Differential Algebraic Birkhoff Decomposition and the renormalization of multiple zeta values |
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| Authors: | Li Guo Bin Zhang |
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| Institution: | a Department of Mathematics and Computer Science, Rutgers University, Newark, NJ 07102, USA
b Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China |
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| Abstract: | In the Hopf algebra approach of Connes and Kreimer on renormalization of quantum field theory, the renormalization process is viewed 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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