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Podolsky propagator in the gap and bound-state equations

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Author(s):
El-Bennich, Bruno ; Ramos-Zambrano, German ; Rojas, Eduardo
Total Authors: 3
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 103, n. 7, p. 11-pg., 2021-04-12.
Abstract

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)

FAPESP's process: 18/20218-4 - Quantum Chromodynamics for practitioners: understanding current experiments at Jefferson Lab and preparing the future at the Electron-Ion Collider and the Facility for Antiproton and Ion Research
Grantee:Bruno Omar El Bennich
Support Opportunities: Regular Research Grants