Geodesic
Dynamical symmetry and asymptotic scale invariance in ladder models
Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 3, pp. 327-336 Cet article a éte moissonné depuis la source Math-Net.Ru

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Class of ladder equations for the absorptive part of the scalar off-shell forward scattering amplitude $A(s,p^2,p'^2)$ is considered. The models possess hidden symmetry $O(4,1)$ and differ from each other by the values of real positive parameter $\nu$. The case $\nu =1$ corresponds to the standard ladder model in scalar theory of $\lambda\varphi^3$ type with the exchange by massless particle. The amplitude depends on the only variable $sm^2/(p^2-m^2)\times(p'^2-m^2)$ (up to the kinematical factor $s^{\nu-2}$, which guarantees its asymptotic scale invariance (in particular, the Bjorken scaling). At the integer positive $\nu$, the solution is expressed in terms of the hypergeometric functions of one variable. 
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     title = {Dynamical symmetry and asymptotic scale invariance in ladder models},
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A. I. Oksak; V. E. Rochev. Dynamical symmetry and asymptotic scale invariance in ladder models. Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 3, pp. 327-336. http://geodesic.mathdoc.fr/item/TMF_1977_33_3_a3/

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