Geometrically relating momentum cut-off and dimensional regularization
Mathematical Physics
2012-11-20 v2 math.MP
Abstract
The function for a scalar field theory describes the dependence of the coupling constant on the renormalization mass scale. This dependence is affected by the choice of regularization scheme. I explicitly relate the -functions of momentum cut-off regularization and dimensional regularization on scalar field theories by a gauge transformation using the Hopf algebras of the Feynman diagrams of the theories.
Cite
@article{arxiv.1107.5533,
title = {Geometrically relating momentum cut-off and dimensional regularization},
author = {Susama Agarwala},
journal= {arXiv preprint arXiv:1107.5533},
year = {2012}
}
Comments
As submitted to IJGMMP; International Journal of Geometric Methods in Mathematical Physics, 2013, Volume 10, Number 2