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Quark mass functions in Minkowski space
Abstract
Using the Covariant Spectator Theory (CST), we calculate the dressed quark mass function and wave-function renormalization for the five quark flavors from up/down to bottom in both the spacelike and timelike regions of Minkowski space. The calculation employs a model dressed-gluon propagator fitted to lattice data in the spacelike region. The remaining free parameters of the quark self-energy are determined by fits to lattice results for the quark mass function including a constraint built into the wave-function renormalization. We perform these fits using lattice data from two different groups and find that the resulting mass predictions are within the range of the typical constituent masses used in quark models.
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BibTeX
@misc{biernat2026quark,
title = {{Quark mass functions in Minkowski space}},
author = {Elmar P. Biernat and Franz Gross and M. T. Peña and Alfred Stadler},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.06839},
eprint = {2609.06839},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.06839},
}
RIS
TY - UNPB
TI - Quark mass functions in Minkowski space
AU - Elmar P. Biernat
AU - Franz Gross
AU - M. T. Peña
AU - Alfred Stadler
PY - 2026
DA - 2026/09/06
PB - arXiv
DO - 10.48550/arxiv.2609.06839
UR - https://arxiv.org/abs/2609.06839
AB - Using the Covariant Spectator Theory (CST), we calculate the dressed quark mass function and wave-function renormalization for the five quark flavors from up/down to bottom in both the spacelike and timelike regions of Minkowski space. The calculation employs a model dressed-gluon propagator fitted to lattice data in the spacelike region. The remaining free parameters of the quark self-energy are determined by fits to lattice results for the quark mass function including a constraint built into the wave-function renormalization. We perform these fits using lattice data from two different groups and find that the resulting mass predictions are within the range of the typical constituent masses used in quark models.
ER -