Quantum chaos in supersymmetric QCD at finite density
We investigate the distribution of the spacings of adjacent eigenvalues of the lattice Dirac operator. At zero chemical potential µ, the nearest-neighbor spacing distribution P(s) follows the Wigner surmise of random matrix theory both in the confinement and in the deconfinement phase. This is indic...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
01 January 2004
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| In: |
Progress of theoretical physics. Supplement
Year: 2004, Volume: 153, Pages: 295-300 |
| DOI: | 10.1143/PTPS.153.295 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1143/PTPS.153.295
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| Author Notes: | Elmar Bittner, Simon Hands, Harald Markum and Rainer Pullirsch |
| Summary: | We investigate the distribution of the spacings of adjacent eigenvalues of the lattice Dirac operator. At zero chemical potential µ, the nearest-neighbor spacing distribution P(s) follows the Wigner surmise of random matrix theory both in the confinement and in the deconfinement phase. This is indicative of quantum chaos. At nonzero chemical potential, the eigenvalues of the Dirac operator become complex and we discuss how P(s) can be defined in the complex plane. Numerical results from an SU(2) simulation with staggered fermions in fundamental and adjoint representations are compared with predictions from non-hermitian random matrix theory, and agreement with the Ginibre ensemble is found for µ≈0.5. |
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| Item Description: | Gesehen am 13.10.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.1143/PTPS.153.295 |