Fytas Nikolaos G, Martín-Mayor Víctor, Parisi Giorgio, Picco Marco, Sourlas Nicolas
Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom.
Departamento de Física Téorica I, Universidad Complutense, 28040 Madrid, Spain.
Phys Rev Lett. 2019 Jun 21;122(24):240603. doi: 10.1103/PhysRevLett.122.240603.
We provide a nontrivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered system with some other correlation functions in a D-2 clean system. We first show how to check these relationships in a finite-size scaling calculation and then perform a high-accuracy test. While the supersymmetric predictions are satisfied even to our high accuracy at D=5, they fail to describe our results at D=4.
我们通过广泛的零温度数值模拟，对五维随机场伊辛模型中的超对称性进行了重要检验。实际上，超对称性将D维无序系统中的关联函数与D-2维清洁系统中的其他一些关联函数联系起来。我们首先展示如何在有限尺寸标度计算中检验这些关系，然后进行高精度测试。虽然在D = 5时，即使以我们的高精度，超对称预测也能得到满足，但在D = 4时，它们无法描述我们的结果。
