Geodesic
Approximate solutions in the model $\mathscr L_{\mathrm{int}}=h^2\psi^2\varphi^2$ and equations for Green's functions on paths
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 1, pp. 47-58 Cet article a éte moissonné depuis la source Math-Net.Ru

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The introduction of auxiliary fields $A_i(x)$ ($i=1,2$) reduces the solution of the mode with $\mathscr L_{\mathrm{int}}=h^2\psi^2\varphi^2$ to the finding of solutions in the theory with the interaction $\mathscr L_{\mathrm{int}}=-h\psi^2(x)A_1(x)-h\varphi^2(x)A_2(x)$ and subsequent functional averaging over the fields $A_i(x)$. In the framework of the approximation that enables one to allow partly for the contributions from the vacuum polarization in the model $-h\varphi^2(x)A_2(x)$, the corresponding solutions in the theory $h^2\psi^2\varphi^2$ are investigated for the Green's functions and scattering amplitudes. 
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     title = {Approximate solutions in the model $\mathscr L_{\mathrm{int}}=h^2\psi^2\varphi^2$ and equations for {Green's} functions on paths},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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B. M. Barbashov; V. V. Nesterenko. Approximate solutions in the model $\mathscr L_{\mathrm{int}}=h^2\psi^2\varphi^2$ and equations for Green's functions on paths. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 1, pp. 47-58. http://geodesic.mathdoc.fr/item/TMF_1974_19_1_a4/

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