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The singularities of Feynman diagrams in the coordinate space and the $\alpha$-representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 27-32 Cet article a éte moissonné depuis la source Math-Net.Ru

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The $\alpha$-representation is used to prove restrictions on the wave front of Feynman diagrams in the coordinate space, and also to establish the form of a singularity lying on the surface $\operatorname{det}S=0$ ($S$ is the matrix composed of the elements $s_{jj'}=(x_j-x_{j'})^2$) for the simplest diagram with four external vertices. 
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     author = {V. A. Smirnov},
     title = {The singularities of {Feynman} diagrams in the coordinate space and the $\alpha$-representation},
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}
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V. A. Smirnov. The singularities of Feynman diagrams in the coordinate space and the $\alpha$-representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 27-32. http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a1/

[1] V. A. Smirnov, TMF, 36 (1978), 183 | MR

[2] M. Rid, B. Saimon, Metody sovremennoi matematicheskoi fiziki, t. 2, «Mir», 1978 | MR

[3] V. A. Smirnov, TMF, 41 (1979), 330 | MR

[4] V. A. Smirnov, TMF, 44 (1980), 307 | MR

[5] T. Kawai, Publ. RIMS, Kyoto Univ., 15 (1979), 767 | DOI | MR | Zbl