Renormalization group for matrix models with branching interactions. (English) Zbl 0944.82010
Summary: The authors develop a method to obtain the large-\(N\) renormalization group flows for matrix models of two-dimensional gravity plus branched polymers. This method gives precise results for the critical points and exponents for one-matrix models. They show that it can be generalized to two-matrix models and they recover the Ising critical points.
MSC:
| 82B28 | Renormalization group methods in equilibrium statistical mechanics |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
| 82B41 | Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics |
| 83C27 | Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory |
Keywords:
renormalization group flows; matrix models; two-dimensional gravity; branched polymers; Ising critical pointsReferences:
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