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How many eigenvalues of a Gaussian random matrix are positive?
Gaussian random matrices large deviations Coulomb gas method index
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2011/3/2
We study the probability distribution of the index N+, i.e., the number of positive eigenvalues of an N × N Gaussian random matrix. We show analytically that, for large N and large N+ with the fractio...
A solution of the Gross-Witten matrix model by nonlinear random processes
the Gross-Witten matrix model nonlinear random processes
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2011/1/6
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. In...
A solution of the Gross-Witten matrix model by nonlinear random processes
the Gross-Witten matrix model nonlinear random processes
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2011/1/6
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. In...
Stokes Phenomena and Non-perturbative Completion in the Multi-cut Two-matrix Models
Stokes Phenomena Non-perturbative Completion
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2010/12/24
The Stokes multipliers in the matrix models are invariants in the string-theory moduli space and related to the D-instanton chemical potentials. They not only represent non-perturbative information bu...
On the structure of the S-matrix in general boundary quantum field theory in curved space
the S-matrix quantum field theory
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2010/12/23
We use the general boundary formulation (GBF) of quantum field theory to compute the S-matrix for a general interacting scalar field in curved spacetime. This S-matrix is obtained as the asymptotic li...
Chiral fermions and the standard model from the matrix model compactified on a torus
Chiral fermions the standard model the matrix model
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2011/1/7
It is shown that the IIB matrix model compactified on a six-dimensional torus with a nontrivial topology can provide chiral fermions and matter content close to the standard model on our four-dimensio...
Towards a proof of AGT conjecture by methods of matrix models
AGT conjecture matrix models
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2010/12/24
A matrix model approach to proof of the AGT relation is briefly reviewed. It starts from the substitution of conformal blocks by the Dotsenko-Fateev beta-ensemble averages and Nekrasov functions by a...
Multi-Matrix Models and Tri-Sasaki Einstein Spaces
Multi-Matrix Models Tri-Sasaki Einstein Spaces
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2010/12/24
Localization methods reduce the path integrals in {\cal N} >= 2 supersymmetric Chern-Simons gauge theories on S^3 to multi-matrix integrals. A recent evaluation of such a two-matrix integral for the {...
Matrix Model for membrane and dynamics of D-Particles in a curved space-time geometry and presence of form fields
Matrix Model membrane dynamics D-Particles
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2010/12/23
We study dynamics of a membrane and its matrix regularisation. We present the matrix regularisation for a membrane propagating in a curved space-time geometry in the presence of an arbitrary 3-form fi...
Generalized matrix models and AGT correspondence at all genera
Generalized matrix models AGT correspondence
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2010/12/24
We study generalized matrix models corresponding to n-point Virasoro conformal blocks on Riemann surfaces with arbitrary genus g. Upon AGT correspondence, these describe four dimensional N=2 SU(2)^{n...
Wall-crossing, open BPS counting and matrix models
Wall-crossing BPS counting matrix models
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2010/12/24
We consider wall-crossing phenomena associated to the counting of D2-branes attached to D4-branes wrapping lagrangian cycles in Calabi-Yau manifolds, both from M-theory and matrix model perspective. F...
Wilson Fermions, Random Matrix Theory and the Aoki Phase
Wilson Fermions Random Matrix Theory the Aoki Phase
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2011/1/7
The QCD partition function for the Wilson Dirac operator, $D_W$, at nonzero lattice spacing $a$ can be expressed in terms of a chiral Lagrangian as a systematic expansion in the quark mass, the moment...
A solution of the Gross-Witten matrix model by nonlinear random processes
the Gross-Witten matrix model nonlinear random processes
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2010/12/27
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. I...
Spectral properties in supersymmetric matrix models
Spectral properties supersymmetric matrix models
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2010/12/24
We give a sufficient condition for discreteness of the spectrum for supersymmmetric and non supersymmetric theories with a fermionic contribution. Our approach allows the analysis of the complete redu...
K --> pi pi matrix elements from mixed action lattice QCD
K --> pi pi matrix elements mixed action lattice QCD
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2011/1/7
We present a new method for determining K --> pi pi matrix elements from lattice simulations that is less costly than direct simulations of K --> pi pi at physical kinematics. It improves, however, up...