2007/05/31 by Gianluca Calcagni, Michele Montobbio, Giuseppe Nardelli · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Formalism (music) #Physics #Quantum #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Scalar field #Statistical physics #Theoretical physics #advanced mathematical theories #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.76.126001
published as Phys.Rev.D76:126001,2007 · 20 pages, 3 figures. v2: references addded, typos corrected, discussion improved; v3: matches the published version
openalex publication_date 2007/12/03 · arxiv created 2007/12/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An analytic approach to phenomenological models inspired by cubic string field theory is introduced and applied to some examples. We study a class of actions for a minimally coupled, homogeneous scalar field whose energy density contains infinitely many time derivatives. These nonlocal systems are systematically localized and an algorithm to find cosmological solutions of the dynamical equations is provided. Our formalism is able to define the nonlocal field in regions of the parameter space which are inaccessible by standard methods. Also, problems related to nonlocality are reinterpreted under a novel perspective and naturally overcome. We consider phenomenological models living on a Friedmann-Robertson-Walker background with power-law scale factor, both in four dimensions and on a high-energy braneworld. The quest for solutions unravels general features of nonlocal dynamics indicating several future directions of investigation.