论文标题
朝着胶合球质量大的$ n〜 \ mathrm {su}（n）$ yang-mills理论，而无需通过平行降温在边界条件下进行拓扑冻结
Towards glueball masses of large-$N~\mathrm{SU}(N)$ Yang-Mills theories without topological freezing via parallel tempering on boundary conditions
论文作者
论文摘要
标准的本地更新算法经历了接近连续限制的关键减速，这对于拓扑可观察物尤为严重。实际上，马尔可夫链倾向于仍然被困在固定拓扑部门中。这个问题进一步加剧了$ n $，被称为$ \ mathit {拓扑}〜\ mathit {freezing} $。为了减轻它，我们采用了M. Hasenbusch提出的边界条件的平行回火。该算法允许将拓扑电荷的自动相关时间减少到几个数量级。通过这种策略，我们能够首先计算与拓扑冻结有关的任何系统学的大本上的低洼粘合球质量。
Standard local updating algorithms experience a critical slowing down close to the continuum limit, which is particularly severe for topological observables. In practice, the Markov chain tends to remain trapped in a fixed topological sector. This problem further worsens at large $N$, and is known as $\mathit{topological}~\mathit{freezing}$. To mitigate it, we adopt the parallel tempering on boundary conditions proposed by M. Hasenbusch. This algorithm allows to obtain a reduction of the auto-correlation time of the topological charge up to several orders of magnitude. With this strategy we are able to provide the first computation of low-lying glueball masses at large $N$ free of any systematics related to topological freezing.
