The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Random matrix theory and spectral sum rules for the Dirac operator in QCD
Open accessAbstract
Abstract We construct a random matrix model that, in the large- N limit, reduces to the low-energy limit of the QCD partition function put forward by Leutwyler and Smilga. This equivalence holds for an arbitrary number of flavors and any value of the QCD vacuum angle. In this model, moments of the inverse squares of eigenvalues of the Dirac operator obey sum rules, which we conjecture to be universal. In other words, the validity of the sum rules depends only on the symmetries of the theory but not on its details. To illustrate this point we show that the sum rules hold for an interacting liquid of instantons. The physical interpretations is that the way the thermodynamic limit of the spectral density near zero is approached is universal. However, its value, i.e. the chiral condensate, is not.
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Cites
Symmetry Breaking through Bell-Jackiw Anomalies
't Hooft, G. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.8 · Cited by 3,362
Cited by
Spectrum of the QCD Dirac operator and chiral random matrix theory
Verbaarschot, J. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.2531 · Cited by 459
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Metadata
- Authors
- Shuryak, E. V., & Verbaarschot, J. J. M.
- Venue
- Nuclear Physics A
- Publisher
- Elsevier BV
- Published
- 1993-07
- Volume
- 560
- Issue
- 1
- Pages
- 306-320
- ISSN
- 0375-9474 (ISSN-L)
- OpenAlex
- W2089663769
- Cited by
- 512
- References
- 1
- FWCI
- 7.95
- Type
- journal article
- Language
- en
- Open access
- green
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- Shuryak, E. V., & Verbaarschot, J. J. M. (1993). Random matrix theory and spectral sum rules for the Dirac operator in QCD. Nuclear Physics A. https://doi.org/10.1016/0375-9474(93)90098-i
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