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Clustering of Fermionic Truncated Expectation Valuesvia Functional Integration
, 2008
"... Clustering of fermionic truncated expectation values via functional integration ..."
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Clustering of fermionic truncated expectation values via functional integration
A RIGOROUS TREATMENT OF THE PERTURBATION THEORY FOR MANYELECTRON SYSTEMS
, 904
"... Four point correlation functions for many electrons at finite temperature in periodic lattice of dimension d ( ≥ 1) 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 ..."
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Four point correlation functions for many electrons at finite temperature in periodic lattice of dimension d ( ≥ 1) 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 by evaluating the Taylor expansion of logarithm of the finite dimensional Grassmann Gaussian integrals. The perturbation series up to second order is numerically implemented along with the volumeindependent upper bounds on the sum of the higher order terms in 2 dimensional case.