Spectral Functions of $J/ψ$ Meson in Rotating Thermal Background from Holography

Abstract

We investigate the spectral functions of the $J/ψ$ meson in a rotating thermal background within the soft-wall holographic model. The global rotation is implemented through a rotating AdS-like metric, while a local inertial frame is introduced in which the vector field can be decomposed into different spin states. We solve the equations of motion of the vector field in the bulk with incoming wave condition near the horizon and compute the retarded Green function, from which we extract the invariant-mass spectral functions for $J/ψ$. When the momentum is parallel to the rotation axis, the peak energies shift by $-ΩJ_z$, as expected by a coupling between rotation and angular momentum, while the widths are nearly independent to $Ω$. When the momentum is in perpendicular direction, the spectral functions for spin-$\pm1$ states deviate significantly from the single-peak behavior and the energy shifts depart from $-ΩJ_z$. The resulting triplet splittings of the spectral functions provides a holographic perspective on spin-dependent vector meson properties in rotating systems.