论文标题
$θ=π$和自旋链的1+1D量子场理论的第一原则模拟
First-principle simulations of 1+1d quantum field theories at $θ=π$ and spin-chains
论文作者
论文摘要
我们提供了一项针对2Favor $ u(1)$ gauge-higgs模型量子场理论的晶格研究,其拓扑术语为$θ=π$。由于符号问题,在标准晶格配方中,此类研究的昂贵。使用该模型的新型离散化,加上精确的晶格双重化,我们克服了标志问题并可靠地模拟了此类系统。我们的工作提供了第一个从头算的演示,即模型在自旋链通用类中,并演示了$ u(1)$量规理论的新方法的力量。
We present a lattice study of a 2-flavor $U(1)$ gauge-Higgs model quantum field theory with a topological term at $θ=π$. Such studies are prohibitively costly in the standard lattice formulation due to the sign-problem. Using a novel discretization of the model, along with an exact lattice dualization, we overcome the sign-problem and reliably simulate such systems. Our work provides the first ab initio demonstration that the model is in the spin-chain universality class, and demonstrates the power of the new approach to $U(1)$ gauge theories.