Localization of nonlocal theories
By Gianluca Calcagni, Michele Montobbio, G. Nardelli. 2007
144 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e48942fe3dbb85e18755002cba15fb307ec64f41
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In Mathematical Physics
Citations in the corpus
- Nonlinear Equations with Infinitely many Derivatives (2011, background): “Specifically, in bosonic string theory on Euclidean spaceRn appears the nonlocal Lagrangian density [7] L(φ) = φ e−c φ − U(x, φ), c > 0, (1) in which x ∈ Rn .”