D-particles, Matrix Integrals and KP hierachy

We derive the determinant representation and Hirota equations for the regularized correlation functions of the light-like coordinate operators $\sim matrix models describing $D$-particles in various dimensions. We investigate in great detail the matrix model originally proposed by J. Hoppe and recen...

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Detalles Bibliográficos
Autores principales: Kazakov, Vladimir A., Kostov, Ivan K., Nekrasov, Nikita A.
Lenguaje:eng
Publicado: 1998
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(99)00393-4
http://cds.cern.ch/record/367236
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author Kazakov, Vladimir A.
Kostov, Ivan K.
Nekrasov, Nikita A.
author_facet Kazakov, Vladimir A.
Kostov, Ivan K.
Nekrasov, Nikita A.
author_sort Kazakov, Vladimir A.
collection CERN
description We derive the determinant representation and Hirota equations for the regularized correlation functions of the light-like coordinate operators $\sim matrix models describing $D$-particles in various dimensions. We investigate in great detail the matrix model originally proposed by J. Hoppe and recently encountered in studies of $D$-particles in four dimensions. We also present a new derivation of the large $N$ and double scaling limits of the one-matrix model with cubic potential.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
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spelling cern-3672362021-10-08T02:24:56Zdoi:10.1016/S0550-3213(99)00393-4http://cds.cern.ch/record/367236engKazakov, Vladimir A.Kostov, Ivan K.Nekrasov, Nikita A.D-particles, Matrix Integrals and KP hierachyParticle Physics - TheoryWe derive the determinant representation and Hirota equations for the regularized correlation functions of the light-like coordinate operators $\sim matrix models describing $D$-particles in various dimensions. We investigate in great detail the matrix model originally proposed by J. Hoppe and recently encountered in studies of $D$-particles in four dimensions. We also present a new derivation of the large $N$ and double scaling limits of the one-matrix model with cubic potential.We study the regularized correlation functions of the light-like coordinate operators in the reduction to zero dimensions of the matrix model describing $D$-particles in four dimensions. We investigate in great detail the related matrix model originally proposed and solved in the planar limit by J. Hoppe. It also gives the solution of the problem of 3-coloring of planar graphs. We find interesting strong/weak 't Hooft coupling dependence. The partition function of the grand canonical ensemble turns out to be a tau-function of KP hierarchy. As an illustration of the method we present a new derivation of the large-N and double-scaling limits of the one-matrix model with cubic potential.We study the regularized correlation functions of the light-like coordinate operators in the reduction to zero dimensions of the matrix model describing $D$-particles in four dimensions. We investigate in great detail the related matrix model originally proposed and solved in the planar limit by J. Hoppe. It also gives the solution of the problem of 3-coloring of planar graphs. We find interesting strong/weak 't Hooft coupling dependence. The partition function of the grand canonical ensemble turns out to be a tau-function of KP hierarchy. As an illustration of the method we present a new derivation of the large-N and double-scaling limits of the one-matrix model with cubic potential.We study the regularized correlation functions of the light-like coordinate operators in the reduction to zero dimensions of the matrix model describing D-particles in four dimensions. We investigate in great detail the related matrix model originally proposed and solved in the planar limit by J. Hoppe. It also gives the solution of the problem of 3-coloring of planar graphs. We find interesting strong/weak 't Hooft coupling dependence. The partition function of the grand canonical ensemble turns out to be a tau-function of KP hierarchy. As an illustration of the method we present a new derivation of the large- N and double-scaling limits of the one-matrix model with cubic potential.hep-th/9810035HUTP-98-A051ITEP-TH-35-98CERN-TH-98-302SACLAY-SPH-T-98-102LPTENS-98-40CERN-TH-98-302SACLAY-SPHT-T-98-102oai:cds.cern.ch:3672361998-10-07
spellingShingle Particle Physics - Theory
Kazakov, Vladimir A.
Kostov, Ivan K.
Nekrasov, Nikita A.
D-particles, Matrix Integrals and KP hierachy
title D-particles, Matrix Integrals and KP hierachy
title_full D-particles, Matrix Integrals and KP hierachy
title_fullStr D-particles, Matrix Integrals and KP hierachy
title_full_unstemmed D-particles, Matrix Integrals and KP hierachy
title_short D-particles, Matrix Integrals and KP hierachy
title_sort d-particles, matrix integrals and kp hierachy
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0550-3213(99)00393-4
http://cds.cern.ch/record/367236
work_keys_str_mv AT kazakovvladimira dparticlesmatrixintegralsandkphierachy
AT kostovivank dparticlesmatrixintegralsandkphierachy
AT nekrasovnikitaa dparticlesmatrixintegralsandkphierachy

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