On two constructions of an effective field theory

Research output: Contribution to journalArticle

Abstract

In this paper, we discuss two constructions of an effective field theory starting from a local interaction functional. One relies on the well-established graphical combinatorics of the Bogoliubov-Parasiuk-Hepp-Zimmermann algorithm to renormalize divergent Feynman amplitudes. The other, more recent and due to Costello, relies on an inductive construction of local counterterms that uses no graphical combinatorics whatsoever. We show that these two constructions produce the same effective field theory.

Original languageEnglish
Pages (from-to)314-336
Number of pages23
JournalJournal of the London Mathematical Society
Volume94
Issue number1
DOIs
StatePublished - Aug 1 2016

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