A Remark on the Renormalization Group Equation for the Penner Model

Details A Remark on the Renormalization Group Equation for the Penner Model A Remark on the Renormalization Group Equation for the Penner Model

1994-06-21

arxiv.org/abs/hep-th/9406139v1

Phys.Rev. D51 (1995) 2014-2017

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 5 pages, LPTHE-Orsay-94-59

Scientific paper

10.1103/PhysRevD.51.2014

It is possible to extract values for critical couplings and gamma_string in matrix models by deriving a renormalization group equation for the variation of the of the free energy as the size N of the matrices in the theory is varied. In this paper we derive a ``renormalization group equation'' for the Penner model by direct differentiation of the partition function and show that it reproduces the correct values of the critical coupling and gamma_string and is consistent with the logarithmic corrections present for g=0,1.

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