Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/113630
Title: | Gauge dependence of the quark gap equation: an exploratory study | Authors: | Lessa, José Roberto Serna, Fernando E. El-Bennich, Bruno Bashir, Adnan Oliveira, Orlando |
Keywords: | High Energy Physics - Phenomenology; High Energy Physics - Lattice; Nuclear Theory | Issue Date: | 24-Feb-2022 | Publisher: | American Physical Society | Project: | UID/FIS/04564/2019 | Serial title, monograph or event: | Physical Review D | Volume: | 107 | Issue: | 7 | 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 $0 \leq \xi \leq 1$ 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. | Description: | 8 pages, 5 figures, 1 table, version accepted for publication in PRD | URI: | https://hdl.handle.net/10316/113630 | ISSN: | 2470-0010 2470-0029 |
DOI: | 10.1103/PhysRevD.107.074017 | Rights: | openAccess |
Appears in Collections: | I&D CFis - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Gauge-dependence-of-the-quark-gap-equation-An-exploratory-studyPhysical-Review-D.pdf | 918.43 kB | Adobe PDF | View/Open |
Page view(s)
79
checked on Oct 23, 2024
Download(s)
19
checked on Oct 23, 2024
Google ScholarTM
Check
Altmetric
Altmetric
This item is licensed under a Creative Commons License