Characteristics polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds

Nuclear Physics B

Volumn 630, Issue 3, 2002, Pages 453-491

  Fyodorov, Yan V ^a   Strahov, Eugene ^a  

^a BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037141116     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(02)00185-2     Document Type: Article

References (63)

1. Random matrix theory and ζ (1/2 + it)
2. Random matrix theory and L-functions at s = 1/2
3. Random matrix theory and the derivative of the Riemann zeta function
4. Characteristic polynomials of random matrices
5. Characteristic polynomials of random real symmetric matrices
6. Second quantization approach to characteristic polynomials in RMT
7. Replica treatment of the Calogero-Sutherland model
8. Secular determinants of random unitary matrices
9. Characterization of quantum chaos by the autocorrelation function of spectral determinants
10. Spectra of random matrices close to unitary and scattering theory for discrete-time systems
11. Moments of the characteristic polynomial in the three ensembles of random matrices
12. Wigner-Dyson statistics from the replica method
13. Nonperturbative results for level correlations from the replica nonlinear sigma model
14. Correlator of the spectral determinants in quantum chaos
15. Systematic analytical approach to correlation functions of resonances in quantum chaotic scattering
16. Index distribution of random matrices with an application to disordered systems
17. A factorization of determinant related to some random matrices
18. Exploring level statistics from quantum chaos to localization with the autocorrelation function of spectral determinants
19. Information about the integer quantum Hall transition extracted from the autocorrelation function of spectral determinants
20. Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation
21. Det-Det correlations for quantum maps, dual pair and saddle-point analysis
22. Universal spectral correlators and massive Dirac operators
23. Clusters of near-degenerate levels dominate negative moments of spectral determinants
24. Moments of characteristic polynomials enumerate lexicographic arrays
25. The planar approximation. II
26. Differential operators on a semisimple Lie algebra
27. On the variation in the cohomology of the symplectic form of the reduced phase space
28. Disordered system with n orbitals per site: Lagrange formulation, hyperbolic symmetry, and Goldstone modes
29. Long mollifiers of the Riemann zeta-function
30. Critique of the replica trick
31. Integration on noncompact supermanifolds
32. Supersymmetry for systems with unitary disorder: Circular ensembles
33. Microscopic spectrum of the QCD Dirac operator in three dimensions
34. Dyson correlation functions and graded symmetry
35. Duistermaat-Heckman measures in a non-compact setting
36. Kirilov's character formula for reductive group
37. Fourier transform of orbits of the coadjoint representation
38. The Fourier transform of semi-simple coadjoint orbits
39. Another critique of the replica trick
40. Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models
41. An integral which occurs in statistics
42. Über der analytische Theorie der quadratischen
43. Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains
44. Equivariant localization of path integrals
45. The Duistermaat-Heckman integration formula on flag manifolds
46. Kählerian coset spaces of semisimple Lie groups
47. Realization of compact Lie algebras in Kähler manifolds
48. Berezin quantization and unitary representations of Lie groups
49. Localisation formulas, superconnections, and the index theorem for families
50. Two-dimensional gauge theories revisited
51. Structure of non-linear realization in supersymmetric theories
52. Supersymmetric nonlinear realization for arbitrary Kählerian coset space G/H
53. Multi-periodic coherent states and WKB-exactness II
54. Renormalization theory for interacting crumpled manifold
55. An Itzykson-Zuber-like integral and diffusion for complex ordinary and supermatrices
56. Finite volume partition functions and Itzykson-Zuber integrals
57. Yang-Mills integrals