Geodesic
On Vertex Parts of $p$-adic Feynman Amplitudes
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 165-176

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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. 
@article{TM_2009_265_a14,
     author = {M. D. Missarov and R. G. Stepanov},
     title = {On {Vertex} {Parts} of $p$-adic {Feynman} {Amplitudes}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {165--176},
     publisher = {mathdoc},
     volume = {265},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_265_a14/}
}
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M. D. Missarov; R. G. Stepanov. On Vertex Parts of $p$-adic Feynman Amplitudes. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 165-176. http://geodesic.mathdoc.fr/item/TM_2009_265_a14/