From η′ physics to the Columbia plot in a U(3) holographic QCD model
5 affiliations
- 1Hangzhou Institute for Advanced Study, UCAS
- 2Chinese Academy of Sciences
- 3University of Chinese Academy of Sciences (UCAS)
- 4International Center for Theoretical Physics Asia-Pacific (ICTP-AP), UCAS
- 5Hunan University
Abstract
A bstract : We construct a U(3) extension of a soft-wall holographic QCD model to investigate how a phenomenological determinant interaction affects the pseudoscalar nonet and the finite-temperature chiral phase structure. The holographic-coordinate-dependent determinant interaction dynamically generates the η - η ′ mass splitting and singlet-octet mixing. By analyzing pseudoscalar spectra, decay constants, mixing parameters, and quark-mass dependence, we find that vacuum pseudoscalar observables constrain the overall size of the determinant contribution but do not uniquely determine its holographic profile. We then examine how representative profiles compatible with the vacuum pseudoscalar spectrum influence the chiral transition and the Columbia plot. The resulting phase structure is highly profile dependent: some profiles yield crossover/second-order behavior across the explored quark-mass plane, whereas others produce a first-order region in the light-quark corner. Although the model should be regarded as a phenomenological mesonic implementation rather than a complete topological construction of the QCD axial anomaly, it provides a useful framework for tracing how η ′ -sector constraints propagate into holographic chiral thermodynamics.
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BibTeX
@article{liu2026from,
title = {{From η′ physics to the Columbia plot in a U(3) holographic QCD model}},
author = {Xin-Yi Liu and Yue-Liang Wu and Zhen Fang},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)007},
url = {https://link.springer.com/10.1007/JHEP10(2026)007},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - From η′ physics to the Columbia plot in a U(3) holographic QCD model
AU - Xin-Yi Liu
AU - Yue-Liang Wu
AU - Zhen Fang
PY - 2026
DA - 2026/10/01
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)007
UR - https://link.springer.com/10.1007/JHEP10(2026)007
AB - A bstract : We construct a U(3) extension of a soft-wall holographic QCD model to investigate how a phenomenological determinant interaction affects the pseudoscalar nonet and the finite-temperature chiral phase structure. The holographic-coordinate-dependent determinant interaction dynamically generates the η - η ′ mass splitting and singlet-octet mixing. By analyzing pseudoscalar spectra, decay constants, mixing parameters, and quark-mass dependence, we find that vacuum pseudoscalar observables constrain the overall size of the determinant contribution but do not uniquely determine its holographic profile. We then examine how representative profiles compatible with the vacuum pseudoscalar spectrum influence the chiral transition and the Columbia plot. The resulting phase structure is highly profile dependent: some profiles yield crossover/second-order behavior across the explored quark-mass plane, whereas others produce a first-order region in the light-quark corner. Although the model should be regarded as a phenomenological mesonic implementation rather than a complete topological construction of the QCD axial anomaly, it provides a useful framework for tracing how η ′ -sector constraints propagate into holographic chiral thermodynamics.
SN - 1029-8479
ER -