Effective field theory of scalar glueballs: Form factors and interaction radii
Abstract
We develop a gauge-invariant effective field theory for scalar glueball interactions based on the Yang-Mills gluon condensate. Starting from a coherent-state formulation of the Yang-Mills vacuum, we derive an effective Lagrangian for the scalar glueball and its interactions with gluons. The resulting crossing-symmetric amputated four-gluon Green's function is projected onto the color-singlet JPC=0++ channel, yielding a normalized scalar glueball form factor that factorizes into universal kinematic structures and an intrinsic glueball function. The formalism predicts a parameter-free effective interaction radius for the ground-state scalar glueball with resonance f0(1710), rint=√6/mϕ=0.28 fm, which is in excellent agreement with recent lattice Yang-Mills determinations of the mass-radius (r=0.263(31) fm). The predicted momentum dependence of the normalized form factor is consistent with lattice Yang-Mills gravitational form factor data, with the f0(1710) candidate providing the best overall fit and rint. Inclusion of the first excited 0++ glueball produces modest corrections to the interaction radius (rint*=0.240 fm) while yielding stable and kinematically robust modifications of the form factor. This framework provides a systematic bridge between effective field theory and first-principles lattice Yang-Mills calculations of scalar glueball dynamics.
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BibTeX
@misc{issifu2026effective,
title = {{Effective field theory of scalar glueballs: Form factors and interaction radii}},
author = {Adamu Issifu and Orlando Oliveira and Tobias Frederico},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.01988},
eprint = {2610.01988},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.01988},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Effective field theory of scalar glueballs: Form factors and interaction radii
AU - Adamu Issifu
AU - Orlando Oliveira
AU - Tobias Frederico
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.01988
UR - https://arxiv.org/abs/2610.01988
AB - We develop a gauge-invariant effective field theory for scalar glueball interactions based on the Yang-Mills gluon condensate. Starting from a coherent-state formulation of the Yang-Mills vacuum, we derive an effective Lagrangian for the scalar glueball and its interactions with gluons. The resulting crossing-symmetric amputated four-gluon Green's function is projected onto the color-singlet J^PC=0^++ channel, yielding a normalized scalar glueball form factor that factorizes into universal kinematic structures and an intrinsic glueball function. The formalism predicts a parameter-free effective interaction radius for the ground-state scalar glueball with resonance f_0(1710), r_int=√6/m_ϕ=0.28 fm, which is in excellent agreement with recent lattice Yang-Mills determinations of the mass-radius (r=0.263(31) fm). The predicted momentum dependence of the normalized form factor is consistent with lattice Yang-Mills gravitational form factor data, with the f_0(1710) candidate providing the best overall fit and r_int. Inclusion of the first excited 0^++ glueball produces modest corrections to the interaction radius (r_int^*=0.240 fm) while yielding stable and kinematically robust modifications of the form factor. This framework provides a systematic bridge between effective field theory and first-principles lattice Yang-Mills calculations of scalar glueball dynamics.
ER -