平直時空的宇宙關聯子

Abstract

在本論文中，我們考慮四維平坦空間等時關聯子的自舉。我們在平坦空間相關器中回顧了「宇宙光學定理」（COT），然後利用總能量為零和部分能量為零極限的約束、顯式局部性以及Ward-Takahashi恆等式對樹級關聯子進行約束。為了應用於費米子關聯子，我們推導出半整數算符的COT，並給出適用於Dirac和Majorana費米子的獨特規則，適用於宇宙的內部體積。

In this thesis, we consider the bootstrap of a four-dimensional flat space equal time correlator. we review the “Cosmological Optical Theorem” (COT) in the context of flat space correlators and proceed to constrain tree-level correlators using the constraints of total energy and partial energy poles, manifest locality, and Ward-Takahashi identities. To apply this to fermionic correlators, we derive the COT for half-integer operators and give distinctive rules suitable for Dirac and Majorana fermions in the bulk.