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.
Nardelli, G., Calcagni, G., Montobbio, M., Localization of nonlocal theories, <<PHYSICS LETTERS. SECTION B>>, 2008; (B662): 285-289 [http://hdl.handle.net/10807/7714]
Localization of nonlocal theories
Nardelli, Giuseppe;Calcagni, Gianluca;Montobbio, Michele
2008
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.
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