近日，塞尔维亚贝尔格莱德大学的Mihailo Cubrovic及其研究团队取得一项新进展。经过不懈努力，他们揭示了弦S矩阵中的弱混沌和混合动力学。相关研究成果已于2024年3月15日在国际知名学术期刊《高能物理杂志》上发表。

该研究团队深入探讨了树层级S矩阵中的混沌动力学，特别关注了在高激发状态下开放和闭合玻色弦上超光速子、光子和重子间的散射过程，这一过程受到弦/黑洞互补性的驱动。通过分析本征相空间分布以及量子混沌散射的其他指标，他们发现动力学呈现出弱混沌的特性，这种混沌由规则/泊松过程和混沌/Wigner-Dyson过程共同构成。

然而，仅在动量和光子散射角达到某些特定值时，研究人员才观察到类似随机矩阵的强混沌现象。这些特殊值揭示了两种散射状态之间的交叉现象，这种交叉受到高激发弦总占据数长短分区的影响，并且能使S矩阵的信息熵达到最大化。由于缺乏强混沌现象，研究团队认为高激发弦的微扰动力学无法全面描述，黑洞视界的普遍性质及其所展现的最大混沌特性。

附：英文原文

Title: Weak chaos and mixed dynamics in the string S-matrix

Author: Savic, Nikola, Cubrovic, Mihailo

Issue&Volume: 2024-03-15

Abstract: We investigate chaotic dynamics in tree-level S-matrices describing the scattering of tachyons, photons and gravitons on highly excited open and closed bosonic strings, motivated by the string/black hole complementarity. The eigenphase spacing distribution and other indicators of quantum chaotic scattering suggest that the dynamics is only weakly chaotic, consisting of both regular/Poisson and chaotic/Wigner-Dyson processes. Only for special values of momenta and (for photon scattering) scattering angles do we find strong chaos of random matrix type. These special values correspond to a crossover between two regimes of scattering, dominated by short versus long partitions of the total occupation number of the highly excited string; they also maximize the information entropy of the S-matrix. The lack of strong chaos suggests that perturbative dynamics of highly excited strings can never describe the universal properties and maximal chaos of black hole horizons.

DOI: 10.1007/JHEP03(2024)101

Source: https://link.springer.com/article/10.1007/JHEP03(2024)101