The field theoretic wavefunction in cosmological spacetimes has received much attention as a fundamental object underlying the generation of primordial perturbations in our universe. Assuming an initial Bunch-Davies state, unitary time evolution implies an infinite set of cutting rules for the wavefunction to all orders in perturbation theory, collectively known as the cosmological optical theorem. In this work, we generalise these results to the case of Bogoliubov initial states, accounting for both parity-even and parity-odd interactions. We confirm our findings in a few explicit examples, assuming IR-finite interactions. In these examples, we preserve scale invariance by adiabatically turning on interactions in the infinite past rather than imposing a Bogoliubov state at some finite initial time. Finally, we give a prescription for computing Bogoliubov wavefunction coefficients from the corresponding Bunch-Davies coefficients for both n-point contact and four-point exchange diagrams.
Reconstructing cosmological correlators via dispersion: from cutting to dressing rules
Indian Institute of Technology Kanpur（坎普尔印度理工学院）；International Centre for Theoretical Sciences (ICTS-TIFR) Tata Institute of Fundamental Research（理论科学国际中心（ICTS-TIFR）塔塔基础研究所）
本文通过色散关系重构宇宙相关函数，利用切割规则和 dressing 规则，揭示了从树级 de Sitter 威滕图到晚期时间片相关函数的联系。
Facultad de Ingeniería, Universidad San Sebastián（圣塞巴斯蒂安大学工程学院）；Departamento de Física, FCFM, Universidad de Chile（智利大学理学院和核物理研究所物理系）；Dipartimento di Fisica, Università di Torino, and INFN Sezione di Torino（都灵大学物理系及意大利国家核物理研究院都灵分部）；Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez（阿道夫·伊巴涅斯大学理工学）
