Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
Abstract
Here, we present first results for the quark mass function in Minkowski space in both the spacelike and timelike regions calculated from the same quark-antiquark interaction kernel used in the latest meson calculations using the Gross equation. This kernel consists of a Lorentz vector effective one-gluon-exchange-type interaction, a vector constant, and a mixed scalar-pseudoscalar covariant linear confining interaction that does not contribute to the mass function. We analyze the gauge dependence of our results, prove the gauge independence of the constituent quark mass and mass gap equation, and identify the Yennie gauge as the appropriate gauge to be used in CST calculations. We compare our results in the spacelike region to lattice QCD data and find good agreement.
- Authors:
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1488980
- Alternate Identifier(s):
- OSTI ID: 1489358
- Report Number(s):
- JLAB-THY-18-2838; DOE/OR/23177-4566; arXiv:1811.01003; CFTP/18-014
Journal ID: ISSN 2470-0010; PRVDAQ; 114033
- Grant/Contract Number:
- AC05-06OR23177; UID/FIS/00777/2013; SFRH/BPD/100578/2014; SFRH/BD/92637/2013
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 11; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Biernat, Elmar P., Gross, Franz, Peña, M. T., Stadler, Alfred, and Leitão, Sofia. Quark mass function from a one-gluon-exchange-type interaction in Minkowski space. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.114033.
Biernat, Elmar P., Gross, Franz, Peña, M. T., Stadler, Alfred, & Leitão, Sofia. Quark mass function from a one-gluon-exchange-type interaction in Minkowski space. United States. https://doi.org/10.1103/PhysRevD.98.114033
Biernat, Elmar P., Gross, Franz, Peña, M. T., Stadler, Alfred, and Leitão, Sofia. Thu .
"Quark mass function from a one-gluon-exchange-type interaction in Minkowski space". United States. https://doi.org/10.1103/PhysRevD.98.114033.
@article{osti_1488980,
title = {Quark mass function from a one-gluon-exchange-type interaction in Minkowski space},
author = {Biernat, Elmar P. and Gross, Franz and Peña, M. T. and Stadler, Alfred and Leitão, Sofia},
abstractNote = {Here, we present first results for the quark mass function in Minkowski space in both the spacelike and timelike regions calculated from the same quark-antiquark interaction kernel used in the latest meson calculations using the Gross equation. This kernel consists of a Lorentz vector effective one-gluon-exchange-type interaction, a vector constant, and a mixed scalar-pseudoscalar covariant linear confining interaction that does not contribute to the mass function. We analyze the gauge dependence of our results, prove the gauge independence of the constituent quark mass and mass gap equation, and identify the Yennie gauge as the appropriate gauge to be used in CST calculations. We compare our results in the spacelike region to lattice QCD data and find good agreement.},
doi = {10.1103/PhysRevD.98.114033},
journal = {Physical Review D},
number = 11,
volume = 98,
place = {United States},
year = {Thu Dec 27 00:00:00 EST 2018},
month = {Thu Dec 27 00:00:00 EST 2018}
}
https://doi.org/10.1103/PhysRevD.98.114033
Web of Science
Figures / Tables:
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