Differential Birkhoff decomposition and the renormalization of multiple zeta values
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decompositionrenormalizationalgebrabirkhoffdifferentialmultiplevalueszeta
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In the Hopf algebra approach of Connes and Kreimer on renormalization of quantum field theory, the renormalization process is views as a special case of the Algebraic Birkhoff Decomposition. We give a differential algebra variation of this decomposition and apply this to the study of multiple zeta values.
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