The Hopf algebra structure of the R∗-operation

被引：0

作者：

Robert Beekveldt

Michael Borinsky

Franz Herzog

机构：

[1] Nikhef Theory Group,Higgs Centre for Theoretical Physics, School of Physics and Astronomy

[2] The University of Edinburgh,undefined

来源：

Journal of High Energy Physics | / 2020卷

关键词：

Renormalization Regularization and Renormalons; Scattering Amplitudes; Quantum Groups; Differential and Algebraic Geometry;

D O I：

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摘要：

We give a Hopf-algebraic formulation of the R∗-operation, which is a canonical way to render UV and IR divergent Euclidean Feynman diagrams finite. Our analysis uncovers a close connection to Brown’s Hopf algebra of motic graphs. Using this connection we are able to provide a verbose proof of the long observed ‘commutativity’ of UV and IR subtractions. We also give a new duality between UV and IR counterterms, which, entirely algebraic in nature, is formulated as an inverse relation on the group of characters of the Hopf algebra of log-divergent scaleless Feynman graphs. Many explicit examples of calculations with applications to infrared rearrangement are given.

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