Renormalization of QED with planar binary trees

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Uses feynmf package. 20 pages

Scientific paper

10.1007/s100520100586

The renormalized photon and electron propagators are expanded over planar binary trees. Explicit recurrence solutions are given for the terms of these expansions. In the case of massless Quantum Electrodynamics (QED), the relation between renormalized and bare expansions is given in terms of a Hopf algebra structure. For massive quenched QED, the relation between renormalized and bare expansions is given explicitly.

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