论文标题
Supersphere非线性Sigma模型在晶格上
Supersphere non-linear sigma model on the lattice
论文作者
论文摘要
二维$ O（N）$非线性Sigma模型是可解决的理论，并且具有许多应用程序，从统计力学到用作QCD玩具模型。我们考虑一个超对称扩展，这是SuperSphere〜 $ S^{n+2m-1 | 2m | 2m} \ equiv \ equiv \ frac {osp（n+2m | 2m）} {osp（n+2m-1 | 2m | 2m）} $的非线性Sigma模型。我们简要描述了其重新归一化的特性和晶格离散化，并提出了数值模拟的策略以及一些初步的数值结果。
Two-dimensional $O(N)$ non-linear sigma models are exactly solvable theories and have many applications, from statistical mechanics to their use as QCD toy models. We consider a supersymmetric extension, the non-linear sigma model on the supersphere~$S^{N+2m-1|2m}\equiv \frac{OSP(N+2m|2m)}{OSP(N+2m-1|2m)}$. We briefly describe its renormalization properties and lattice discretization, and present a strategy for numerical simulations together with some preliminary numerical results.
