A Simple Analytic Solution for Tachyon Condensation

TL;DR

This paper introduces a straightforward analytic solution for tachyon condensation in open bosonic string field theory, simplifying previous approaches by eliminating the need for regularization and phantom terms, and enabling quick verification of Sen's conjecture.

Contribution

The paper presents a novel continuous integral-based solution for tachyon condensation that simplifies calculations and confirms Sen's conjecture efficiently.

Findings

Solution involves a continuous integral of wedge states

No regularization or phantom terms needed

Action evaluation confirms Sen's conjecture

Abstract

In this paper we present a new and simple analytic solution for tachyon condensation in open bosonic string field theory. Unlike the B_0 gauge solution, which requires a carefully regulated discrete sum of wedge states subtracted against a mysterious "phantom" counter term, this new solution involves a continuous integral of wedge states, and no regularization or phantom term is necessary. Moreover, we can evaluate the action and prove Sen's conjecture in a mere few lines of calculation.