Vacuum Structure around Identity-Based Solutions(Particles and Fields)

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We explore the vacuum structure in bosonic open string field theory expanded around an identity-based solution parameterized by α (≥-1/2). Analyzing the expanded theory using level truncation approximation up to level 14, we find that the theory has a stable vacuum solution for α>-1/2. The vacuum energy and gauge invariant overlap numerically approach those of the tachyon vacuum solution with increasing truncation level. We also find that, at α=-1/2, there exists an unstable vacuum solution in the expanded theory and it rapidly becomes the trivial zero configuration just above α=-1/2. The numerical behavior of the two gauge invariants suggests that the unstable solution corresponds to the perturbative open string vacuum. These results reasonably support the expectation that the identity-based solution is a trivial pure gauge configuration for α>-1/2, but it can be regarded as the tachyon vacuum solution at α=-1/2.
理論物理学刊行会の論文
2009-08-25