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Abstract: In this article we calculate the electrical conductivity in QED using the 2PIeffective action. We use a modified version of the usual 2PI effective actionwhich is defined with respect to self-consistent solutions of the 2-pointfunctions. We show that the green functions obtained from this modifiedeffective action satisfy ward identities and that the conductivity obtainedfrom the kubo relation is gauge invariant. We work to 3-loop order in themodified 2PI effective action and show explicitly that the resulting expressionfor the conductivity contains the square of the amplitude that corresponds toall binary collision and production processes.



Autor: M.E. Carrington, E. Kovalchuk

Fuente: https://arxiv.org/







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