标题： Thirring 模型在 2+1 维$d$中使用优化的域墙费米子 显示英文标题

标题： The Thirring Model in 2+1$d$ with Optimised Domain Wall Fermions

摘要： 在简要回顾了在2+1维$d$中用可约费米子表述的$N$-味Thirring模型可能表现出强耦合紫外稳定不动点的潜力之后，该不动点由费米子双线性凝聚体自发破缺$2N$对称性，我们介绍了最近使用Domain Wall费米子表述的格点研究。 特别地，我们集中于通过部分淬火（即$L_s({\rm valence})>L_s({\rm sea})$）、在重叠算符的定义中用Wilson核替换Shamir核，以及利用Zolotarev逼近改进signum函数的估计等方法，提取必要的$L_s\to\infty$极限的可能性，其中$L_s$是墙间距。 对于$12^3$系统上临界指数的状态方程拟合显示，不同方法之间的一致性令人鼓舞，这与普适标度一致，同时反驳了基于幼稚外推的早期拟合。 新的结果也与使用交错费米子获得的老结果存在矛盾。 显示英文摘要

摘要： After briefly reviewing the potential for the $N$-flavor Thirring model, formulated with reducible fermions in 2+1$d$, to exhibit a strongly-coupled UV-stable fixed point where U($2N$) symmetry is spontaneously broken by a fermion bilinear condensate, we present recent lattice studies using the Domain Wall Fermion formulation. In particular, we focus on possible improved methods for extracting the necessary $L_s\to\infty$ limit, where $L_s$ is the wall separation, through a combination of partial quenching (ie. $L_s({\rm valence})>L_s({\rm sea})$), replacing the Shamir kernel with the Wilson kernel in the definition of the overlap operator, and improved estimation of the signum function using the Zolotarev approximation. Equation of state fits for critical exponents on $12^3$ systems yield encouraging agreement between distinct approaches, consistent with universal scaling, while contradicting earlier fits based on a naive extrapolation. The new results are also in tension with old results obtained with staggered fermions.