Publication : t96/112

A scenario for the $c>1$ barrier in non-critical bosonic strings

David F. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
The $c \leq$ 1 and $c>$ 1 matrix models are analyzed within large $N$ renormalization group, taking into account touching (or branching) interactions. The $c>$ 1 modified matrix model with string exponent $\bar \gamma >0$ is naturally associated with an unstable fixed point, separating the Liouville phase ($\gamma <0$) from the branched polymer phase ($ \gamma =1/2$). It is argued that at $c=1$ this multicritical fixed point and the Liouville fixed point coalesce, and that both fixed points disappear for $c>1$. In this picture, the critical behavior of $c>1$ matrix models is generically that of branched polymers, but only within a scaling region which is exponentially small when $c \rightarrow 1$. Large crossover effects occur for $c-1$ small enough, with a c $ \sim 1$ pseudo scaling which explains numerical results.
Année de publication : 1997
Revue : Nucl. Phys. B [FS] 487 633-649 (1997)
Preprint : arXiv:hep-th/9610037
Langue : Anglais

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