对费米子高斯投影经由对偶态进行规范化以获得晶格规范理论本征态

Gauged 费米子投影经由对偶态 (GFPEPS) 及其高斯型对应物 (GGFPEPS) 是一种新型晶格规范理论 Ansatz 态，融合了蒙特卡罗和张量网络社区的思想。特别地，对此类态的可观测量计算归结为对可能的规范场配置进行蒙特卡罗积分，这些配置的概率由费米子张量网络收缩决定，体现了该背景配置下的物质。关键的是，这种概率分布是正定实数，因此不存在符号问题。当底层 PEPS 为高斯时，张量网络收缩可有效完成，在此情形下该 Ansatz 已通过数值测试良好。 In this work we propose to gauge superpositions of Gaussian PEPS and demonstrate that one can still efficiently compute observables when few Gaussians are in the superposition. As we will argue, the latter is exactly the case for bound states on top of the strongly interacting LGT vacuum, which makes this Ansatz particularly suitable for that scenario. As a corollary, we will provide an exact representation of the LGT ground state as a gauged PEPS.