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- Poul Henrik Damgaard, U. Magnea, Shinsuke M. Nishigaki
- 1998

We find the microscopic spectral densities and the spectral correlators associated with multicritical behavior for both hermitian and complex matrix ensembles, and show their universality. Weâ€¦ (More)

- Gernot Akemann, Poul Henrik Damgaard, U. Magnea, Shinsuke M. Nishigaki
- 1996

We prove the universality of correlation functions of chiral unitary and unitary ensembles of random matrices in the microscopic limit. The essence of the proof consists in reducing the three-termâ€¦ (More)

to which is associated Wignerâ€™s single-banded, semi-circle spectrum. This macroscopic spectrum is, however, by no means realistic; physical spectra are far more complicated. Namely they may even haveâ€¦ (More)

We investigate O(N)-symmetric vector field theories in the double scaling limit. Our model describes branched polymeric systems in D dimensions, whose multicritical series interpolates between theâ€¦ (More)

While index theorems have for long been known to relate the number of exact zero modes of the Dirac operator to gauge field topology, it is only during the 1990â€™s that it has been realized how muchâ€¦ (More)

There has long been an attractive idea that the lowenergy physics of a complex system can be described by a simple effective theory which respects the global symmetries of the original system. As anâ€¦ (More)

Large-N renormalization group equations for oneand two-matrix models are derived. The exact renormalization group equation involving infinitely many induced interactions can be rewritten in a formâ€¦ (More)

- Antonio M. GarcÃa-GarcÃa, Shinsuke M. Nishigaki, Jacobus J. M. Verbaarschot
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

We introduce a generalized ensemble of non-Hermitian matrices interpolating between the Gaussian Unitary Ensemble, the Ginibre ensemble, and the Poisson ensemble. The joint eigenvalue distribution ofâ€¦ (More)

Wilsonâ€™s approximation scheme of RG recursion formula dropping momentum dependence of the propagators is applied to large-N vector and matrix models in dimensions 2 < d < 4 by making use of theirâ€¦ (More)

An exact renormalization group equation is derived for the free energy of matrix models. The renormalization group equation turns out to be nonlinear for matrix models, as opposed to linear forâ€¦ (More)