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Holographic spin alignment for vector mesons
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abstract
We develop a general framework for studying the spin alignment $\rho_{00}$ for flavorless vector mesons by using the gauge/gravity duality. Focusing on the dilepton production through vector meson decay, we derive the relation between production rates at each spin channel and meson's spectral function, which can be evaluated by holographic models for a strongly coupled system. As examples, we study $\rho_{00}$ for $J/\psi$ and $\phi$ mesons, induced by the relative motion to a thermal background, within the soft-wall model. We show that $\rho_{00}$ in the helicity frame for $J/\psi$ and $\phi$ mesons have positive and negative deviations from 1/3 at $T=150$ MeV, respectively, which consequently leads to different properties for their global spin alignments.
Forward citations
Cited by 6 Pith papers
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Spectral Functions of $J/\psi$ Meson in Rotating Thermal Background from Holography
In a rotating thermal medium modeled by soft-wall holography, J/ψ spectral peaks split by −ΩJ_z along the rotation axis and acquire projection-dependent distortions for transverse momentum.
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Tensor spin polarization induced by curved freeze-out hypersurface
The curvature of the freeze-out hypersurface induces a tensor spin polarization of vector mesons at leading gradient order, with predicted phi-meson spin alignment around -10^-4 to -10^-3.
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Is the shear induced spin polarization non-dissipative?
Shear-induced spin polarization leaves the momentum-integrated entropy production rate unchanged in chiral kinetic theory, but Zubarev's linear response suggests a dissipative origin.
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Gluon polarization contribution to the spin alignment of vector mesons from holography
A soft-wall holographic QCD model with a rotation-dependent gluon field predicts that rotation enhances the spin alignment of phi and rho mesons at high pT while J/psi stays nearly unaffected.
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Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
Vector meson spin alignment at local equilibrium is shown to arise only at second order in thermodynamic gradients, with explicit analytic formulas for the contributing terms.
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Spin alignment of vector mesons in local equilibrium by Zubarev's approach
The spin alignment rho00-1/3 vanishes at first order in gradients in local equilibrium, with nonzero contributions first appearing at second order, in a pseudo-gauge dependent way.
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