发表机构
Department of Physics, Aligarh Muslim University（阿利加尔穆斯林大学物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究高能QCD演化中混沌的目标相关性，证明固定耦合JIMWLK演化的切线统计量不携带目标系综信息，空间非局域噪声可规避该结论。
AI 中文摘要
混沌演化用于衡量邻近构型分离的速率，但这种快速演化的存在本身并不能确定该演化实际携带的物理信息。针对带有新鲜横向局域、色各向同性噪声的固定耦合JIMWLK演化，我们证明这种区分变得精确，进而得到一个不可能性定理。在有限快度步长和有限横向正则化条件下，精确的线性化更新仅通过新鲜色各向同性噪声的局域伴随旋转依赖于Wilson线背景。一旦对过去进行条件化，这些旋转会使完整的局域噪声测度保持不变，因此切线过程对于采用相同正则化固定耦合动力学演化的任意目标系综（包括稀疏和饱和系综）具有相同的概率律。在移除精确的全局色旋转模式后，约化切线过程具有正的主导李雅普诺夫指数，表明其存在混沌演化。因此，固定耦合JIMWLK可以在动力学上是混沌的，而其仅切线的统计量不携带关于目标系综的信息。然而，空间非局域噪声会规避该论证，因为不同位置之间的关联会保留条件协方差中的相对Wilson线。
英文摘要
Chaotic evolution measures how rapidly nearby configurations separate, but the existence of such rapid evolution does not by itself determine what physical information the evolution actually carries. For fixed-coupling JIMWLK evolution with fresh transverse-local, color-isotropic noise, we show that this distinction becomes exact - leading to a no go theorem. At finite rapidity step and finite transverse regulator, the exact linearized update depends on the Wilson-line background only through local adjoint rotations of fresh color-isotropic noise. Once the past is conditioned upon, these rotations leave the complete local noise measure invariant, so the tangent process has the same probability law for any target ensemble evolved with the same regulated fixed-coupling dynamics, including dilute and saturated ensembles. After the exact global color-rotation mode is removed, the reduced tangent process found to have a positive leading Lyapunov exponent which indicate chaotic evolution. Fixed-coupling JIMWLK therefor can be dynamically chaotic while its tangent-only statistics carry no information about the target ensemble. Spatially nonlocal noise however evades the argument because correlations between distinct sites leave relative Wilson lines in the conditional covariance.
