Quantum chaos and chiral symmetry at the QCD and QED phase transition
We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) gauge theory and in full QCD as well as in quenched U(1) theory. As a measure of the fluctuation properties of the eigenvalues, we consider the nearest-neighbor spacing distribution. We find that in all regions of their ph...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2001
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| In: |
Nuclear physics. Proceedings supplements
Year: 2001, Volume: 96, Issue: 1/3, Pages: 189-193 |
| ISSN: | 1873-3832 |
| DOI: | 10.1016/S0920-5632(01)01130-6 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/S0920-5632(01)01130-6 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0920563201011306 
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| Author Notes: | Elmar Bittner, Harald Markum, and Rainer Pullirsch |
| Summary: | We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) gauge theory and in full QCD as well as in quenched U(1) theory. As a measure of the fluctuation properties of the eigenvalues, we consider the nearest-neighbor spacing distribution. We find that in all regions of their phase diagrams, compact lattice gauge theories have bulk spectral correlations given by random matrix theory, which is an indication for quantum chaos. In the confinement phase, the low-lying Dirac spectrum of these quantum field theories is well described by random matrix theory, exhibiting universal behavior. Related results for gauge theories with minimal coupling are now discussed also in the chirally symmetric phase. |
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| Item Description: | Available online 29 April 2002 Elektronische Reproduktion der Druck-Ausgabe Gesehen am 18.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1873-3832 |
| DOI: | 10.1016/S0920-5632(01)01130-6 |