2004/08/31 by Tristan Brunier, T. Brunier, V. K. Onemli +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter universe #Galaxies: Formation, Evolution, Phenomena #Geometry #Inflation (cosmology) #Massless particle #Mathematical physics #Physics #Quantum electrodynamics #Quantum mechanics #Quartic function #Regularization (linguistics) #Renormalization #Scalar (mathematics) #Scalar field #Universe #astro-ph #gr-qc #hep-ph
paper · pdf · doi:10.1088/0264-9381/22/1/005
published as Class.Quant.Grav.22:59-84,2005 · 31 pages, 5 figures, revtex4, revised for publication with extended list of references
arxiv created 2004/11/29 · openalex publication_date 2004/12/04 · arxiv updated 2010/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
We work in the locally de Sitter background of an inflating universe and consider a massless, minimally coupled scalar with a quartic self-interaction. We use dimensional regularization to compute the fully renormalized scalar self-mass-squared at one- and two-loop order for a state which is released in Bunch–Davies vacuum at t = 0. Although the field strength and coupling constant renormalizations are identical to those of flat space, the geometry induces a non-zero mass renormalization. The finite part also shows a sort of growing mass that competes with the classical force in eventually turning off this system's super-acceleration.