Proof of the Lagrangean formalism of Hermitean 1-matrix models to all orders

Details Proof of the Lagrangean formalism of Hermitean 1-matrix models to all orders Proof of the Lagrangean formalism of Hermitean 1-matrix models to all orders

2009-04-05

arxiv.org/abs/0904.0753v1

JHEP 1001:034,2010

Physics

Mathematical Physics

30 pages, 7 figures

Scientific paper

10.1007/JHEP01(2010)034

We show that the correlation functions and the free energy of the formal
Hermitean 1-matrix model can be described by the recently proposed Lagrangean
formalism to all orders. In addition, the loop equation of this formalism is
stated and solved up to the fifth order in 1 / N^2 explicitly.

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