Logarithmic universality in random matrix theory

Nuclear Physics B

Volumn 548, Issue 1-3, 1999, Pages 613-625

  Splittorff, K ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Chiral symmetry; Ginsparg Wilson relation; Random matrix theory; Universality

Indexed keywords

EID: 0033599921     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00038-3     Document Type: Article

References (22)

1. M.L. Mehta, Random Matrices, 2nd Edition (Academic Press, New York, 1991).
2. E.V. Shuryak and J.J.M. Verbaarschot, Random matrix theory and spectral sum rules for the Dirac operator in QCD, Nucl. Phys. A 560 (1993) 306.
3. G. Akemann, P.M. Damgaard, U. Magnea and S. Nishigaki, Universality of random matrices in the microscopic limit and the Dirac operator spectrum, Nucl. Phys. B 487 [FS] (1997) 721.
4. T. Guhr and T. Wettig, Universal spectral correlations of the Dirac operator at finite temperature, Nucl. Phys. B 506 (1997) 589.
5. J.J.M. Verbaarschot and I. Zahed, Random matrix theory and three-dimensional QCD, Phys. Rev. Lett. 73 (1994) 2288.
6. 3, Phys. Rev. D 57 (1998) 5299.
7. 3 and random matrix theory, Nucl. Phys. B 547 (1999) 329.
8. J.J.M. Verbaarschot and I. Zahed, Spectral density of the QCD Dirac operator near zero virtually, Phys. Rev. Lett. 70 (1993) 3852.
9. J.J.M. Verbaarschot, Spectrum of the QCD Dirac operator and chiral random matrix theory, Phys. Rev. Lett. 72 (1994) 2531; Spectral sum rules and Selberg's integral formula, Phys. Lett. B 329 (1994) 351.
10. J.J.M. Verbaarschot, Spectrum of the QCD Dirac operator and chiral random matrix theory, Phys. Rev. Lett. 72 (1994) 2531; Spectral sum rules and Selberg's integral formula, Phys. Lett. B 329 (1994) 351.
11. P.H. Ginsparg and K.G. Wilson, A remnant of chiral symmetry on the lattice, Phys. Rev. D 25 (1982) 2649.
12. T. Banks and A. Casher, Chiral symmetry breaking in confining theories, Nucl. Phys. B 169 (1980) 103.
13. E. Kanzieper and V. Freilikher, Random matrix models with log-singular level confinement: Method of fictitious fermions, Philosophical Magazine B 77 (1998) 1161.
14. G. Akemann, P.H. Damgaard, U. Magnea and S.M. Nishigaki, Multicritical microscopic spectral correlators of Hermitian and complex matrices, Nucl. Phys. B 519 (1998) 682.
15. T.R. Morris, Chequered surfaces and complex matrices, Nucl. Phys B 356 (1991) 703.
16. E. Brézin and A. Zee, Universality of the correlations between eigenvalues of large random matrices, Nucl. Phys. B 402 (1993) 613.
17. G. Szegö, Orthogonal Polynomials (American Mathemetical Society, Providence, 1967).
18. M. Lüscher, Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation, Phys. Lett. B 428 (1998) 342.
19. P. Hasenfratz, Prospects for perfect actions, Nucl. Phys. (Proc. Suppl.) B 63 (1998) 53; H. Neuberger, More about massless quarks on the lattice, Phys. Lett. B 427 (1998) 353; K. Splittorff and A.D. Jackson, The Ginsparg-Wilson Relation and Local Chiral Random Matrix Theory, hep-lat/9805018.
20. P. Hasenfratz, Prospects for perfect actions, Nucl. Phys. (Proc. Suppl.) B 63 (1998) 53; H. Neuberger, More about massless quarks on the lattice, Phys. Lett. B 427 (1998) 353; K. Splittorff and A.D. Jackson, The Ginsparg-Wilson Relation and Local Chiral Random Matrix Theory, hep-lat/9805018.
21. P. Hasenfratz, Prospects for perfect actions, Nucl. Phys. (Proc. Suppl.) B 63 (1998) 53; H. Neuberger, More about massless quarks on the lattice, Phys. Lett. B 427 (1998) 353; K. Splittorff and A.D. Jackson, The Ginsparg-Wilson Relation and Local Chiral Random Matrix Theory, hep-lat/9805018.
22. F. Farchioni, I. Hip, C.B. Lang and M. Wohlgenannt, Spectrum of the Fixed Point Dirac Operator in the Schwinger Model, hep-lat/9809049.