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Hermitean matrix model free energy: Feynman graph technique for all genera

L. Chekhov
(
- Moscow, ITEP
)
,
B. Eynard
(
- Saclay, SPhT
)

Apr, 2005

14 pages

Published in:

JHEP 03 (2006) 014

e-Print:

hep-th/0504116 [hep-th]

DOI:

10.1088/1126-6708/2006/03/014

Report number:

SPHT-T05-046

View in:

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Abstract:

We present a diagrammatic technique for calculating the free energy of the Hermitian one-matrix model to all orders of 1/N expansion in the case where the limiting eigenvalue distribution spans arbitrary (but fixed) number of disjoint intervals (curves).

Note:

14 pages, latex Report-no: SPhT-T05/046

matrix model
perturbation theory: higher-order
expansion 1/N
energy
field equations: solution
Riemann surface

References(39)

Figures(0)

A Large N duality via a geometric transition

F. Cachazo
(
- Harvard U.
)
,
Kenneth A. Intriligator
(
- UC, San Diego
)
,
Cumrun Vafa
(
- Harvard U.
)

- Nucl.Phys.B 603 (2001) 3-41
•
e-Print:
- hep-th/0103067
•
DOI:
- 10.1016/S0550-3213(01)00228-0

N=1 and N=2 geometry from fluxes

Freddy Cachazo
(
- Harvard U.
)
,
Cumrun Vafa
(
- Harvard U.
)

e-Print:
- hep-th/0206017

Matrix models, topological strings, and supersymmetric gauge theories

Robbert Dijkgraaf
(
- Amsterdam U. and
- Amsterdam U., Inst. Math.
)
,
Cumrun Vafa
(
- Harvard U.
)

- Nucl.Phys.B 644 (2002) 3-20
•
e-Print:
- hep-th/0206255
•
DOI:
- 10.1016/S0550-3213(02)00766-6

On geometry and matrix models

- Nucl.Phys.B 644 (2002) 21-39
•
e-Print:
- hep-th/0207106
•
DOI:
- 10.1016/S0550-3213(02)00764-2

A Perturbative window into nonperturbative physics

Robbert Dijkgraaf
(
- Amsterdam U. and
- Amsterdam U., Inst. Math.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

e-Print:
- hep-th/0208048

Multiband structure and critical behavior of matrix models

- Phys.Rev.D 42 (1990) 4105-4122
•
DOI:
- 10.1103/PhysRevD.42.4105

On the systematics of positron production in elastic heavy ion collisions

et al.

- Phys.Lett.B 245 (1990) 17-20
•
DOI:
- 10.1016/0370-2693(90)90157-2

Multicritical multicut matrix models

Cedomir Crnkovic
(
- Yale U.
)
,
Gregory W. Moore
(
- Rutgers U., Piscataway and
- Yale U.
)

- Phys.Lett.B 257 (1991) 322-328
•
DOI:
- 10.1016/0370-2693(91)91900-G

New universal spectral correlators

Jan Ambjorn
(
- Bohr Inst.
)
,
G. Akemann
(
- Bohr Inst.
)

- J.Phys.A 29 (1996) L555-L560
•
e-Print:
- cond-mat/9606129
•
DOI:
- 10.1088/0305-4470/29/22/001

Breakdown of universality in multicut matrix models

- J.Phys.A 33 (2000) 6739-6768
•
e-Print:
- cond-mat/0003324
•
DOI:
- 10.1088/0305-4470/33/38/307

The tau function of the universal Whitham hierarchy, matrix models and topological field theories

I.M. Krichever
(
- Ecole Normale Superieure
)

- Commun.Pure Appl.Math. 47 (1994) 437,
•
e-Print:
- hep-th/9205110

Matrix models versus Seiberg-Witten / Whitham theories

L. Chekhov
(
- Steklov Math. Inst., Moscow
)
,
A. Mironov
(
- Lebedev Inst.
)

- Phys.Lett.B 552 (2003) 293-302
•
e-Print:
- hep-th/0209085
•
DOI:
- 10.1016/S0370-2693(02)03163-5

Complex curve of the two matrix model and its tau function

Vladimir A. Kazakov
(
- Ecole Normale Superieure
)
,
Andrei Marshakov
(
- Ecole Normale Superieure and
- IHES, Bures-sur-Yvette and
- Lebedev Inst. and
- Moscow, ITEP
)

- J.Phys.A 36 (2003) 3107-3136
•
e-Print:
- hep-th/0211236
•
DOI:
- 10.1088/0305-4470/36/12/315

Loop Equations and 1/N Expansion

Alexander A. Migdal
(
- Moscow, ITEP
)

- Phys.Rept. 102 (1983) 199-290,
- Phys. Rep. 102 ( 1983) 199-290
•
DOI:
- 10.1016/0370-1573(83)90076-5

Multiloop correlators for two-dimensional quantum gravity

- Phys.Lett.B 251 (1990) 517-524
•
DOI:
- 10.1016/0370-2693(90)90790-D

Loop Equations and Nonperturbative Effects in Two-dimensional Quantum Gravity

F. David
(
- Saclay, SPhT
)

- Mod.Phys.Lett.A 5 (1990) 1019-1030,
•
DOI:
- 10.1142/S0217732390001141

On the origin of Virasoro constraints in matrix models: Lagrangian approach

A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Morozov
(
- Lebedev Inst. and
- Moscow, ITEP
)

- Phys.Lett.B 252 (1990) 47-52
•
DOI:
- 10.1016/0370-2693(90)91078-P

Properties of Loop Equations for the Hermitean Matrix Model and for Two-dimensional Quantum Gravity

Jan Ambjorn
(
- Bohr Inst.
)
,
Yu.M. Makeenko
(
- Moscow, ITEP
)

- Mod.Phys.Lett.A 5 (1990) 1753-1764
•
DOI:
- 10.1142/S0217732390001992

Noncritical Virasoro algebra of d < 1 matrix model and quantized string field

H. Itoyama
(
- SUNY, Stony Brook
)
,
Y. Matsuo
(
- SUNY, Stony Brook
)

- Phys.Lett.B 255 (1991) 202-208,
- NY Quarks, Symm.Str.1990:137-148
•
DOI:
- 10.1016/0370-2693(91)90236-J

Gravitational corrections in supersymmetric gauge theory and matrix models

- JHEP 03 (2003) 051
•
e-Print:
- hep-th/0211216
•
DOI:
- 10.1088/1126-6708/2003/03/051

Partition functions of matrix models as the first special functions of string theory. 1. Finite size Hermitean one matrix model

- Int.J.Mod.Phys.A 19 (2004) 4127-4165
•
e-Print:
- hep-th/0310113
•
DOI:
- 10.1142/S0217751X04018245

Unified description of correlators in non-Gaussian phases of Hermitean matrix model

A.S. Alexandrov
(
- Moscow, MIPT and
- Moscow, ITEP
)
,
A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)

- Int.J.Mod.Phys.A 21 (2006) 2481-2518
•
e-Print:
- hep-th/0412099
•
DOI:
- 10.1142/S0217751X06029375

Solving Virasoro constraints in matrix models

A.S. Alexandrov
(
- Moscow, MIPT and
- Moscow, ITEP
)
,
A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)

- Fortsch.Phys. 53 (2005) 512-521
•
e-Print:
- hep-th/0412205
•
DOI:
- 10.1002/prop.200410212

BiHamiltonian hierarchies in 2-D topological field theory at one loop approximation

Boris Dubrovin
(
- SISSA, Trieste
)
,
Youjin Zhang
(
- Kyoto U.
)

- Commun.Math.Phys. 198 (1998) 311-361
•
e-Print:
- hep-th/9712232
•
DOI:
- 10.1007/s002200050480

Planar Diagrams

- Commun.Math.Phys. 59 (1978) 35
•
DOI:
- 10.1007/BF01614153

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