A new level-truncation method reaches level 24 in the Schnabl gauge and shows the tachyon vacuum energy has a local minimum at level 12 before extrapolating toward the analytic value -1.
Numerical Evaluation of Gauge Invariants for a-gauge Solutions in Open String Field Theory
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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.
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Numerical solution for tachyon vacuum in the Schnabl gauge
A new level-truncation method reaches level 24 in the Schnabl gauge and shows the tachyon vacuum energy has a local minimum at level 12 before extrapolating toward the analytic value -1.