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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 265, Pages 165–176 (Mi tm832)  
On Vertex Parts of $p$-adic Feynman Amplitudes

M. D. Missarov, R. G. Stepanov

Kazan State University, Kazan, Russia
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Abstract: We reduce the calculation of the vertex parts of $p$-adic Feynman amplitudes to a recursive procedure for evaluating singular parts of certain integrals. We propose an algorithm for calculating these integrals in the general form. As an example, we consider vertex parts of amplitudes in the $\varphi ^4$ theory.
Received in August 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 265, Pages 154–164
DOI: https://doi.org/10.1134/S0081543809020151
Bibliographic databases:
UDC: 531.19
Language: Russian
Citation: M. D. Missarov, R. G. Stepanov, “On Vertex Parts of $p$-adic Feynman Amplitudes”, Selected topics of mathematical physics and $p$-adic analysis, Collected papers, Trudy Mat. Inst. Steklova, 265, MAIK Nauka/Interperiodica, Moscow, 2009, 165–176; Proc. Steklov Inst. Math., 265 (2009), 154–164
Citation in format AMSBIB
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\pages 165--176
\publ MAIK Nauka/Interperiodica
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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