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The two-time Green’s function and the diagram technique

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Abstract

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.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

    N. M. Plakida

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Correspondence to N. M. Plakida.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 168, No. 3, pp. 518–535, September, 2011.

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Plakida, N.M. The two-time Green’s function and the diagram technique. Theor Math Phys 168, 1303–1317 (2011). https://doi.org/10.1007/s11232-011-0107-x

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