Geodesic
Topological properties of Landau curves in connection with Mandelstam's conjecture
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 335-347

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Feynman amplitude $F_G$ assotiated with the Feynman graph $G$ is considered for the case of the scalar scattering reaction of the $1+2\to 3+4$ type. Sufficient conditions of validity of the Mandelstam hypothesis [1] are found as conditions on the Landau curves $\mathscr L_G$ for the amplitude $F_G$, $G\in \Re$ where $\Re$ is a certain class of the Feynmann graphs introduced in the work. Application of the criteria obtained to the ladder graph is considered. 
@article{TMF_1975_23_3_a5,
     author = {V. Z. \`Enol'skii},
     title = {Topological properties of {Landau} curves in connection with {Mandelstam's} conjecture},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {335--347},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a5/}
}
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V. Z. Ènol'skii. Topological properties of Landau curves in connection with Mandelstam's conjecture. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 335-347. http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a5/