Modification of Matrix Models by Square Terms of Scaling Operators

Details Modification of Matrix Models by Square Terms of Scaling Operators Modification of Matrix Models by Square Terms of Scaling Operators

1994-12-28

arxiv.org/abs/hep-th/9412227v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 1 postscript figure, uses latex and epsf.sty

Scientific paper

We study one (or two) matrix models modified by terms of the form $g(\rho(P))^2 + g'(\rho'({\cal{O}}))^2$, where the matrix representation of the puncture operator $P$ and the one of a scaling operator ${\cal{O}}$ are denoted by $\rho(P)$ and $\rho'({\cal{O}})$ respectively. We rewrite the modified models as effective theories of baby universes. We find an upper bound for the gravitational dimension of ${\cal{O}}$ under which we can fine tune the coupling constants to obtain new critical behaviors in the continuum limit. The simultaneous tuning of $g$ and $g'$ is possible if the representations $\rho(P)$ and $\rho'({\cal{O}})$ are chosen so that the non-diagonal elements of the mass matrix of the effective theory vanish.

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