Second and third order observables of the two matrix model - INSPIRE

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Second and third order observables of the two matrix model

M. Bertola
(
- Concordia U., Montreal and
- Montreal U., CRM
)

Sep, 2003

22 pages

Published in:

JHEP 11 (2003) 062

e-Print:

hep-th/0309192 [hep-th]

DOI:

10.1088/1126-6708/2003/11/062

Report number:

CRM-2931-2003

View in:

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Abstract:

In this paper we complement our recent result on the explicit formula for the planar limit of the free energy of the two-matrix model by computing the second and third order observables of the model in terms of canonical structures of the underlying genus g spectral curve. In particular we provide explicit formulas for any three-loop correlator of the model. Some explicit examples are worked out.

matrix model: 2
perturbation theory: higher-order
higher-order: 3
correlation function
field theory: planar
differential forms
analytic properties

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