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Podolsky propagator in the gap and bound-state equations

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Autor(es):
El-Bennich, Bruno ; Ramos-Zambrano, German ; Rojas, Eduardo
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW D; v. 103, n. 7, p. 11-pg., 2021-04-12.
Resumo

Based on the generalized quantum electrodynamics expression for the Podolsky propagator, which preserves gauge invariance for massive photons, we propose a model for the massive gluon propagator that reproduces well-known features of established strong-interaction models in the framework of the Dyson-Schwinger equation. By adjusting the Podolsky mass and the coupling strength we thus construct a model with simple analytical properties known from perturbative theory, yet well suited to describe a confining interaction. We obtain solutions of the Dyson-Schwinger equation for the quark at spacelike momenta on the real axis as well as on the complex plane and solving the bound-state problem with the Bethe-Salpeter equation yields masses and weak decay constants of the pi, K and eta(c) in excellent agreement with experimental values, while the D and D-s are reasonably well described. The analytical simplicity of this effective interaction has the potential to be useful for phenomenological applications and may facilitate calculations in Minkowski space. (AU)

Processo FAPESP: 18/20218-4 - Cromodinâmica quântica para praticantes: entendendo os experimentos atuais no Jefferson Lab e preparando o futuro para o Electron-Ion Collider e o Facility for Antipróton and Íon Research
Beneficiário:Bruno Omar El Bennich
Modalidade de apoio: Auxílio à Pesquisa - Regular