Classical Scattering in $1+1$ Dimensional String Theory

Abstract

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.

15 pp

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• Black Hole Non-Formation in the Matrix Model
• Particle Production in Matrix Cosmology
• Toda Lattice Hierarchy and the Topological Description of the c=1 String Theory
• Matrix Quantum Mechanics and Two-dimensional String Theory in Non-trivial Backgrounds
• D-brane Dynamics in the c=1 Matrix Model
• On the Nonperturbative Consistency of $d=2$ String Theory
• Quantum and Classical Aspects of Deformed $c=1$ Strings.
• Gravitational Phase Transitions and the Sine-Gordon Model
• Spacelike boundaries from the c=1 Matrix Model
• Extended Toda lattice hierarchy, extended two-matrix model and c=1 string theory
• On The Problem of Particle Production in c=1 Matrix Model
• c < 1 String from Two Dimensional Black Holes
• Time-Dependent Backgrounds in 2D String Theory and the $S$-matrix Generating Functional
• Matrix Model and Time-like Linear Dilaton Matter
• Matrix Models and 2D String Theory
• Multi-Instanton Calculus in c = 1 String Theory
• Energy Quantisation in Bulk Bouncing Tachyon
• Semiclassical Tunneling in 1+1 Dimensional String Theory
• Open String Descriptions of Space-like Singularities in Two Dimensional String Theory
• On Tachyon condensation and open-closed duality in the c=1 string theory
• Topological Field Theory Interpretations and LG Representation of c=1 String Theory
• Scattering States and Symmetries in the Matrix Model and Two Dimensional String Theory
• $(1,q=-1)$ Model as a Topological Description of $2d$ String Theory
• 1/2-BPS Correlators as c=1 S-matrix
• Perturbation Theory in Two Dimensional Open String Field Theory
• On Consistent Boundary Conditions for c=1 String Theory
• Quantum Corrections in Collective Field Theory
• S matrix of collective field theory