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Title: 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:
 [1]; ORCiD logo [2];  [1];  [3];  [1]
  1. Univ. de Lisboa, Lisboa (Portugal)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
  3. Univ. de Evora, Evora (Portugal); Univ. de Lisboa, Lisboa (Portugal)
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) (SC-26)
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
Grant/Contract Number:  
UID/FIS/00777/2013; SFRH/BPD/100578/2014; SFRH/BD/92637/2013; AC05-06OR23177
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 98; Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
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. doi: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. doi: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 = {2018},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.98.114033

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 FIG. 1: Singularity-free region (shaded in purple) of M$2\atop{g}$=m2 vs p0=m. The region is limited by the curves (1+ p$0\atop{m}$)2(blue solid line) and (1+ p$0\atop{m}$)2 (red solid line). The black dotted reference lines are for M$2\atop{g}$/m2= 4, 1, 0.1. The green dashed vertical line marks the point p0 = m.

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