Numerical Evaluation of Gauge Invariants for a-gauge Solutions in Open String Field Theory

TL;DR

This paper numerically evaluates gauge invariants for a-gauge solutions in open string field theory, demonstrating their stability and gauge equivalence to known solutions using level truncation and iterative methods.

Contribution

It introduces a numerical approach to evaluate gauge invariants for a-gauge solutions, confirming their gauge equivalence to Schnabl's solution.

Findings

Gauge invariants are numerically stable across different a-gauge values.

Numerical solutions closely match gauge invariants of Schnabl's solution.

Results support gauge equivalence of numerical and analytical solutions.

Abstract

We evaluate gauge invariants, action and gauge invariant overlap, for numerical solutions which satisfy the "a-gauge" condition with various values of $a$ in cubic open bosonic string field theory. We use the level truncation approximation and an iterative procedure to construct numerical solutions in the twist even universal space. The resulting gauge invariants are numerically stable and almost equal to those of Schnabl's solution for tachyon condensation. Our result provides further evidence that these numerical and analytical solutions are gauge equivalent.