GEOMETRICALLY RELATING MOMENTUM CUT-OFF AND DIMENSIONAL REGULARIZATION

@article{Agarwala2013GEOMETRICALLYRM,
  title={GEOMETRICALLY RELATING MOMENTUM CUT-OFF AND DIMENSIONAL REGULARIZATION},
  author={Susama Agarwala},
  journal={International Journal of Geometric Methods in Modern Physics},
  year={2013},
  volume={10},
  pages={1250081}
}
  • Susama Agarwala
  • Published 2013
  • Mathematics, Physics
  • International Journal of Geometric Methods in Modern Physics
  • The β 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 β 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. 
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