Fluctuations around the Tachyon Vacuum in Open String Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, 2 figures, some comments and one table added, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2007/12/038

We consider quadratic fluctuations around the tachyon vacuum numerically in open string field theory. We work on a space ${\cal H}_N^{{\rm vac}}$ spanned by basis string states used in the Schnabl's vacuum solution. We show that the truncated form of the Schnabl's vacuum solution on ${\cal H}_N^{{\rm vac}}$ is well-behaved in numerical work. The orthogonal basis for the new BRST operator $\tilde Q$ on ${\cal H}_N^{{\rm vac}}$ and the quadratic forms of potentials for independent fields around the vacuum are obtained. Our numerical results support that the Schnabl's vacuum solution represents the minimum energy solution for arbitrary fluctuations also in open string field theory.

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