Tadpoles and closed string backgrounds in open string field theory
Tadpoles and closed string backgrounds in open string field theory
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开弦场论中的蝌蚪和闭弦背景
DOI：
10.1088/1126-6708/2003/07/059
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发表时间：
2003
影响因子：
5.4
通讯作者：
W. Taylor
中科院分区：
文献类型：
--
作者：
I. Ellwood;J. Shelton;W. Taylor
利用振子方法和共形场论方法，通过计算开弦蝌蚪的单圈贡献，研究了Witten三次开放玻色弦场论的量子结构。我们发现了由快子和无质量闭弦状态引起的蝌蚪图中BRST不变性的发散和破裂，并讨论了处理这些问题的方法。对于具有足够多横向维度的DP膜，可以通过用手解析地继续闭合弦快子来呈现有限的蝌蚪；然后该图自然地结合了由于膜的存在而导致的闭合弦背景的(线性化的)移动。我们观察到，在更高的回路上的分歧将导致在任意维DP膜上分析玻色开弦场论中一般量子效应的任何直接尝试失败，但我们的分析并没有发现在超对称情况下存在任何潜在的障碍来存在敏感的量子开弦场论。
We investigate the quantum structure of Witten's cubic open bosonic string field theory by computing the one-loop contribution to the open string tadpole using both oscillator and conformal field theory methods. We find divergences and a breakdown of BRST invariance in the tadpole diagram arising from tachyonic and massless closed string states, and we discuss ways of treating these problems. For a Dp-brane with sufficiently many transverse dimensions, the tadpole can be rendered finite by analytically continuing the closed string tachyon by hand; this diagram then naturally incorporates the (linearized) shift of the closed string background due to the presence of the brane. We observe that divergences at higher loops will doom any straightforward attempt at analyzing general quantum effects in bosonic open string field theory on a Dp-brane of any dimension, but our analysis does not uncover any potential obstacles to the existence of a sensible quantum open string field theory in the supersymmetric case.