N=4 supersymmetry on a space-time lattice

被引：33

作者：

Catterall, Simon ^{[1
]}

Schaich, David ^{[1
]}

Damgaard, Poul H. ^{[2
,3
]}

DeGrand, Thomas ^{[4
]}

Giedt, Joel ^{[5
]}

机构：

[1] Syracuse Univ, Dept Phys, Syracuse, NY 13244 USA

[2] Univ Copenhagen, Niels Bohr Inst, Niels Bohr Int Acad, DK-2100 Copenhagen, Denmark

[3] Univ Copenhagen, Niels Bohr Inst, Discovery Ctr, DK-2100 Copenhagen, Denmark

[4] Univ Colorado, Dept Phys, Boulder, CO 80309 USA

[5] Rensselaer Polytech Inst, Dept Phys Appl Phys & Astron, Troy, NY 12065 USA

来源：

PHYSICAL REVIEW D | 2014年 / 90卷 / 06期

基金：

美国国家科学基金会;

关键词：

MONTE-CARLO; GAUGE-THEORIES; WILSON LOOPS;

D O I：

10.1103/PhysRevD.90.065013

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：21

共 44 条

[1]

[Anonymous], 2011, arXiv:1112.5413 [hep-lat]

[2] QUANTUM CHROMODYNAMICS ON A SIMPLICIAL LATTICE [J].