论文标题
Fermi-Dirac和Bose-Einstein Statistics的非符号Bjorken流动的复兴
Resurgence for the non-conformal Bjorken flow with Fermi-Dirac and Bose-Einstein statistics
论文作者
论文摘要
我们认为，对于扩展的松弛时间近似，对非宪法比约克语流量的复兴。我们首先考虑在平衡周围扩展的完整形式的跨系列，然后通过寻找鲍尔转化的ODE的结构来构建复兴的关系。我们基于考虑的考虑因素形成了复兴关系的猜想，即构成复兴关系的构成仅起源于骨平面上耗散变量的奇异性，并且其他变量（例如温度和化学电位）（例如温度和化学电位）会通过散发性词与散发性变量与散失的术语无效。我们通过数值来检查猜想是否通过根据初始条件和粒子质量来明确评估主要的Stokes的值来检查基本变量。我们还对与跨系列结构和复兴有关的某些问题发表评论，例如破裂的$ u（1）$对称性，无质量的情况，普遍的放松时间和吸引者解决方案。
We consider resurgence for the nonconformal Bjorken flow with Fermi-Dirac and Bose-Einstein statistics on the extended relaxation-time approximation. We firstly consider full formal transseries expanded around the equilibrium and then construct the resurgent relation by looking to the structure of Borel transformed ODEs. We form a conjecture of the resurgent relation based on the considerations that Stokes constants constituting of the resurgent relation originate only from singularities of dissipative variables on the Borel plane and that the other variables such as temperature and chemical potential become Borel nonsummable through nonlinear terms with the dissipative variables. We numerically check the conjecture for fundamental variables by explicitly evaluating values of the dominant Stokes constant depending on initial conditions and a particle mass. We also make comments on some issues related to transseries structure and resurgence such as the case of broken $U(1)$ symmetry, the massless case, generalized relaxation-time, and attractor solution.
