Renormalization of Gauge Theories and the Hopf Algebra of Diagrams
نویسنده
چکیده
In 1999 A. Connes and D. Kreimer have discovered a Hopf algebra structure on the Feynman graphs of scalar field theory. They have found that the renormalization can be interpreted as a solving of some Riemann — Hilbert problem. In this work the generalization of their scheme to the case of nonabelian gauge theories is proposed. The action of the gauge group on the Hopf algebra of diagrams is defined and the proof that this action is in consistent with the Hopf algebra structure is given. The sketch of new proof of unitarity of S -matrix, based on the Hopf algebra approach is given. ∗Institute of Spectroscopy, RAS 142190 Moskow Region, Troitsk 1
منابع مشابه
Renormalization of Quantum Electrodynamics and Hopf Algebras
In 1999, A. Connes and D. Kreimer have discovered the Hopf algebra structure on the Feynman graphs of scalar field theory. They have found that the renormalization can be interpreted as a solving of some Riemann — Hilbert problem. In this work a generalization of their scheme to the case of quantum electrodynamics is proposed. The action of the gauge group on the Hopf algebra of diagrams are de...
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