Improved Epstein-Glaser renormalization in x-space versus differential renormalization
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Gracia Bondía, José M.
Gutiérrez Garro, Heidy
Várilly Boyle, Joseph C.
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Abstract
Renormalization of massless Feynman amplitudes in x-space is reexamined here, using almost exclusively real-variable methods. We compute a wealth of concrete examples by means of recursive extension of distributions. This allows us to show perturbative expansions for the four-point and two-point functions at several loop order. To deal with internal vertices, we expound and expand on convolution theory for log-homogeneous distributions. The approach has much in common with differential renormalization as given by Freedman, Johnson and Latorre; but differs in important details.
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RENORMALIZATION, MATHEMATICS, PHYSICS
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https://www.sciencedirect.com/science/article/pii/S0550321314002375