Classical Scattering in $1+1$ Dimensional String Theory

Details Classical Scattering in $1+1$ Dimensional String Theory Classical Scattering in $1+1$ Dimensional String Theory

1992-03-22

arxiv.org/abs/hep-th/9203060v1

Phys.Rev.D46:1730-1736,1992

Physics

High Energy Physics

High Energy Physics - Theory

15 pp

Scientific paper

10.1103/PhysRevD.46.1730

We find the general solution to Polchinski's classical scattering equations for $1+1$ dimensional string theory. This allows efficient computation of scattering amplitudes in the standard Liouville $\times$ $c=1$ background. Moreover, the solution leads to a mapping from a large class of time-dependent collective field theory backgrounds to corresponding nonlinear sigma models. Finally, we derive recursion relations between tachyon amplitudes. These may be summarized by an infinite set of nonlinear PDE's for the partition function in an arbitrary time-dependent background.

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