摘要翻译:
我们给出了不变随机矩阵系综的超玻色子化公式的构造性证明,它是Wishart矩阵理论的超对称模拟。给出了酉对称、正交对称和辛对称的公式,但只对正交对称的情况显式地推导出来。该方法有望成为研究一类非高斯型随机矩阵系综谱相关函数普适性的有力工具。
---
英文标题:
《Superbosonization》
---
作者:
Hans-J\"urgen Sommers
---
最新提交年份:
2007
---
分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
--
---
英文摘要:
We give a constructive proof for the superbosonization formula for invariant random matrix ensembles, which is the supersymmetry analog of the theory of Wishart matrices. Formulas are given for unitary, orthogonal and symplectic symmetry, but worked out explicitly only for the orthogonal case. The method promises to become a powerful tool for investigating the universality of spectral correlation functions for a broad class of random matrix ensembles of non-Gaussian type.
---
PDF链接:
https://arxiv.org/pdf/710.5375