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. 

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