English

Localization of nonlocal theories

High Energy Physics - Theory 2008-11-26 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.0712.2237,
  title  = {Localization of nonlocal theories},
  author = {Gianluca Calcagni and Michele Montobbio and Giuseppe Nardelli},
  journal= {arXiv preprint arXiv:0712.2237},
  year   = {2008}
}

Comments

12 pages; v2: typos corrected

R2 v1 2026-06-21T09:53:52.848Z