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arXiv 2009.03375hep-th
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超弦场论中离壳格林函数的解析性

Analyticity of Off-shell Green's Functions in Superstring Field Theory

Ritabrata Bhattacharya, Ratul Mahanta

摘要:

本文考虑闭超弦场论中的离壳动量空间格林函数。最近在arXiv:1810.07197中,离壳格林函数-在明确去除无质量态的贡献后-已经被证明在复杂外部动量变量的域(称为LES域)上是解析的。离壳格林函数的解析性是一个众所周知的结果。使用复杂的洛伦兹变换和Bochner定理允许扩展LES域的原始域的一个更大的子集。对于2-、3-和4-点函数,恢复了完整的本原域。对于5点函数,我们无法解析地获得完整的原域,只能恢复其中的很大一部分。虽然这个问题也会出现在更高的点函数中,但预计这只是一个技术问题。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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