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arXiv 0708.4147math-phmath.MP
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关于Bogoliubov-Parasiuk定理(非平衡重整化理论II)的一些新证明

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

D. V. Prokhorenko

摘要:

Bogoliubov-Parasiuk定理的证明通常用复杂的组合数学方法。本文给出了Bogoliubov-Parasiuk定理的一个简单的组合证明。为了证明这一点,我们将费曼振幅解释为α参数空间上的分布。本文将用这种方法证明非平衡图法中的发散项可以用渐近态的反项来减去。

英文摘要:

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 α-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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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