Abstract
A nonperturbative formula for the imaginary part of the proper self-energy of an interacting electron gas at finite temperatures is derived on the basis of the finite temperature generalized Ward-Takahashi relations [Ann. Phys. (N.Y.) 173, 226 (1987)]. It is shown that the obtained formula gives a nonperturbative basis for the Guiliani-Quinn's theory on the Coulomb lifetime of the two-dimensional electrons.
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