Meson gravitational D-form factors and symmetry breaking in low-energy QCD
Abstract
We investigate meson gravitational D-form factors in the three-flavor linear sigma model and their connection to symmetry breaking in low-energy QCD. Within the scalar meson dominance picture, we examine the scalar meson exchange contributions and their relation to meson masses through scalar-meson couplings. In the three-flavor symmetric limit, we first derive analytical expressions for the D-form factors of pseudoscalar and scalar mesons. In the chiral limit, the forward-limit value of the octet pseudoscalar D-form factor is fixed to −1, whereas the U(1)A anomaly generates additional contributions to the singlet pseudoscalar and scalar-meson D-form factors. For realistic flavor breaking, the interaction introduced to reproduce the scalar-meson mass hierarchy below $1$ GeV significantly affects the scalar-meson D-form factors. We further compare the linear sigma model results with those obtained from a chiral perturbation theory Lagrangian including a dilatonic scalar field and show that their differences are governed by the canonical mass dimensions of the interaction terms contributing to meson mass generation. These results indicate that meson D-form factors provide sensitive probes of symmetry-breaking structures in low-energy hadron physics.
Related
- Chiral symmetry breaking for large "Nf" and the properties of the "rho" meson near the conformal window
- Pion and η meson gravitational form factors from GPDs at non-zero skewness and distribution amplitudes within the Graviton Soft-Wall model
- Imprints of Left-Right Symmetry breaking in Gravitational Wave Spectroscopy: A non-minimal case study
- Cosmological vacuum selection in dynamical symmetry breaking at zero vacuum energy
- Gravitational Waves from Higgs Preheating after Inflaton Z2-Symmetry Breaking
BibTeX
@misc{kawaguchi2026meson,
title = {{Meson gravitational D-form factors and symmetry breaking in low-energy QCD}},
author = {Mamiya Kawaguchi and Kazuhiro Tanaka and Mitsuru Tanaka},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30434},
eprint = {2608.30434},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30434},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Meson gravitational D-form factors and symmetry breaking in low-energy QCD
AU - Mamiya Kawaguchi
AU - Kazuhiro Tanaka
AU - Mitsuru Tanaka
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30434
UR - https://arxiv.org/abs/2608.30434
AB - We investigate meson gravitational D-form factors in the three-flavor linear sigma model and their connection to symmetry breaking in low-energy QCD. Within the scalar meson dominance picture, we examine the scalar meson exchange contributions and their relation to meson masses through scalar-meson couplings. In the three-flavor symmetric limit, we first derive analytical expressions for the D-form factors of pseudoscalar and scalar mesons. In the chiral limit, the forward-limit value of the octet pseudoscalar D-form factor is fixed to −1, whereas the U(1)_A anomaly generates additional contributions to the singlet pseudoscalar and scalar-meson D-form factors. For realistic flavor breaking, the interaction introduced to reproduce the scalar-meson mass hierarchy below $1$ GeV significantly affects the scalar-meson D-form factors. We further compare the linear sigma model results with those obtained from a chiral perturbation theory Lagrangian including a dilatonic scalar field and show that their differences are governed by the canonical mass dimensions of the interaction terms contributing to meson mass generation. These results indicate that meson D-form factors provide sensitive probes of symmetry-breaking structures in low-energy hadron physics.
ER -