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QED photon-fermion vertex from its Dyson-Schwinger equation in 4D: The full vertex, the transverse form factors, and the perturbative solution

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Autor(es):
Oliveira, Orlando
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW D; v. 112, n. 7, p. 23-pg., 2025-10-10.
Resumo

We investigate the Dyson-Schwinger equation for the photon-fermion one-particle irreducible vertex in QED in linear covariant gauges. The longitudinal component of this vertex is described using the Ball-Chiu basis, while its transverse part is expressed with the K & imath;z & imath;lersu-Reenders-Pennington basis. Combining the vertex Ward-Takahashi identity with the vertex equation, we derive a set of exact, nonlinear integral equations governing the transverse vertex. These equations hold for any linear covariant gauge and must be solved self-consistently. We discuss several approximations to the exact equations, generalizing results previously obtained at the perturbative one-loop level. Various kinematical configurations are also examined. Furthermore, we compute the perturbative solution of the transverse vertex Dyson-Schwinger equations for all transverse form factors and derive their perturbative asymptotic expressions. (AU)

Processo FAPESP: 22/05328-3 - Vértices não-perturbativos da QED e QCD de primeiros princípios: combinando métodos contínuos com resultados da rede
Beneficiário:Tobias Frederico
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional