Rolling tachyon solution of two-dimensional string theory

TL;DR

This paper constructs a classical solution in a noncommutative string field theory that models the entire time evolution of the rolling tachyon on an unstable D0 brane, providing insights into string decay processes.

Contribution

It introduces a classical solution in a noncommutative $c=1$ matrix model field theory that captures the full dynamics of the rolling tachyon.

Findings

The solution describes the complete time history of the rolling tachyon.

It connects the noncommutative field theory to D-brane decay phenomena.

Provides a framework for analyzing tachyon condensation in string theory.

Abstract

We consider a classical (string) field theory of $c=1$ matrix model which was developed earlier in hep-th/9207011 and subsequent papers. This is a noncommutative field theory where the noncommutativity parameter is the string coupling $g_s$. We construct a classical solution of this field theory and show that it describes the complete time history of the recently found rolling tachyon on an unstable D0 brane.