On two constructions of an effective field theory
Mathematical Physics
2017-05-17 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
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 BPHZ 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.
Cite
@article{arxiv.1502.05790,
title = {On two constructions of an effective field theory},
author = {Alastair Hamilton},
journal= {arXiv preprint arXiv:1502.05790},
year = {2017}
}
Comments
20 pages, 1 figure