Geodesic
The two-time Green's function and the diagram technique
Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 3, pp. 518-535 Cet article a éte moissonné depuis la source Math-Net.Ru

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Based on constructing the equations of motion for the two-time Green's functions, we discuss calculating the dynamical spin susceptibility and correlation functions in the Heisenberg model. Using a Mori-type projection, we derive an exact Dyson equation with the self-energy operator in the form of a multiparticle Green's function. Calculating the self-energy operator in the mode-coupling approximation in the ferromagnetic phase, we reproduce the results of the temperature diagram technique, including the correct formula for low-temperature magnetization. We also consider calculating the spin fluctuation spectrum in the paramagnetic phase in the framework of the method of equations of motion for the relaxation function.
Keywords: dynamical spin susceptibility, Heisenberg model, retarded Green's function, advanced Green's function, Tyablikov decoupling, diagram technique for spin Green's functions. 
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N. M. Plakida. The two-time Green's function and the diagram technique. Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 3, pp. 518-535. http://geodesic.mathdoc.fr/item/TMF_2011_168_3_a12/

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