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

Abstract

We evaluate gauge invariants (vacuum energy and gauge invariant overlap) for numerical classical solutions in cubic open string field theory under Asano-Kato's $a$-gauge fixing condition. We propose an efficient iterative procedure for solving the equations of motion so that the BRST invariance of the solutions is numerically ensured. The resulting gauge invariants are numerically stable and almost equal to those of Schnabl's tachyon vacuum solution in the well-defined region of a gauge parameter. These results provide further evidence that the numerical and analytical solutions are gauge equivalent.

19 pages, 10 figures; v2:typos corrected, version to appear in PTP

References in corpus (6)

• Descent Relations Among Bosonic D-branes
• Gauge Invariant Overlaps for Classical Solutions in Open String Field Theory
• The boundary state from open string fields
• Comments on gauge invariant overlaps for marginal solutions in open string field theory
• Schnabl's Solution and Boundary States in Open String Field Theory
• General Linear Gauges and Amplitudes in Open String Field Theory

Cited by in corpus (12)

• Solutions from boundary condition changing operators in open string field theory
• Solutions from boundary condition changing operators in open superstring field theory
• The Tachyon Potential in the Sliver Frame
• Exploring Vacuum Structure around Identity-Based Solutions
• Numerical Evaluation of Gauge Invariants for a-gauge Solutions in Open String Field Theory
• Numerical Solutions of Open String Field Theory in Marginally Deformed Backgrounds
• Numerical solution for tachyon vacuum in the Schnabl gauge
• Numerical twist-even SU(1,1)-singlet solutions in open string field theory around the identity-based solution
• Numerical solution of open string field theory in Schnabl gauge
• Closed string field theory in a-gauge
• On string fields and superstring field theories
• Numerical universal solutions in $a$-gauge in open string field theory