Yang-Mills理论在$(3+1)$维小格点系统中的热化
Thermalization of Yang-Mills theory in a $(3+1)$ dimensional small lattice system
摘要：
研究了SU（$2$）Yang-Mills理论在$(3+1)$维小晶格系统中相互作用淬灭后的实时演化.我们数值求解薛定谔方程的Kogut-Susskind哈密顿量在物理希尔伯特空间中通过解决高斯定律的约束。我们观察到一个威尔逊圈的热化的正则状态，弛豫时间是不敏感的耦合强度，并估计为$τ_{\rm eq}\sim 2π/T$与温度$T$在稳态。我们还计算了真空持续概率（Loschlaughecho），以了解从波函数的动力学弛豫。
英文摘要：
We study the real-time evolution of SU($2$) Yang-Mills theory in a $(3+1)$ dimensional small lattice system after interaction quench. We numerically solve the Schr{ö}dinger equation with the Kogut-Susskind Hamiltonian in the physical Hilbert space obtained by solving Gauss law constraints. We observe the thermalization of a Wilson loop to the canonical state; the relaxation time is insensitive to the coupling strength, and estimated as $τ_{\rm eq}\sim 2π/T$ with temperatures $T$ at steady states. We also compute the vacuum persistence probability (the Loschmidt echo) to understand the relaxation from the dynamics of the wave function.
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