Localization of nonlocal theories

2007/12/31 by Gianluca Calcagni, Michele Montobbio, Giuseppe Nardelli · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cauchy distribution #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Hamiltonian (control theory) #Lagrangian #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Quantization (signal processing) #Scalar (mathematics) #Scalar field #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/j.physletb.2008.03.024

published as Phys.Lett.B662:285-289,2008 · 12 pages; v2: typos corrected

openalex publication_date 2008/03/15 · arxiv created 2008/04/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that a certain class of nonlocal scalar models, with a kinetic operator inspired by string field theory, is equivalent to a system which is local in the coordinates but nonlocal in an auxiliary evolution variable. This system admits both Lagrangian and Hamiltonian formulations, and its Cauchy problem and quantization are well-defined. We classify exact nonperturbative solutions of the localized model which can be found via the diffusion equation governing the fields.

Citations

• A Note on Non-Locality and Ostrogradski's Construction
• Physical degrees of freedom of non-local theories
• Analytic solutions for marginal deformations in open string field theory
• Canonical formalism for Lagrangians with nonlocality of finite extent
• Tachyon solutions in boundary and open string field theory
• Route to nonlocal cosmology
• Dynamics in nonlocal cosmological models derived from string field theory
• Time lumps in nonlocal stringy models and cosmological applications

Cited by

• Super-accelerating bouncing cosmology in asymptotically free non-local gravity
• A new formulation of the initial value problem for nonlocal theories