发表机构
Damghan University; Khazar University; Canadian Quantum Research Center; Asian School of Business（达姆甘大学; 哈萨尔大学; 加拿大量子研究中心; 亚洲商学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究探讨旋转夸克胶子等离子体中超子极化的最小长度修正，通过广义不确定性原理分析其对超子极化的影响，指出当前LHC精度暂无法检验该效应，需开展微分测量。
AI 中文摘要
相对论重离子碰撞中的超子极化可灵敏探测热涡度与局域平衡的算符结构。我们通过局域静止系（LRF）中单粒子相空间态密度的自旋无关标量形变，研究各向同性广义不确定性原理（GUP）。我们采用Belinfante-Rosenfeld局域平衡算符、标准在壳色散关系以及自旋-1/2可观测量的Pauli-Lubanski/轴向Wigner表示，保留GUP系数的线性项与流体动力学梯度项。同一标量GUP因子出现在标量与轴向相空间贡献中，在固定时空点与动量处的局域平均自旋比中相互抵消。因此，对实验相关极化可观测量的主导GUP贡献源于Cooper-Frye冻出积分，可表示为LRF动量不变量与局域自旋核之间的协方差。该抵消是固定赝规范内态密度标量修正的结果，并不意味着极化可观测量与赝规范无关。对于Λ超子，麦克斯韦-玻尔兹曼热估计显示，其对冻出温度与流体动力学关联的依赖远大于费米-狄拉克修正，在考虑的温度范围内后者可忽略。当前大型强子对撞机（LHC）的精度仅对应约10-30 GeV⁻²量级的形式线性灵敏度，由于该区间超出线性GUP展开的可靠适用范围，未得出排除限。超子极化作为动量、快度、碰撞中心度与方位角谐波结构函数的微分测量，是检验预测协方差依赖的最直接实验途径。
英文摘要
Hyperon polarization in relativistic heavy-ion collisions sensitively probes thermal vorticity and the operator structure of local equilibrium. We investigate an isotropic generalized uncertainty principle (GUP) via a spin-independent scalar deformation of the one-particle phase-space density of states in the local rest frame (LRF). We employ the Belinfante-Rosenfeld local-equilibrium operator, the standard on-shell dispersion relation, and the Pauli-Lubanski/axial-Wigner representation of the spin-$1/2$ observable, retaining terms linear in the GUP coefficient and in hydrodynamic gradients. The same scalar GUP factor appears in the scalar and axial phase-space contributions and cancels from the local mean-spin ratio at fixed spacetime point and momentum. Thus, the leading GUP contribution to an experimentally relevant polarization observable arises through the Cooper-Frye freeze-out integrals and can be expressed as a covariance between the LRF momentum invariant and the local spin kernel. This cancellation is a consequence of the scalar density-of-states modification within a fixed pseudogauge and does not imply pseudogauge independence of the polarization observable. For $Λ$ hyperons, a Maxwell-Boltzmann thermal estimate shows that the dependence on freeze-out temperature and fluid-dynamical correlations is substantially larger than the Fermi-Dirac correction, which remains negligible over the temperature range considered. Present LHC precision corresponds only to a formal linear sensitivity of order $10$-$30~\mathrm{GeV}^{-2}$. Since this interval lies beyond the domain in which the linear GUP expansion is reliable, no exclusion limit is inferred. Differential measurements of hyperon polarization as functions of momentum, rapidity, collision centrality, and azimuthal harmonic structure provide the most direct experimental avenue for testing the predicted covariance dependence.
Comments15 pages, 3 figures
Journal refJ. Phys. G: Nucl. Part. Phys. 53 (2026) 095108
