标题： 关于BBGKY层次结构：玻尔兹曼方程之外的方案及其在弱约束QCD气体中的应用 显示英文标题

标题： Towards the BBGKY hierarchy: a scheme beyond the Boltzmann equation and application to a weakly confined QCD gas

摘要： 在经典 kinetic 理论中，BBGKY 级联是一组无穷的积分-微分方程链，用$N$-粒子分布函数描述了完整的可逆时间（Liouville）相互作用（准）粒子系统。 在这项工作中，我们没有像 Boltzmann 方程那样在最低级别截断级联，而是开发了一种类似于松弛时间近似的方法，原则上可以解释整个方程链。 然后我们明确研究了 BBGKY 级联第二级别的截断，并在该方案内研究了弱约束强子气体中守恒算符关联函数的谱。 我们还讨论了这些更高级别如何解释“更深的紫外区域”中的算符谱，并将其与从全息对偶性推导出的已知结果进行比较。 显示英文摘要

摘要： In classical kinetic theory, the BBGKY hierarchy is an infinite chain of integro-differential equations that describes the full time-reversal-invariant (Liouville) system of interacting (quasi)-particles in terms of $N$-particle distribution functions. In this work, instead of truncating the hierarchy at the lowest level, as is done by the Boltzmann equation, we develop a scheme similar to the relaxation time approximation that is in principle able to account for the entire chain of equations. We then explicitly investigate its truncation at the second level of the BBGKY hierarchy and, within this scheme, study the spectra of conserved operator correlation functions in a gas of weakly confined hadrons. We also discuss how these higher levels account for parts of the operator spectra `deeper in the ultra-violet regime' and compare them to known results derived from the holographic duality.