A Time-Dependent Classical Solution of C=1 String Field Theory and Non-Perturbative Effects

TL;DR

This paper presents a real-time classical solution in $c=1$ string field theory using phase space density, revealing non-perturbative effects like tunneling and implications for two-dimensional black holes.

Contribution

It introduces a novel classical solution describing fermion tunneling in $c=1$ string theory and explores its applications to non-perturbative phenomena and black hole physics.

Findings

Solution describes fermion tunneling above the Fermi sea

Amplitudes exhibit exponential suppression with $1/g_s$

Implications for non-perturbative effects in related models

Abstract

We describe a real-time classical solution of $c=1$ string field theory written in terms of the phase space density, $u(p,q,t)$, of the equivalent fermion theory. The solution corresponds to tunnelling of a single fermion above the filled fermi sea and leads to amplitudes that go as $\exp(- C/ \gst)$. We discuss how one can use this technique to describe non-perturbative effects in the Marinari-Parisi model. We also discuss implications of this type of solution for the two-dimensional black hole.