The Exact $S$-matrix of the Deformed $c=1$ Matrix Model

Details The Exact $S$-matrix of the Deformed $c=1$ Matrix Model The Exact $S$-matrix of the Deformed $c=1$ Matrix Model

1993-08-08

arxiv.org/abs/hep-th/9308036v1

Phys.Rev.Lett. 71 (1993) 3409-3412

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, uses phyzzx, PUPT-1416, CNLS-93-09

Scientific paper

10.1103/PhysRevLett.71.3409

We consider the $c=1$ matrix model deformed by the operator ${1\over 2} M\Tr\Phi^{-2}$, which was conjectured by Jevicki and Yoneya to describe a two-dimensional black hole of mass $M$. We calculate the exact non-perturbative $S$-matrix and show that all the amplitudes involving an odd number of particles vanish at least to all orders of perturbation theory. We conjecture that these amplitudes vanish non-perturbatively and prove this for the $2n \to 1$ scattering. For the 2-- and 4--particle amplitudes we give some leading terms of the perturbative expansion.

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