2016/01/06 by Hongliang Jiang, Yi Wang, Siyi Zhou · 18 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Exponential function #Limit (mathematics) #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Point (geometry) #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Resummation #Statistical physics #hep-th
paper · pdf · doi:10.1088/1475-7516/2016/04/041
published in Journal of Cosmology and Astroparticle Physics 2016(04), 041 (Institute of Physics) · 37 pages, 11 figures, an extension of previous work http://arxiv.org/abs/1507.05193
arxiv created 2016/01/06 · openalex publication_date 2016/04/21 · arxiv updated 2016/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
It is usually assumed that the inflationary fluctuations start from the Bunch-Davies (BD) vacuum and the i ε prescription is used when interactions are calculated. We show that those assumptions can be verified explicitly by calculating the loop corrections to the inflationary two-point and three-point correlation functions. Those loop corrections can be resummed to exponential factors, which suppress non-BD coefficients and behave as the i ε factor for the case of the BD initial condition. A new technique of loop chain diagram resummation is developed for this purpose. For the non-BD initial conditions which is setup at finite time and has not fully decayed, explicit correction to the two-point and three-point correlation functions are calculated. Especially, non-Gaussianity in the folded limit is regularized due to the interactions.