Geodesic
Spectral and projection properties of “two-time” Green's functions of $n$ particles in null-plane quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 1, pp. 3-17 
A. N. Kvinikhidze; V. A. Matveev; A. N. Tavkhelidze; A. A. Khelashvili. Spectral and projection properties of “two-time” Green's functions of $n$ particles in null-plane quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/TMF_1976_29_1_a0/
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     title = {Spectral and projection properties of {\textquotedblleft}two-time{\textquotedblright} {Green's} functions of $n$ particles in null-plane quantum field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_29_1_a0/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A spectral representation with respect to the square of the total four-momentum is obtained for the “two-time” Green's function of $n$ particles of arbitrary spin in nullplane quantum field theory. The projection properties of the two-time Green's functions and the corresponding wave functions with respect to the scaled variable $\eta_i=p_i{^+}/P^+$ and also the spin structure are investigated. The transformation properties of the quasipotential variables under Lorentz rotations in the $x^0$, $x^3$ plane and shifts in the space of the transverse momenta of the particles are examined. Three-dimensional equations are obtained for the complete description of a system of three particles of arbitrary spin.

[1] A. A. Logunov, A. N. Tavkhelidze, Nuovo Cim., 29 (1963), 380 | DOI | MR

[2] V. A. Matveev, R. M. Muradyan, A. N. Tavkhelidze, JINR preprint E2-3498, 1967; JINR preprint P2-3900, Dubna, 1968; V. G. Kadyshevsky, Nucl. Phys., B6 (1968), 125 ; C. Fronsdal, L. E. Lundberg, Phys. Rev., D1 (1970), 3247 ; А. А. Логунов, В. И. Саврин, Н. Е. Тюрин, О. А. Хрусталев, ТМФ, 6 (1971), 157 ; I. Todorov, Phys. Rev., D3 (1971), 2351 ; R. N. Faustov, Ann. Phys., 78 (1973), 176 ; В. Р. Гарсеванишвили, А. Н. Квинихидзе, В. А. Матвеев, А. Н. Тавхелидзе, Р. Н. Фаустов, ТМФ, 23 (1975), 3 | DOI | DOI

[3] A. A. Khelashvili, Preprint OIYaI P2-8750, Dubna, 1975 | MR

[4] D. Stoyanov, A. N. Tavkhelidze, Phys. Lett., 13 (1964), 76 ; V. Shelest, D. Stoyanov, Phys. Lett., 13 (1964), 253 ; А. Н. Квинихидзе, Д. Цв. Стоянов, ТМФ, 3 (1970), 332 ; ТМФ, 11 (1972), 23 ; В. М. Виноградов, ТМФ, 8 (1971), 343 ; А. А. Архипов, В. В. Саврин, Препринт ИТЭФ СТФ 72-19, 1972 | DOI | MR | DOI

[5] S. Weinberg, Phys. Rev., 150 (1966), 1313 ; S. P. Kuleshov, A. N. Kvinikhidze, V. A. Matveev, A. N. Sissakian, L. A. Slepchenko, JINR preprint E2-8128, Dubna, 1974; J. F. Gunion, S. J. Brodsky, R. Blankenbecler, Phys. Rev., D8 (1973), 287 | DOI

[6] P. A. M. Dirac, Rev. Mod. Physics, 21 (1949), 392 ; F. Rohrlich, Acta Phys. Austr., 32 (1970), 87; H. Leutwyler, Nucl. Phys., B76 (1974), 413 | DOI | MR | Zbl | DOI

[7] A. N. Kvinikhidze, D. Tsv. Stoyanov, Lektsii na shkole molodykh uchenykh, Sukhumi, 1972