N=4 supersymmetry on a space-time lattice
N=4 supersymmetry on a space-time lattice
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时空晶格上的 N=4 超对称性
DOI：
10.1103/physrevd.90.065013
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发表时间：
2014
影响因子：
5
通讯作者：
D. Schaich
中科院分区：
文献类型：
--
作者：
S. Catterall;P. Damgaard;T. DeGrand;J. Giedt;D. Schaich
四维最大超对称杨-米尔斯理论可以在时空晶格上表述，同时精确地保留单个超对称性。在这里，我们详细探讨了这种晶格理论，特别关注其强耦合机制。针对规范群 SU(N) 的理论，晶格公式自然地用规范群 U(N) 来描述。尽管 U(1) 自由度在连续极限中解耦，但我们表明这些自由度会在强耦合下导致不需要的晶格伪影。我们证明这些晶格伪影可以被消除，留下基于 SU(N) 规范组的晶格公式，在弱耦合和强耦合下都具有预期的明显共形行为。
Maximally supersymmetric Yang--Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice theory, paying particular attention to its strongly coupled regime. Targeting a theory with gauge group SU(N), the lattice formulation is naturally described in terms of gauge group U(N). Although the U(1) degrees of freedom decouple in the continuum limit we show that these degrees of freedom lead to unwanted lattice artifacts at strong coupling. We demonstrate that these lattice artifacts can be removed, leaving behind a lattice formulation based on the SU(N) gauge group with the expected apparently conformal behavior at both weak and strong coupling.