Axial-anomaly effects and chiral phase structure in holographic QCD

Fuente: arXiv
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Autores principales: Liu, Xin-Yi, Wu, Yue-Liang, Fang, Zhen
Formato: Preprint
Publicado: 2026
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author Liu, Xin-Yi
Wu, Yue-Liang
Fang, Zhen
author_facet Liu, Xin-Yi
Wu, Yue-Liang
Fang, Zhen
contents We study the impact of axial-anomaly effects on the chiral phase structure in a $U(3)$-extended soft-wall holographic QCD model. Including the pseudoscalar singlet sector allows for a dynamical description of the $η$-$η^\prime$ system through a determinant interaction with a holographic-coordinate-dependent strength. Vacuum pseudoscalar observables, particularly the $η^\prime$ mass and the $η$-$η^\prime$ mixing pattern, constrain the overall magnitude of the anomaly contribution but leave its holographic profile largely undetermined. We then examine how different anomaly profiles consistent with vacuum phenomenology affect the finite-temperature chiral transition. Constructing the Columbia plot within this framework, we find that the predicted phase structure depends sensitively on the anomaly implementation: some profiles yield crossover/second-order behavior across the entire quark-mass plane, while others generate a first-order region in the light-quark corner. These results highlight the strong sensitivity of the holographic QCD phase structure to the modeling of axial-anomaly effects.
format Preprint
id arxiv_https___arxiv_org_abs_2603_12616
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Axial-anomaly effects and chiral phase structure in holographic QCD
Liu, Xin-Yi
Wu, Yue-Liang
Fang, Zhen
High Energy Physics - Phenomenology
We study the impact of axial-anomaly effects on the chiral phase structure in a $U(3)$-extended soft-wall holographic QCD model. Including the pseudoscalar singlet sector allows for a dynamical description of the $η$-$η^\prime$ system through a determinant interaction with a holographic-coordinate-dependent strength. Vacuum pseudoscalar observables, particularly the $η^\prime$ mass and the $η$-$η^\prime$ mixing pattern, constrain the overall magnitude of the anomaly contribution but leave its holographic profile largely undetermined. We then examine how different anomaly profiles consistent with vacuum phenomenology affect the finite-temperature chiral transition. Constructing the Columbia plot within this framework, we find that the predicted phase structure depends sensitively on the anomaly implementation: some profiles yield crossover/second-order behavior across the entire quark-mass plane, while others generate a first-order region in the light-quark corner. These results highlight the strong sensitivity of the holographic QCD phase structure to the modeling of axial-anomaly effects.
title Axial-anomaly effects and chiral phase structure in holographic QCD
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2603.12616