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Log-homogeneous distributions and x-space renormalization

4:00 pm Thursday, February 26, 2015
Joseph C. Varilly (Universidad de Costa Rica)

Abstract: A function or distribution on a real vector space is log-homogeneous if it rescales under dilations with an extra logarithmic term. Such distributions arise naturally when one needs to renormalize divergent integrals in configuration space. The necessary multiloop calculations can be performed by a recursive extension of distributions, where log-homogeneity helps to reduce the ambiguities as much as possible. We show how this is done in several examples, using the convolution theory developed by Horvath and coworkers, in the light of a recent reexamination of renormalization by Nikolov, Todorov and Stora.

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