Lattice study of supersymmetry breaking in N=2 supersymmetric quantum mechanics
Lattice study of supersymmetry breaking in N=2 supersymmetric quantum mechanics
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N=2超对称量子力学中超对称破缺的晶格研究
DOI：
10.1016/j.nuclphysb.2019.114783
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Katsumasa Nakayama
中科院分区：
文献类型：
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作者：
Daisuke Kadoh;Katsumasa Nakayama
我们用ARXIV：1803.07960中提出的直接计算方法研究了N=2超对称量子力学晶格模型的超对称性破缺。消失的Witten指数被实现为高精度的数值结果。对于双势垒势，给出了哈密顿量的期望值。与以前的蒙特卡罗结果相比，对于强耦合，所得到的真空能量与已知值在小的误差范围内是一致的。对于弱耦合，也重现了瞬子效应。所用的计算方法有助于我们更精确地评估有限晶格间距的影响，并从晶格计算中研究超对称性破缺的非微扰机制。
We study supersymmetry breaking from a lattice model of N= 2 supersymmetric quantum mechanics using a direct computational method proposed in arXiv: 1803.07960. The vanishing Witten index is realized as a numerical result in high precision. The expectation value of Hamiltonian is evaluated for the double-well potential. Compared to the previous Monte Carlo results, the obtained vacuum energy coincides with the known values within small errors for strong couplings. The instanton effect is also reproduced for weak couplings. The used computational method helps us to evaluate the effect of finite lattice spacings more precisely and to study a non-perturbative mechanism of supersymmetry breaking from lattice computations.