全息方法研究旋转热背景下$J/ψ$介子的谱函数
Spectral Functions of $J/ψ$ Meson in Rotating Thermal Background from Holography
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中文总结 AI 辅助
本研究采用软墙全息模型，探究旋转热背景下$J/ψ$介子的谱函数，通过求解体矢量场运动方程得到不同自旋态的不变质量谱，揭示了旋转系统中矢量介子自旋相关的三重态分裂特性。
中文摘要 AI 辅助
我们在软墙全息模型框架下，研究旋转热背景中$J/ψ$介子的谱函数。整体旋转通过类旋转反德西特度规实现，同时引入局部惯性系，可将矢量场分解为不同自旋态。我们在视界附近采用入射波条件求解体空间内矢量场的运动方程，计算推迟格林函数，并从中提取$J/ψ$的不变质量谱函数。当动量平行于旋转轴时，峰能量发生$-ΩJ_z$的偏移，这符合旋转与角动量耦合的预期，而峰宽几乎与$Ω$无关。当动量沿垂直方向时，自旋$\pm1$态的谱函数明显偏离单峰行为，且能量偏移偏离$-ΩJ_z$。由此得到的谱函数三重态分裂，为理解旋转系统中矢量介子的自旋相关性质提供了全息视角。
英文摘要
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.
