Strings below the Planck scale

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages

Scientific paper

10.1016/0370-2693(92)90766-W

We show that, for a class of critical strings in ${\bf R}\times S^{1}$-target space, the description of string theory given by its field content (analog model) breaks down when the radius of $S^{1}$ decreases below $R_{0}=\sqrt{\alpha^{\prime}}$, the self-dual point of the partition function $Z(R)$. We find that $Z(R)$ has a soft singularity at $R_{0}$ (a finite jump in the first derivative of $Z$).

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