On the equivalence between implicit regularization and constrained differential renormalization.
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2008
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Constrained differential renormalization (CDR) and the constrained version of implicit regularization are two regularization independent techniques that do not rely on dimensional continuation of the
space-time. These two methods, which have rather distinct bases, have been successfully applied to several
calculations, which show that they can be trusted as practical, symmetry invariant frameworks (gauge and
supersymmetry included) in perturbative computations even beyond one-loop order. In this paper, we show
the equivalence between these two methods at one-loop order. We show that the configuration space rules
of CDR can be mapped into the momentum-space procedures of implicit regularization, the major principle
behind this equivalence being the extension of the properties of regular distributions to regularized ones.
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PONTES, C. R. et al. On the equivalence between implicit regularization and constrained differential renormalization. The European Physical Journal C, v. 53, p. 121-131, 2008. Disponível em: <https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-007-0437-x>. Acesso em: 10 mar. 2020.