强耦合下N=4格点的超级Yang-Mills
Lattice N=4 super Yang-Mills at Strong Coupling
摘要：
在本文中，我们给出了用超对称格点作用量\cite{Catterall:2009it}在宽的t Hooft耦合$0<λ\le 30$范围内对N=4的双色规范理论进行数值模拟的结果。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。结果作用量只具有$SU(2)$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，超对称威尔逊圈的对数变化的t Hooft耦合$λ$的平方根大$λ$与全息预测。
英文摘要：
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.
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