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Modification of Matrix Models by Square Terms of Scaling Operators by Shirokura, Hiroshi is a scholarly article available to read on EtoBox.

What is Modification of Matrix Models by Square Terms of Scaling Operators about?

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.

Author

Shirokura, Hiroshi

Published

1994

Language

EN