Publications
Publication Information
| Title | Gauge dependence of the quark gap equation: an exploratory study |
| Authors | José Roberto Lessa, Fernando E. Serna, Bruno El-Bennich, Adnan Bashir, Orlando Oliveira |
| JLAB number | JLAB-THY-23-3789 |
| LANL number | (None) |
| Other number | DOE/OR/23177-5944 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | Yes |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | Fulbright-García Robles scholarship CIC - University of Michoacan |
|
Journal Compiled for Physical Review D Volume 107 Page(s) 074017 | |
| Publication 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 \emph{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 $0 \leq \xi \leq 1$ 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. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.107.074017 |
| Accepted Manuscript: | PhysRevD.107.074017.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |