A time-dependent classical solution of c=1 string field theory and nonperturbative effects

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/g_str). We discuss how one can use this technique to describe nonperturbative effects in the Marinari-Parisi model. We also discuss implications of this type of solution for the two-dimensional black hole.