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Volumn 7, Issue 1, 2003, Pages 1095-1132

Large-N expansion of the 2-matrix model

Author keywords

1 N Expansion; 2D Gravity; Matrix Models

Indexed keywords


EID: 0041552593     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/01/051     Document Type: Article
Times cited : (51)

References (42)
  • 4
    • 0039165794 scopus 로고    scopus 로고
    • Random matrix theories in quantum physics: Common concepts
    • [cond-mat/9707301]
    • T. Guhr, A. Muller-Groeling and H.A. Weidenmuller, Random matrix theories in quantum physics: common concepts, Phys. Rept. 299 (1998) 189 [cond-mat/9707301].
    • (1998) Phys. Rept. , vol.299 , pp. 189
    • Guhr, T.1    Muller-Groeling, A.2    Weidenmuller, H.A.3
  • 8
    • 0000439075 scopus 로고    scopus 로고
    • Universal distributions for growth processes in 1 + 1 dimensions and random matrices
    • M. Praehofer and H. Spohn, Universal distributions for growth processes in 1 + 1 dimensions and random matrices, Phys. Rev. Lett. 84 (2000) 4882.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 4882
    • Praehofer, M.1    Spohn, H.2
  • 9
    • 33744549078 scopus 로고
    • Planar diagrams, two-dimensional lattice gravity and surface models
    • F. David, Planar diagrams, two-dimensional lattice gravity and surface models, Nucl. Phys. B 257 (1985) 45.
    • (1985) Nucl. Phys. B , vol.257 , pp. 45
    • David, F.1
  • 12
    • 0642363984 scopus 로고    scopus 로고
    • M-theory as a matrix model: A conjecture
    • [hep-th/9610043]
    • T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M-theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043].
    • (1997) Phys. Rev. D , vol.55 , pp. 5112
    • Banks, T.1    Fischler, W.2    Shenker, S.H.3    Susskind, L.4
  • 14
    • 0031065608 scopus 로고    scopus 로고
    • Random matrix model approach to chiral symmetry
    • [hep-lat/9607086]
    • J.J.M. Verbaarschot, Random matrix model approach to chiral symmetry, Nucl. Phys. 53 (Proc. Suppl.) (1997) 88 [hep-lat/9607086].
    • (1997) Nucl. Phys. , vol.53 , Issue.PROC. SUPPL. , pp. 88
    • Verbaarschot, J.J.M.1
  • 15
    • 84968518845 scopus 로고
    • On the distribution of spacings between the zeros of the zeta function
    • A.M. Odlyzko, On the distribution of spacings between the zeros of the zeta function, Math. Comp. 48 (1987) 273.
    • (1987) Math. Comp. , vol.48 , pp. 273
    • Odlyzko, A.M.1
  • 17
    • 0035873520 scopus 로고    scopus 로고
    • Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model
    • N.M. Ercolani and K.T.-R. McLaughlin Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model, Physica D152 (2001) 232.
    • (2001) Physica , vol.D152 , pp. 232
    • Ercolani, N.M.1    McLaughlin, K.T.-R.2
  • 18
    • 0012997655 scopus 로고
    • The two-matrix model, in Random surfaces and quantum gravity
    • Cargèse, Plenum Press, New York
    • M.R. Douglas, The two-matrix model, in Random surfaces and quantum gravity, Cargèse, 1990, 77-83, NATO Adv. Sci. Inst. Ser. B Phys., 262 Plenum Press, New York 1991.
    • (1990) NATO Adv. Sci. Inst. Ser. B Phys. , vol.262 , pp. 77-83
    • Douglas, M.R.1
  • 19
    • 0000200923 scopus 로고
    • Rational theories of 2-d gravity from the two matrix model
    • [hep-th/9303093]
    • J.M. Daul, V.A. Kazakov and I.K. Kostov, Rational theories of 2-d gravity from the two matrix model, Nucl. Phys. B 409 (1993) 311 [hep-th/9303093].
    • (1993) Nucl. Phys. B , vol.409 , pp. 311
    • Daul, J.M.1    Kazakov, V.A.2    Kostov, I.K.3
  • 20
    • 0033439997 scopus 로고    scopus 로고
    • The spectrum of coupled random matrices
    • [hep-th/9907213]
    • M. Adler and P. van Moerbeke, The spectrum of coupled random matrices, Ann. Math. 149 (1999) 921 [hep-th/9907213].
    • (1999) Ann. Math. , vol.149 , pp. 921
    • Adler, M.1    Van Moerbeke, P.2
  • 21
    • 0036024881 scopus 로고    scopus 로고
    • Duality, biorthogonal polynomials and multi-matrix models
    • [nlin.SI/0108049]
    • M. Bertola, B. Eynard and J. Harnad, Duality, biorthogonal polynomials and multi-matrix models, Commun. Math. Phys. 229 (2002) 73 [nlin.SI/0108049]
    • (2002) Commun. Math. Phys. , vol.229 , pp. 73
    • Bertola, M.1    Eynard, B.2    Harnad, J.3
  • 23
    • 23044496596 scopus 로고    scopus 로고
    • Duality of spectral curves arising in two-matrix models
    • to appear, [nlin.SI/0112006]
    • M. Bertola, B. Eynard and J. Harnad, Duality of spectral curves arising in two-matrix models, in NEEDS 2001 proceedings, to appear, [nlin.SI/0112006].
    • NEEDS 2001 Proceedings
    • Bertola, M.1    Eynard, B.2    Harnad, J.3
  • 25
    • 23044485788 scopus 로고    scopus 로고
    • Heuristic asymptotics of biorthogonal polynomials
    • presentation by B.E. at Montréal May
    • M. Bertola, B. Eynard and J. Harnad, Heuristic asymptotics of biorthogonal polynomials, presentation by B.E. at AMS Northeastern regional meeting, Montréal May 2002.
    • (2002) AMS Northeastern Regional Meeting
    • Bertola, M.1    Eynard, B.2    Harnad, J.3
  • 26
    • 0036472347 scopus 로고    scopus 로고
    • Large deviations asymptotics for spherical integrals
    • A. Guionnet and Zeitouni, Large deviations asymptotics for spherical integrals, J. Funct. Anal. 188 (2002) 461.
    • (2002) J. Funct. Anal. , vol.188 , pp. 461
    • Guionnet, A.1    Zeitouni2
  • 28
    • 33744543538 scopus 로고
    • A planar diagram theory for strong interactions
    • G. 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461.
    • (1974) Nucl. Phys. B , vol.72 , pp. 461
    • 'T Hooft, G.1
  • 30
    • 0000276487 scopus 로고
    • Matrix model calculations beyond the spherical limit
    • [hep-th/9302014], erratum ibid. B449 (1995) 681
    • J. Ambjørn, L. Chekhov, C.F. Kristjansen and Y. Makeenko, Matrix model calculations beyond the spherical limit, Nucl. Phys. B 404 (1993) 127 [hep-th/9302014], erratum ibid. B449 (1995) 681.
    • (1993) Nucl. Phys. B , vol.404 , pp. 127
    • Ambjørn, J.1    Chekhov, L.2    Kristjansen, C.F.3    Makeenko, Y.4
  • 33
    • 17144426793 scopus 로고
    • Ising model on a dynamical planar random lattice: Exact solution
    • V.A. Kazakov, Ising model on a dynamical planar random lattice: exact solution, Phys. Lett. A 119 (1986) 140.
    • (1986) Phys. Lett. A , vol.119 , pp. 140
    • Kazakov, V.A.1
  • 34
    • 0000472731 scopus 로고
    • The ising model on random planar lattice: The structure of phase transition and the exact critical exponents
    • D.V. Boulatov and V.A. Kazakov, The ising model on random planar lattice: the structure of phase transition and the exact critical exponents, Phys. Lett. B 186 (1987) 379.
    • (1987) Phys. Lett. B , vol.186 , pp. 379
    • Boulatov, D.V.1    Kazakov, V.A.2
  • 35
    • 23044509045 scopus 로고    scopus 로고
    • Bmn correlators by loop equations
    • [hep-th/0209244]
    • B. Eynard and C. Kristjansen, Bmn correlators by loop equations, J. High Energy Phys. 10 (2002) 027 [hep-th/0209244].
    • (2002) J. High Energy Phys. , vol.10 , pp. 027
    • Eynard, B.1    Kristjansen, C.2
  • 36
    • 0000213257 scopus 로고
    • Combinatorial solution of the two matrix model
    • [hep-th/9301038]
    • M. Staudacher, Combinatorial solution of the two matrix model, Phys. Lett. B 305 (1993) 332 [hep-th/9301038].
    • (1993) Phys. Lett. B , vol.305 , pp. 332
    • Staudacher, M.1
  • 37
    • 0031521153 scopus 로고    scopus 로고
    • Eigenvalue distribution of large random matrices, from one matrix to Ševeral coupled matrices
    • B. Eynard, Eigenvalue distribution of large random matrices, from one matrix to Ševeral coupled matrices, Nucl. Phys. B 506 (1997) 633.
    • (1997) Nucl. Phys. B , vol.506 , pp. 633
    • Eynard, B.1
  • 38
    • 0032500495 scopus 로고    scopus 로고
    • Correlation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix
    • [cond-mat/9801075]
    • B. Eynard, Correlation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix, J. Phys. A 31 (1998) 8081 [cond-mat/9801075].
    • (1998) J. Phys. A , vol.31 , pp. 8081
    • Eynard, B.1
  • 39
    • 0032474388 scopus 로고    scopus 로고
    • Universality of correlation functions of hermitean random matrices in an external field
    • P. Zinn-Justin, Universality of correlation functions of hermitean random matrices in an external field, Commun. Math. Phys. 194 (1998) 631.
    • (1998) Commun. Math. Phys. , vol.194 , pp. 631
    • Zinn-Justin, P.1
  • 40
    • 0000879840 scopus 로고
    • On the large-N limit of the Itzykson-Zuber integral
    • [hep-th/9306077]
    • A. Matytsin, On the large-N limit of the Itzykson-Zuber integral, Nucl. Phys. B 411 (1994) 805 [hep-th/9306077].
    • (1994) Nucl. Phys. B , vol.411 , pp. 805
    • Matytsin, A.1
  • 41
    • 0034730267 scopus 로고    scopus 로고
    • Breakdown of universality in multi-cut matrix models
    • [cond-mat/0003324]
    • G. Bonnet, F. David and B. Eynard, Breakdown of universality in multi-cut matrix models, J. Phys. A 33 (2000) 6739 [cond-mat/0003324].
    • (2000) J. Phys. A , vol.33 , pp. 6739
    • Bonnet, G.1    David, F.2    Eynard, B.3
  • 42
    • 0033440723 scopus 로고    scopus 로고
    • Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
    • P. Deift, T. Kriecherbauer, K.T.R. McLaughlin, S. Venakides and Z. Zhou, Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory, Commun. Pure Appl. Math. 52 (1999) 1335.
    • (1999) Commun. Pure Appl. Math. , vol.52 , pp. 1335
    • Deift, P.1    Kriecherbauer, T.2    McLaughlin, K.T.R.3    Venakides, S.4    Zhou, Z.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.