On Some New Proof of the Bogoliubov-Parasiuk Theorem (Nonequilibrium Renormalization Theory II)

Details On Some New Proof of the Bogoliubov-Parasiuk Theorem (Nonequilibrium Renormalization Theory II) On Some New Proof of the Bogoliubov-Parasiuk Theorem (Nonequilibrium Renormalization Theory II)

2007-08-30

arxiv.org/abs/0708.4147v1

Physics

Mathematical Physics

Scientific paper

It is usually used a complicated combinatorics to prove the Bogoliubov-Parasiuk theorem. In the present paper we give a proof of the Bogoliubov-Parasiuk theorem which use a simple combinatorics. To give this proof we interpret Feynman amplitudes as distributions on the space of \alpha-parameters. We will use this technique in the next paper to give a proof that the divergences in nonequilibrium diagram technique can be subtracted by means the counterterms of asymptotical state.

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