论文标题
晶格田间理论的一个骨正规化：这只是梦想吗？
One-thimble regularisation of lattice field theories: is it only a dream?
论文作者
论文摘要
提出了（晶格）场理论的Lefschetz Thimbles正则化，作为解决标志问题的可能解决方案。尽管优雅且概念上简单，但它具有许多微妙之处，这是一个巨大的问题，归结为一个简单的问题：我们应该考虑多少顶针？在原始公式中，提出了一个单一的统治假设：在热力学限制中，普遍性论点可以支持一个场景，在这种情况下，主要的顶针（与动作的全球最小值相关联）捕获了现场理论的物理内容。到目前为止，我们知道许多反例，我们一直在追求多层状模拟。尽管如此，单个顶针正则化将是真正的突破。我们报告了正在进行的工作，目的是针对晶格场理论的单个顶针配方，特别是提出了对泰勒在主要顶针进行泰勒扩展的提议。
Lefschetz thimbles regularisation of (lattice) field theories was put forward as a possible solution to the sign problem. Despite elegant and conceptually simple, it has many subtleties, a major one boiling down to a plain question: how many thimbles should we take into account? In the original formulation, a single thimble dominance hypothesis was put forward: in the thermodynamic limit, universality arguments could support a scenario in which the dominant thimble (associated to the global minimum of the action) captures the physical content of the field theory. We know by now many counterexamples and we have been pursuing multi-thimble simulations ourselves. Still, a single thimble regularisation would be the real breakthrough. We report on ongoing work aiming at a single thimble formulation of lattice field theories, in particular putting forward the proposal of performing Taylor expansions on the dominant thimble.
