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arXiv 0904.1095hep-th
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基于身份的解决方案周围的真空结构

Vacuum structure around identity based solutions

Isao Kishimoto, Tomohiko Takahashi

摘要:

我们探讨了玻色开弦场论中的真空结构,它是围绕由$a$(>= -1/2)参数化的基于恒等式的解展开的。利用能级截断近似对扩展后的理论进行分析,发现当$a$ >-1/2时,该理论有稳定的真空解。随着截断能级的增加,真空能量和规范不变量重叠数值上接近快子真空解。我们还发现,当$a$ =-1/2时,在展开理论中存在一个不稳定的真空解,它在$a$ =-1/2时迅速变为平凡零组态.两个规范不变量的数值行为表明,不稳定的解决方案对应于微扰开弦真空。这些结果合理地支持了这样的预期:当$a$ >-1/2时,基于恒等式的解是一个平凡的纯规范位形,但当$a$ =-1/2时,它可以被看作快子真空解.

英文摘要:

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.

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