Differential Birkhoff decomposition and the renormalization of multiple zeta values

Details Differential Birkhoff decomposition and the renormalization of multiple zeta values Differential Birkhoff decomposition and the renormalization of multiple zeta values

2007-10-02

arxiv.org/abs/0710.0432v1

J. Number Theory vol 128 (2008), 2318-2339

Mathematics

Number Theory

20 pages

Scientific paper

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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