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Article Dans Une Revue Physical Review D Année : 2010

Aspects of self-consistency in the Dyson-Schwinger approach to QED and λ(ϕ⋆ϕ)2 theories

Résumé

We investigate some aspects of the self-consistency in the Dyson-Schwinger approach to both the QED and the self-interacting scalar field theories. We prove that the set of the Dyson-Schwinger equations, together with the Green-Ward-Takahashi identity, is equivalent to the analogous set of integral equations studied in condensed matter, namely many-body perturbation theory, where it is solved self-consistently and iteratively. In this framework, we compute the non-perturbative solution of the gap equation for the self-interacting scalar field theory.
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Dates et versions

hal-00960130 , version 1 (01-02-2022)

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Roberto Casalbuoni, Massimo Ladisa, Valerio Olevano. Aspects of self-consistency in the Dyson-Schwinger approach to QED and λ(ϕ⋆ϕ)2 theories. Physical Review D, 2010, 82 (9), pp.094023. ⟨10.1103/PhysRevD.82.094023⟩. ⟨hal-00960130⟩

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