Sequences of Trees and Higher-Order Renormalization Group Equations
Combinatorics
2023-08-02 v2 Mathematical Physics
math.MP
Abstract
We define a notion of higher order renormalization group equation and investigate when a sequence of trees satisfies such an equation. In the strongest sense, the sequence of trees satisfies a th order renormalization group equation when applying any choice of Feynman rules results in a Green function satisfying a th order renormalization group equation, and we characterize all such sequences of trees. We also make some comments on sequences of trees which require special choices of Feynman rules in order to satisfy a higher order renormalization group equation.
Cite
@article{arxiv.2209.06576,
title = {Sequences of Trees and Higher-Order Renormalization Group Equations},
author = {William T. Dugan and Loïc Foissy and Karen Yeats},
journal= {arXiv preprint arXiv:2209.06576},
year = {2023}
}
Comments
44 pages, small edits according to referee suggestions