A rigorous treatment of the perturbation theory for many-electron systems

Details A rigorous treatment of the perturbation theory for many-electron systems A rigorous treatment of the perturbation theory for many-electron systems

2009-04-06

arxiv.org/abs/0904.0874v2

Physics

Mathematical Physics

61 pages

Scientific paper

Four point correlation functions for many electrons at finite temperature in periodic lattice are analyzed by the perturbation theory with respect to the coupling constant. The correlation functions are characterized as a limit of finite dimensional Grassmann integrals. A lower bound on the radius of convergence and an upper bound on the perturbation series are obtained. The perturbation series up to second order is numerically implemented along with the volume-independent upper bounds on the sum of the higher order terms in 2 dimensional case.

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