Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-07
Prog.Theor.Phys.122:385-399,2009
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 9 figures; v2: typos corrected
Scientific paper
10.1143/PTP.122.385
We explore vacuum structure in bosonic open string field theory expanded around an identity based solution parameterized by $a$ (>= -1/2). Analyzing the expanded theory by using level truncation approximation up to level 14, we find that the theory has a stable vacuum solution for $a$>-1/2. The vacuum energy and the gauge invariant overlap numerically approach those of the tachyon vacuum solution with increasing truncation level. Also we find that, at $a$=-1/2, there exists an unstable vacuum solution in the expanded theory and it rapidly becomes the trivial zero configuration just above $a$=-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 $a$>-1/2, but it can be regarded as the tachyon vacuum solution at $a$=-1/2.
Kishimoto Isao
Takahashi Tomohiko
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