2021/01/26 by Wei-Chen Lin, Wei‐Chen Lin, Rance Solomon +1
Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Black Holes and Theoretical Physics #Combinatorics #Computer science #Conjecture #Cosmology and Gravitation Theories #Discrete mathematics #Embedding #Field (mathematics) #Galaxies: Formation, Evolution, Phenomena #Mathematical analysis #Mathematical physics #Mathematics #Metric space #Physics #Pure mathematics #Upper and lower bounds #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.103.063533
published as Phys. Rev. D 103, 063533 (2021) · 17 pages. (V2: typos corrected and references added.)
openalex created_date 2021/01/18 · arxiv created 2021/01/26 · openalex publication_date 2021/03/26 · arxiv updated 2021/03/31 · openalex updated_date 2026/08/05
We study the general embedding of a P(X,\ensuremathφ) inflationary theory into a two-field theory with a curved field space metric, which was proposed as a possible way to examine the relation between de Sitter swampland conjecture and k-inflation. We show that this embedding method fits into the special type of two-field model in which the heavy field can be integrated out at the full action level. However, this embedding is not exact due to the upper bound of the effective mass of the heavy field. We quantify the deviation between the speed of sound calculated via the P(X,\ensuremathφ) theory and the embedded two-field picture to next leading order terms. We especially focus on the first potential slow-roll parameter defined in the two-field picture and obtain an upper bound on it.