English

The algebraic structure of Dyson--Schwinger equations with multiple insertion places

Combinatorics 2025-04-08 v2 Mathematical Physics math.MP

Abstract

We give combinatorially controlled series solutions to Dyson--Schwinger equations with multiple insertion places using tubings of rooted trees and investigate the algebraic relation between such solutions and the renormalization group equation.

Keywords

Cite

@article{arxiv.2501.12350,
  title  = {The algebraic structure of Dyson--Schwinger equations with multiple insertion places},
  author = {Nicholas Olson-Harris and Karen Yeats},
  journal= {arXiv preprint arXiv:2501.12350},
  year   = {2025}
}

Comments

44 pages, minor edits according to referee comments