论文标题
晶格n = 4个超级阳米尔在强耦合处
Lattice N=4 super Yang-Mills at Strong Coupling
论文作者
论文摘要
在本文中，我们通过超对称晶格动作\ cite {cattrall {cattrall：2009It}的n = 4 super yang-mills的数值模拟n = 4 super yang-mills的两种颜色尺度理论。直到最近，该晶格理论的数值研究一直受到迹象问题和晶格伪影阶段在强耦合时的发生。我们最近开发了一个新的动作，似乎能够解决这两个问题。最终的操作仅具有$ su（2）$而不是$ u（2）$量规对称性。通过对费米亚pfaffian的明确计算，我们提供了证据，表明该理论没有符号问题，并且在单个阶段中存在以任意强大的耦合。此外，初步工作表明，超对称性威尔逊环的对数因与全息图预测一致的大$λ$的't hooft耦合$λ$的平方根变化。
In this paper we present results from numerical simulations of N=4 super Yang-Mills for two color gauge theory over a wide range of 't Hooft coupling $0<λ\le 30$ using a supersymmetric lattice action \cite{Catterall:2009it}. Numerical study of this lattice theory has been stymied until recently by both sign problems and the occurrence of lattice artifact phases at strong coupling. We have recently developed a new action that appears capable of solving both problems. The resulting action possesses just $SU(2)$ rather than $U(2)$ gauge symmetry. By explicit computations of the fermion Pfaffian we present evidence that the theory possesses no sign problem and exists in a single phase out to arbitrarily strong coupling. Furthermore, preliminary work shows that the logarithm of the supersymmetric Wilson loop varies as the square root of the 't Hooft coupling $λ$ for large $λ$ in agreement with holographic predictions.
