functions with a singularity of prescribed order at their origin. We hope that the formulation given in this article will appeal to an analytically minded audience and that it will help to clarify to what extent such renormalisations are arbitrary (or not). In particular, we do not assume any background whatsoever in quantum field theory and we stay away from any discussion of the physical context in which such problems typically arise. |
Issue Date: | 4-Jul-2018 |
URI: | http://hdl.handle.net/10044/1/64261 |
Publisher: | arXiv |
Copyright Statement: | © 2018 The Author. |
Keywords: | math-ph math.CA math.MP |
Publication Status: | Published |
Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |