发表机构
Tsinghua University; Peng Huanwu Center for Fundamental Theory（清华大学; 彭桓武理论物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用复苏理论，从低能有效理论结合幺正性与邦奇-戴维斯边界条件，重构含重粒子交换的暴胀关联函数，恢复指数抑制的宇宙学碰撞器信号，建立局域EFT与非解析重粒子产生间的复苏关系。
AI 中文摘要
将重粒子积分掉通常被视为一个不可逆的过程，它会抹去超出所得有效理论截断能标以上的部分物理信息。然而，这并不排除在提供适当边界数据的条件下，从低能有效理论中恢复重传播自由度的可能性。一个经典的例子是从重求和后的欧拉-海森堡有效作用量中恢复施温格粒子对产生。在本工作中，我们在宇宙学背景下进行了类似的尝试。我们证明，对于离散的重谱和任意的树级拓扑，可以从低能有效理论结合幺正性和邦奇-戴维斯边界条件，重构出含有重粒子交换的暴胀关联函数。发散的有效场论级数通过三种方式进行了重求和：边界微分算子、谱表示以及博雷尔重求和，并且通过解析延拓恢复了指数抑制的宇宙学碰撞器信号。我们的构造提供了局域有效场论背景与非解析重粒子产生之间的复苏关系，并且也可以被视为色散自举的一个逆问题。
英文摘要
Integrating out heavy particles is generally viewed as an irreversible procedure that erases some physical information above the cutoff scale of the resulting effective theory. However, this does not preclude the possibility of recovering the heavy propagating degrees from the low-energy effective theory with appropriate boundary data supplied. A classic example is the recovery of Schwinger pair production from the resummed Euler-Heisenberg effective action. In this work, we perform a similar exercise in a cosmological setting. We show that it is possible to reconstruct the inflationary correlators with massive exchanges, for a discrete heavy spectrum and arbitrary tree topologies, from the low-energy effective theory together with unitarity and Bunch-Davies boundary conditions. The divergent EFT series is resummed in three ways: the boundary differential operators, spectral representation, and Borel resummation, and the exponentially suppressed cosmological collider signals are recovered via analytic continuation. Our construction provides a resurgent relation between the local EFT background and the nonanalytic heavy-particle production, and may also be viewed as an inverse problem for the dispersive bootstrap.
Comments53 pages
