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- W2109603654 abstract "We report on the Hopf algebraic description of renormalization theory of quantum electrodynamics. The Ward–Takahashi (WT) identities are implemented as linear relations on the (commutative) Hopf algebra of Feynman graphs of quantum electrodynamics. Compatibility of these relations with the Hopf algebra structure is the mathematical formulation of the physical fact that WT identities are compatible with renormalization. As a result, the counterterms and the renormalized Feynman amplitudes automatically satisfy the WT identities, which leads in particular to the well-known identity Z 1 = Z 2." @default.
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- W2109603654 date "2006-07-25" @default.
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- W2109603654 title "The Hopf Algebra of Feynman Graphs in Quantum Electrodynamics" @default.
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- W2109603654 doi "https://doi.org/10.1007/s11005-006-0092-4" @default.
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