Sequences of trees and higher-order renormalization group equations - Archive ouverte HAL Access content directly
Journal Articles Journal of Mathematical Physics Year : 2023

Sequences of trees and higher-order renormalization group equations

William Dugan
Karen Yeats

Abstract

We define a notion of higher-order renormalization group equations and investigate when a sequence of trees satisfies such an equation. In the strongest sense, the sequence of trees satisfies a kth-order renormalization group equation when applying any choice of Feynman rules results in a Green function satisfying a kth-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.

Dates and versions

hal-04355839 , version 1 (20-12-2023)

Identifiers

Cite

William Dugan, Loïc Foissy, Karen Yeats. Sequences of trees and higher-order renormalization group equations. Journal of Mathematical Physics, 2023, 64 (7), ⟨10.1063/5.0128752⟩. ⟨hal-04355839⟩
6 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More