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Improved Holographic QCD on a Curved Background: an Application of Dynamical System Theory in Holography

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arxiv 2505.10703 v1 pith:XMWQS6GF submitted 2025-05-15 hep-th hep-ph

classification hep-thhep-ph
keywords curvatureholographictheoryphaseclassdynamicalihqcdoccurs
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abstract

The finite-curvature phase diagram of IHQCD, a bottom-up holographic model for large $N_c$ non-supersymmetric YM$_4$, is investigated. This holographic theory belongs to a class of Einstein-Dilaton theories that exhibit no scaling in the IR. We use advanced techniques from dynamical system theory to address this problem that is harder than other holographic setups. We classify all solutions where the dual theory is defined on a constant curvature manifold, both with positive and negative curvature. For general theories in this class a quantum phase transition occurs at finite curvature. For IHQCD in particular, we find that the phase transition occurs at zero curvature.

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Cited by 1 Pith paper

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  1. On the spectra of holographic QFTs on constant curvature manifolds

    hep-th 2025-05 conditional novelty 7.0 of 10

    For holographic QFTs on constant-curvature manifolds, the spectrum is always discrete for negative curvature and always has a continuous component starting at m^2 = (9/4)α^{-2} for positive curvature.

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