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Prog. Theor. Phys. Vol. 122 No. 2 (2009) pp. 385-399

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Vacuum Structure around Identity-Based Solutions

Isao Kishimoto1 and Tomohiko Takahashi2

1Theoretical Physics Laboratory, RIKEN, Wako 351-0198, Japan
2Department of Physics, Nara Women's University, Nara 630-8506, Japan

(Received April 21, 2009)

Abstract:

We explore the vacuum structure in bosonic open string field theory expanded around an identity-based solution parameterized by a (≥-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 a > -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 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.

Subject Index : 126, 128
URL : http://ptp.ipap.jp/link?PTP/122/385/
DOI : 10.1143/PTP.122.385

[ Full Text PDF : FREE ACCESS (383K) ] Citation:


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Citing Article(s) :

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