Irreversibility of the Renormalization Group Flow in Two Dimensional Quantum Gravity

Details Irreversibility of the Renormalization Group Flow in Two Dimensional Quantum Gravity Irreversibility of the Renormalization Group Flow in Two Dimensional Quantum Gravity

1992-07-20

arxiv.org/abs/hep-th/9207064v1

Mod.Phys.Lett. A7 (1992) 2943-2956

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, PUPT-1334

Scientific paper

We argue that the torus partition sum in $2d$ (super) gravity, which counts physical states in the theory, is a decreasing function of the renormalization group scale. As an application we chart the space of $(\hat c\leq1)$ $c\leq1$ models coupled to (super) gravity, confirming and extending ideas due to A. Zamolodchikov, and discuss briefly string theory, where our results imply that the number of degrees of freedom decreases with time.

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