标题： 旋转夸克物质在傅里叶-贝塞尔基下的灵敏度 显示英文标题

标题： Susceptibilities of rotating quark matter in Fourier-Bessel basis

摘要： 我们分析了在有限温度下旋转的有限尺寸圆柱体中费米子双线性量的各种两点关联函数，重点在于磁化率函数。由于径向平移的非不变性，磁化率函数是使用狄拉克传播子在傅里叶-贝塞尔基下构造的，而不是平面波基。作为展示相互作用理论中磁化率函数的具体模型，我们采用了两味Nambu-Jona-Lasinio模型。我们表明，在局部密度近似下，平均场分析与傅里叶-贝塞尔基之间的不相容性被避免，并借助Ward-Takahashi恒等式推导出磁化率的重求和公式。所得的公式揭示了旋转效应对介子、重子数和拓扑磁化率以及转动惯量的影响。我们的结果可能为未来在旋转参考系中的格点QCD模拟提供有用的基准。 显示英文摘要

摘要： We analyze various two-point correlation functions of fermionic bilinears in a rotating finite-size cylinder at finite temperatures, with a focus on susceptibility functions. Due to the noninvariance of radial translation, the susceptibility functions are constructed using the Dirac propagator in the Fourier-Bessel basis instead of the plane-wave basis. As a specific model to demonstrate the susceptibility functions in an interacting theory, we employ the two-flavor Nambu-Jona-Lasinio model. We show that the incompatibility between the mean-field analysis and the Fourier-Bessel basis is evaded under the local density approximation, and derive the resummation formulas of susceptibilities with the help of a Ward-Takahashi identity. The resulting formulation reveals the rotational effects on meson, baryon number, and topological susceptibilities, as well as the moment of inertia. Our results may serve a useful benchmark for future lattice QCD simulations in rotating frames.