Lattice $$ \mathcal{N} $$ = 4 super Yang-Mills at strong coupling
Lattice $$ \mathcal{N} $$ = 4 super Yang-Mills at strong coupling
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格子 $$ mathcal{N} $$ = 4 强耦合下的超杨-米尔斯
DOI：
10.1007/jhep12(2020)140
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
G. Toga
中科院分区：
文献类型：
--
作者：
S. Catterall;J. Giedt;G. Toga
在本文中，我们提出的结果从数值模拟N=4的超级杨米尔斯双色规范理论在广泛的范围内的t Hooft耦合$0<\lambda\le 30$使用超对称晶格作用\cite{卡特拉尔：2009它}。这种晶格理论的数值研究一直受到阻碍，直到最近的符号问题和晶格伪影相位在强耦合的发生。我们最近开发了一种新的行动，似乎能够解决这两个问题。由此产生的作用量只具有SU（2）而不是U（2）规范对称性。通过对费米子Pfundian的显式计算，我们证明了该理论不存在符号问题，并且存在于任意强耦合的单相中。此外，初步的工作表明，超对称威尔逊回路的对数变化的平方根的't Hooft耦合$\lambda$大$\lambda $与全息预测。
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 $0<\lambda\le 30$ 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 $\lambda$ for large $\lambda$ in agreement with holographic predictions.
影响因子：
5
作者：
Catterall S
通讯作者：
Catterall S
来自晶格超级杨米尔斯的 D1-膜在圆上的热相
影响因子：
5.4
作者：
Catterall S
通讯作者：
Catterall S