Gravitational $ D$-Form Factor: The $σ$-Meson as a Dilaton confronted with Lattice Data

Fuente: arXiv
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Autores principales: Stegeman, Roy, Zwicky, Roman
Formato: Preprint
Publicado: 2025
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author Stegeman, Roy
Zwicky, Roman
author_facet Stegeman, Roy
Zwicky, Roman
contents We investigate the nucleon and pion gravitational $D$-form factors, by fitting a $σ/f_0(500)$-meson pole, together with a background term, to lattice data at $m_π\approx 170\text{MeV}$. We find that the fitted residues are compatible with predictions from dilaton effective theory. In this framework, the $σ$-meson takes on the role of the dilaton, the Goldstone boson of spontaneously broken scale symmetry. These results support the idea that QCD may be governed by an infrared fixed point and offer a physical interpretation of the $D$-form factor (or $D$-term) in the soft limit.
format Preprint
id arxiv_https___arxiv_org_abs_2508_18537
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational $ D$-Form Factor: The $σ$-Meson as a Dilaton confronted with Lattice Data
Stegeman, Roy
Zwicky, Roman
High Energy Physics - Phenomenology
High Energy Physics - Lattice
High Energy Physics - Theory
Nuclear Theory
We investigate the nucleon and pion gravitational $D$-form factors, by fitting a $σ/f_0(500)$-meson pole, together with a background term, to lattice data at $m_π\approx 170\text{MeV}$. We find that the fitted residues are compatible with predictions from dilaton effective theory. In this framework, the $σ$-meson takes on the role of the dilaton, the Goldstone boson of spontaneously broken scale symmetry. These results support the idea that QCD may be governed by an infrared fixed point and offer a physical interpretation of the $D$-form factor (or $D$-term) in the soft limit.
title Gravitational $ D$-Form Factor: The $σ$-Meson as a Dilaton confronted with Lattice Data
topic High Energy Physics - Phenomenology
High Energy Physics - Lattice
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2508.18537