Geodesic
Singularities of feynman amplitudes in the momentum space
Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 140-143

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Restrictions on the wave front of Feynman amplitudes in the momentum space are proved. It is established that the amplitude $F_\Gamma(q_1,\dots,q_k)$ corresponding to massless diagrams $\Gamma$ with two or three external lines are infinitely differentiable functions for $q_i^2\ne0$ ($i=1,2$ or $i=1,2,3$). 
@article{TMF_1981_47_1_a11,
     author = {V. A. Smirnov},
     title = {Singularities of feynman amplitudes in the momentum space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {140--143},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a11/}
}
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V. A. Smirnov. Singularities of feynman amplitudes in the momentum space. Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 140-143. http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a11/