The CP-odd sector and $\theta$ dynamics in holographic QCD

Abstract

The holographic model of V-QCD is used to analyze the physics of QCD in the Veneziano large-N limit. An unprecedented analysis of the CP-odd physics is performed going beyond the level of effective field theories. The structure of holographic saddle-points at finite $\theta$ is determined, as well as its interplay with chiral symmetry breaking. Many observables (vacuum energy and higher-order susceptibilities, singlet and non-singlet masses and mixings) are computed as functions of $\theta$ and the quark mass $m$. Wherever applicable the results are compared to those of chiral Lagrangians, finding agreement. In particular, we recover the Witten-Veneziano formula in the small $x\to 0$ limit, we compute the $\theta$-dependence of the pion mass and we derive the hyperscaling relation for the topological susceptibility in the conformal window in terms of the quark mass.

58 pages plus appendices, 19 figures. V2: section 3.1 improved, typos corrected, published version

References in corpus (25)

• The Chiral Magnetic Effect
• Exploring improved holographic theories for QCD: Part II
• Chiral symmetry breaking as open string tachyon condensation
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• The Sphaleron Rate in SU(N) Gauge Theory
• Improved Holographic QCD
• Sakai-Sugimoto model, Tachyon Condensation and Chiral symmetry Breaking
• Quark mass and condensate in HQCD
• An AdS/QCD model from tachyon condensation: II
• Dissecting the string theory dual of QCD
• Tachyon condensation and quark mass in modified Sakai-Sugimoto model
• Holographic QCD with Dynamical Flavors
• Anomalous Magneto Response and the Stückelberg Axion in Holography
• An AdS/QCD model from Sen's tachyon action
• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• (Non)renormalization of Anomalous Conductivities and Holography
• Quantum and stringy corrections to the equation of state of holographic QCD matter and the nature of the chiral transition
• Axial current generation by P-odd domains in QCD matter
• S-parameter, Technimesons, and Phase Transitions in Holographic Tachyon DBI Models
• Spectral Functions in V-QCD with Matter: Masses, Susceptibilities, Diffusion and Conductivity
• Meson spectra of asymptotically free gauge theories from holography
• A mass-dependent beta-function
• Unquenched flavor in the gauge/gravity correspondence
• Hyper-Scaling Relations in the Conformal Window from Dynamic AdS/QCD
• On the gluon operator effective potential in holographic Yang-Mills theory

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