Direct computational approach to lattice supersymmetric quantum mechanics

被引:6
|
作者
Kadoh, Daisuke [1 ]
Nakayama, Katsumasa [2 ,3 ]
机构
[1] Keio Univ, Res & Educ Ctr Nat Sci, Yokohama, Kanagawa 2238521, Japan
[2] Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, Japan
[3] High Energy Accelerator Res Org KEK, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan
关键词
WESS-ZUMINO MODEL; WZ MODEL; BREAKING; SIMULATION; SYMMETRY;
D O I
10.1016/j.nuclphysb.2018.05.012
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study the lattice supersymmetric models numerically using the transfer matrix approach. This method consists only of deterministic processes and has no statistical uncertainties. We improve it by performing a scale transformation of variables such that the Witten index is correctly reproduced from the lattice model, and the other prescriptions are shown in detail. Compared to the precious Monte-Carlo results, we can estimate the effective masses, SUSY Ward identity and the cut-off dependence of the results in high precision. Those kinds of information are useful in improving lattice formulation of supersymmetric models. (C) 2018 The Authors. Published by Elsevier B.V.
引用
收藏
页码:278 / 297
页数:20
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