vix.ing · top · new · best · stats · spec

Can asymptotic series resolve the problems of inflation?

1996/04/26 by Robert Brandenberger, Robert H. Brandenberger, Ariel Zhitnitsky +1
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Computer science #Constant (computer programming) #Cosmology and Gravitation Theories #Curse of dimensionality #Exploit #Inflation (cosmology) #Lagrangian #Mathematics #Physics #Realization (probability) #Relativity and Gravitational Theory #Series (stratigraphy) #Statistics #Theoretical physics #astro-ph #gr-qc #hep-ph

paper · pdf · doi:10.1103/physrevd.55.4640

published as Phys.Rev.D55:4640-4646,1997 · 12 pages, uses Latex

arxiv created 1996/04/26 · openalex publication_date 1997/04/15 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss a cosmological scenario in which inflation is driven by a potential which is motivated by an effective Lagrangian approach to gravity. We exploit the recent arguments that an effective Lagrangian Leff which, by definition, contains operators of arbitrary dimensionality, is in general not a convergent but rather an asymptotic series with factorially growing coefficients. The potential we use is obtained by resumming this series. It provides a natural realization of the inflationary scenario. By taking into account a cosmological infrared cutoff, we propose a mechanism which simultaneously provides a graceful exit from inflation and relaxes to zero the contribution to the cosmological constant which stems from the inflaton Lagrangian.

Citations