发表机构
Department of Physics, University of Pisa and INFN; University of Pisa（比萨大学物理系与意大利国家核物理研究所; 比萨大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究推导了满足多种条件的无限自旋塔振幅的解析边界，发现其小于但接近正性边界，且引力子极点对紫外谱有幺正性约束。
AI 中文摘要
我们研究满足幺正性、解析性、交叉对称性、多项式有界性以及隐藏零点和相应分裂条件的亚纯振幅的一般形式。这些振幅是无限自旋塔（IST）振幅，由极点的分布表征。当存在无限多个均匀分布的极点时，IST振幅简化为Veneziano振幅。我们以原始方式（规则纳入）构造此类幺正振幅并解析地推导其边界。我们得到的允许区域小于但接近正性边界（规则排除）允许的区域。我们论证，在能级无聚点的情况下，我们推导的解析边界是亚纯振幅原始构造中可能的最大边界。此类IST振幅还可扩展到与Virasoro-Shapiro振幅相关的完全交叉对称情形。我们从IST振幅中发现，引力子极点对紫外谱施加了幺正性约束。
英文摘要
We study the general form of meromorphic amplitudes that are compatible with unitarity, analyticity, crossing symmetry, polynomial boundedness and the hidden-zero and corresponding splitting conditions. These amplitudes are infinite-spin-tower (IST) amplitudes and are characterized by the distribution of poles. With infinitely many equidistant poles, the IST amplitudes reduce to Veneziano amplitudes. We construct such unitary amplitudes in a primal way (rule in) and find the bounds analytically. The allowed region we derive is smaller than, but close to, the region allowed by the positivity bounds (rule out). We argue that, with the conditions imposed, the analytic boundary we derive is the largest possible boundary in the primal construction of meromorphic amplitudes. This type of IST amplitude can also be extended to the fully crossing-symmetric case related to the Virasoro-Shapiro amplitude. We found from the IST amplitudes that graviton pole imposes unitarity constraints on UV spectrum.
Comments31 pages, 5 figures
