Time-Dependent Backgrounds in 2D String Theory and the $S$-matrix Generating Functional

Details Time-Dependent Backgrounds in 2D String Theory and the $S$-matrix Generating Functional Time-Dependent Backgrounds in 2D String Theory and the $S$-matrix Generating Functional

1993-10-29

arxiv.org/abs/hep-th/9310190v1

Phys.Rev. D49 (1994) 2957-2965

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, BROWN-HET-925

Scientific paper

10.1103/PhysRevD.49.2957

We study the time-dependent tachyon backgrounds of the string collective field theory using the formalism of the $S$-matrix generating functional. In the process we clarify the connection between two ways of calculating the $S$-matrix, the one using the Feynman rule and the other using the classical solution to the nonlinear equation of motion. We develop the formalism for general backgrounds and apply it to the gravitational sine-Gordon model in detail. We reproduce the conformal field theory calculation which was based on expanding around the static $c=1$ theory. Furthermore, we prove that the tree- level partition function of this model shows the scaling behavior corresponding to $c=0$ model in the limit $p \to 0$ of sine-Gordon `momentum' $p$.

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