Progress on meson-glueball mixing in lattice gauge theories coupled to fermions in multiple representations
Abstract
We present preliminary results from our numerical lattice investigation of the low-lying flavour-singlet bound states in the Sp(4) gauge theory coupled to fermions transforming in the fundamental and two-index antisymmetric representations. We use the Wilson gauge action and Wilson fermions. We employ the generalized eigenvalue problem (GEVP) method with a basis of smeared glueball and meson interpolating operators. We analyse two high-statistics ensembles with the same lattice coupling and different fermion mass. We study both the scalar and pseudoscalar states. We observe the first evidence for meson-glueball mixing in this theory. We improve upon previous determinations of the energy eigenstates and mixing angles in the flavour-singlet pseudoscalar sector.
Related
- Progress on Sp(4) lattice theories with Grid: Möbius domain wall fermions and continuum extrapolations
- A Note On Lattice Definition of Gauge Theories With Chiral Fermions
- QCD-like theories at next-to-next-to-leading order with NF=2 non-degenerate fermions
- Defect conformal field theories with free-in-the-bulk fermions
- Hamiltonian analysis of disformally coupled fermions in scalar-tensor theories
BibTeX
@misc{brito2026progress,
title = {{Progress on meson-glueball mixing in lattice gauge theories coupled to fermions in multiple representations}},
author = {Nuno Brito and Ed Bennett and Deog Ki Hong and Jong-Wan Lee and C. -J. David Lin and Biagio Lucini and Maurizio Piai and Davide Vadacchino and Fabian Zierler},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29861},
eprint = {2610.29861},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29861},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Progress on meson-glueball mixing in lattice gauge theories coupled to fermions in multiple representations
AU - Nuno Brito
AU - Ed Bennett
AU - Deog Ki Hong
AU - Jong-Wan Lee
AU - C. -J. David Lin
AU - Biagio Lucini
AU - Maurizio Piai
AU - Davide Vadacchino
AU - Fabian Zierler
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29861
UR - https://arxiv.org/abs/2610.29861
AB - We present preliminary results from our numerical lattice investigation of the low-lying flavour-singlet bound states in the Sp(4) gauge theory coupled to fermions transforming in the fundamental and two-index antisymmetric representations. We use the Wilson gauge action and Wilson fermions. We employ the generalized eigenvalue problem (GEVP) method with a basis of smeared glueball and meson interpolating operators. We analyse two high-statistics ensembles with the same lattice coupling and different fermion mass. We study both the scalar and pseudoscalar states. We observe the first evidence for meson-glueball mixing in this theory. We improve upon previous determinations of the energy eigenstates and mixing angles in the flavour-singlet pseudoscalar sector.
ER -