论文标题
非壳绿色功能的分析性在SuperString Field理论中
Analyticity of Off-shell Green's Functions in Superstring Field Theory
论文作者
论文摘要
我们考虑了封闭的超级弦线理论中脱壳动量空间的功能。最近，在Arxiv：1810.07197中，在复杂的外部动量变量中，已证明对无质量状态的贡献（明确删除无数状态的贡献）在一个域（称为LES域）进行分析。众所周知的结果是，原始领域中没有无质量状态的本地QFT中脱壳绿色功能的分析性。使用复杂的Lorentz变换和Bochner定理允许将LES域扩展到原始域的较大子集。对于2-，3和4分和4分函数，恢复了完整的原始域。对于5点函数，我们无法分析获得完整的原始域，只有很大一部分被恢复。尽管此问题也出现在更高的功能方面，但预计它只是一个技术问题。
We consider the off-shell momentum space Green's functions in closed superstring field theory. Recently in arXiv:1810.07197, the off-shell Green's functions -- after explicitly removing contributions of massless states -- have been shown to be analytic on a domain (to be called the LES domain) in complex external momenta variables. Analyticity of off-shell Green's functions in local QFTs without massless states in the primitive domain is a well-known result. Using complex Lorentz transformations and Bochner's theorem allow to extend the LES domain to a larger subset of the primitive domain. For the 2-, 3- and 4-point functions, the full primitive domain is recovered. For the 5-point function, we are not able to obtain the full primitive domain analytically, only a large part of it is recovered. While this problem arises also for higher-point functions, it is expected to be only a technical issue.
