Corpus ID: 119285004

# Dynkin operators, renormalization and the geometric $\beta$ function

@article{Agarwala2012DynkinOR,
title={Dynkin operators, renormalization and the geometric \$\beta\$ function},
author={Susama Agarwala},
journal={arXiv: Mathematical Physics},
year={2012}
}
• Susama Agarwala
• Published 2012
• Physics, Mathematics
• arXiv: Mathematical Physics
• In this paper, I show a close connection between renormalization and a generalization of the Dynkin operator in terms of logarithmic derivations. The geometric $\beta$ 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 $G$ defined by a QFT. It also defines a generalized Dynkin operator.