Geometrically relating momentum cut-off and dimensional regularization

Susama Agarwala

Geometrically relating momentum cut-off and dimensional regularization

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arxiv 1107.5533 v2 pith:7SMMTNIG submitted 2011-07-27 math-ph math.MP

Susama Agarwala This is my paper · ORCID

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keywords regularizationbetacut-offdependencedimensionalfieldmomentumscalar

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abstract

The $\beta$ 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 $\beta$-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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