Boundary fields and renormalization group flow in the two-matrix model

Details Boundary fields and renormalization group flow in the two-matrix model Boundary fields and renormalization group flow in the two-matrix model

1997-11-03

arxiv.org/abs/hep-th/9711008v3

Phys.Rev.D58:046006,1998

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Latex

Scientific paper

10.1103/PhysRevD.58.046006

We analyze the Ising model on a random surface with a boundary magnetic field using matrix model techniques. We are able to exactly calculate the disk amplitude, boundary magnetization and bulk magnetization in the presence of a boundary field. The results of these calculations can be interpreted in terms of renormalization group flow induced by the boundary operator. In the continuum limit this RG flow corresponds to the flow from non-conformal to conformal boundary conditions which has recently been studied in flat space theories.

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