String Field Theory of Noncritical Strings

TL;DR

This paper develops a Hamiltonian-based string field theory for c=0 noncritical strings, enabling the derivation of loop amplitudes directly from the operator formalism.

Contribution

It constructs the first Hamiltonian operator for c=0 string field theory using geodesic distance, incorporating interaction and tadpole terms.

Findings

Derives loop amplitudes from the Hamiltonian formalism.

Shows the Hamiltonian reproduces known c=0 string results.

Provides a new operator approach to noncritical string dynamics.

Abstract

We construct the Hamiltonian operator of the string field theory for $c=0$ string theory. It describes how strings evolve in the coordinate frame, which is defined by using the geodesic distance on the worldsheet. The Hamiltonian consists of three-string interaction terms and a tadpole term. We show that one can derive the loop amplitudes of $c=0$ string theory from this Hamiltonian.