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arXiv 2302.12450hep-phnucl-th
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重力形状因子的介质修正

Medium Correction to Gravitational Form Factors

Shu Lin, Jiayuan Tian

摘要:

推广了真空中手征费米子的引力形状因子,再现了自旋-涡度耦合。我们还计算了量子电动力学等离子体中引力形状因子的辐射修正。我们发现在对涡旋场中费米子散射振幅有贡献的形状因子中有两种结构,一种是来自费米子自能修正,指向介质中自旋-涡旋耦合的抑制;另一种是来自引力子-费米子顶点修正,不采用势解释,对应初终态之间的跃迁矩阵元。这两种结构都有助于轴向手征涡效应。净效应是辐射校正增强了轴向手征涡旋效应。我们的结果从形状因子的角度阐明了旋涡耦合与轴向手征涡效应之间的联系和区别。我们还讨论了结果在量子色动力学等离子体中的应用,指出辐射修正对重离子碰撞中的自旋极化效应可能有明显的影响。

英文摘要:

We generalize the gravitational form factor for chiral fermion in vacuum, which reproduces the well-known spin-vorticity coupling. We also calculate radiative correction to the gravitational form factors in quantum electrodynamics plasma. We find two structures in the form factors contributing to the scattering amplitude of fermion in vorticity field, one is from the fermion self-energy correction, pointing to suppression of spin-vorticity coupling in medium; the other structure comes from graviton-fermion vertex correction, which does not adopt potential interpretation, but corresponds to transition matrix element between initial and final states. Both structures contribute to axial chiral vortical effect. The net effect is that radiative correction enhances the axial chiral vortical effect. Our results clarify the relation and difference between spin-vorticity coupling and axial chiral vortical effect from the perspective of form factors. We also discuss the application of the results in quantum chromodynamic plasma, indicating radiative correction might have an appreciable effect in spin polarization effect in heavy ion collisions.

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