2012/03/31 by Leonardo Senatore, Matias Zaldarriaga, Matías Zaldarriaga · 96 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Algorithm #Complex Systems and Time Series Analysis #Computer science #Cosmology and Gravitation Theories #Coupling (piping) #Function (biology) #Horizon #Inflation (cosmology) #Mathematics #Mode (computer interface) #Physics #Projection (relational algebra) #Quantum mechanics #Scale (ratio) #Statistical physics #Stochastic processes and financial applications #Theoretical physics #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep01(2013)109
published in Journal of High Energy Physics 2013(1) (Springer Nature) · 13 pages, 1 figure; v2: JHEP published version, added minor comments and references
openalex publication_date 2013/01/01 · arxiv created 2013/02/11 · arxiv updated 2015/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
A bstract In single clock models of inflation the coupling between modes of very different scales does not have any significant dynamical effect during inflation. It leads to interesting projection effects. Larger and smaller modes change the relation between the scale a mode of interest will appear in the post-inflationary universe and will also change the time of horizon crossing of that mode. We argue that there are no infrared projection effects in physical questions, that there are no effects from modes of longer wavelength than the one of interest at the time of reheating. These potential effects cancel when computing fluctuations as a function of physically measurable scales. Modes on scales smaller than the one of interest change the mapping between horizon crossing time and scale. The correction to the mapping computed in the absence of fluctuations is enhanced by a factor N e , the number of e -folds of inflation between horizon crossing and reheating. The new mapping is stochastic in nature but its variance is not enhanced by N e .