Dynkin operators, renormalization and the geometric $\beta$ function
Mathematical Physics
2012-11-20 v1 High Energy Physics - Theory
Dynamical Systems
math.MP
Abstract
In this paper, I show a close connection between renormalization and a generalization of the Dynkin operator in terms of logarithmic derivations. The geometric function, which describes the dependence of a Quantum Field Theory on an energy scale defines is defined by a complete vector field on a Lie group defined by a QFT. It also defines a generalized Dynkin operator.
Keywords
Cite
@article{arxiv.1211.4466,
title = {Dynkin operators, renormalization and the geometric $\beta$ function},
author = {Susama Agarwala},
journal= {arXiv preprint arXiv:1211.4466},
year = {2012}
}