| Full text | |
| Author(s): |
Lessa, Jose Roberto
;
Serna, Fernando E.
;
El-Bennich, Bruno
;
Bashir, Adnan
;
Oliveira, Orlando
Total Authors: 5
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW D; v. 107, n. 7, p. 8-pg., 2023-04-13. |
| Abstract | |
We study the gauge dependence of the quark propagator in quantum chromodynamics by solving the gap equation with a nonperturbative quark-gluon vertex which is constrained by longitudinal and transverse Slavnov-Taylor identities, the discrete charge conjugation and parity symmetries and which is free of kinematic singularities in the limit of equal incoming and outgoing quark momenta. We employ gluon propagators in renormalizable R xi gauges obtained in lattice QCD studies. We report the dependence of the nonperturbative quark propagator on the gauge parameter, in particular we observe an increase, proportional to the gauge-fixing parameter, of the mass function in the infrared domain, whereas the wave renormalization decreases within the range 0 <= xi <= 1 considered here. The chiral quark condensate reveals a mild gauge dependence in the region of xi investigated. We comment on how to build and improve upon this exploratory study in future in conjunction with generalized gauge covariance relations for QCD. (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 |