Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 27-32
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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/
@article{TMF_1981_46_1_a1,
author = {V. A. Smirnov},
title = {The singularities of {Feynman} diagrams in the coordinate space and the $\alpha$-representation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {27--32},
year = {1981},
volume = {46},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a1/}
}
TY - JOUR
AU - V. A. Smirnov
TI - The singularities of Feynman diagrams in the coordinate space and the $\alpha$-representation
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1981
SP - 27
EP - 32
VL - 46
IS - 1
UR - http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a1/
LA - ru
ID - TMF_1981_46_1_a1
ER -
%0 Journal Article
%A V. A. Smirnov
%T The singularities of Feynman diagrams in the coordinate space and the $\alpha$-representation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 27-32
%V 46
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a1/
%G ru
%F TMF_1981_46_1_a1
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.
