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
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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.
@article{TMF_1976_29_1_a0,
author = {A. N. Kvinikhidze and V. A. Matveev and A. N. Tavkhelidze and A. A. Khelashvili},
title = {Spectral and projection properties of ``two-time'' {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},
pages = {3--17},
publisher = {mathdoc},
volume = {29},
number = {1},
year = {1976},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1976_29_1_a0/}
}
TY - JOUR AU - A. N. Kvinikhidze AU - V. A. Matveev AU - A. N. Tavkhelidze AU - A. A. Khelashvili TI - Spectral and projection properties of ``two-time'' Green's functions of $n$ particles in null-plane quantum field theory JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1976 SP - 3 EP - 17 VL - 29 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1976_29_1_a0/ LA - ru ID - TMF_1976_29_1_a0 ER -
%0 Journal Article %A A. N. Kvinikhidze %A V. A. Matveev %A A. N. Tavkhelidze %A A. A. Khelashvili %T Spectral and projection properties of ``two-time'' Green's functions of $n$ particles in null-plane quantum field theory %J Teoretičeskaâ i matematičeskaâ fizika %D 1976 %P 3-17 %V 29 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1976_29_1_a0/ %G ru %F TMF_1976_29_1_a0
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/