The supersymmetric technique for random-matrix ensembles with zero eigenvalues
The supersymmetric technique for random-matrix ensembles with zero eigenvalues
复制标题
零特征值随机矩阵系综的超对称技术
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
D. A. Ivanov
中科院分区：
文献类型：
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作者：
D. A. Ivanov
超对称技术被施加到计算的平均谱密度在大N极限的随机矩阵系综与零特征值：B，DIII-奇数，和手征系综（类AIII，BDI和CII）的零能量附近。超对称计算再现了现有的结果，得到了其他方法。零本征值的影响可以解释为通过打破某种阿贝尔对称性来降低零能量超对称作用量的对称性。
The supersymmetric technique is applied to computing the average spectral density near zero energy in the large-N limit of the random-matrix ensembles with zero eigenvalues: B, DIII-odd, and the chiral ensembles (classes AIII, BDI, and CII). The supersymmetric calculations reproduce the existing results obtained by other methods. The effect of zero eigenvalues may be interpreted as reducing the symmetry of the zero-energy supersymmetric action by breaking a certain Abelian symmetry.