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The supersymmetric technique for random-matrix ensembles with zero eigenvalues
- Publication Year :
- 2001
-
Abstract
- 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.<br />22 pages, introduction modified, one reference added
- Subjects :
- Physics
Condensed Matter (cond-mat)
High Energy Physics::Phenomenology
Zero (complex analysis)
Zero-point energy
FOS: Physical sciences
Statistical and Nonlinear Physics
Condensed Matter
Symmetry (physics)
Action (physics)
Limit (mathematics)
Abelian group
Random matrix
Mathematical Physics
Eigenvalues and eigenvectors
Mathematical physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....050557fc42fdcf81022c2d920ae5fb83