Localization of nonlocal theories |
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| Authors: | Gianluca Calcagni Michele Montobbio Giuseppe Nardelli |
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| Affiliation: | 1. Department of Physics, University of Sussex, Brighton BN1 9QH, United Kingdom;2. Dipartimento di Fisica and INFN Gruppo Collegato di Trento, Università di Trento, via Sommarive 14, 38100 Povo (Trento), Italy;3. Dipartimento di Matematica e Fisica, Università Cattolica, via Musei 41, 25121 Brescia, Italy;4. INFN Gruppo Collegato di Trento, Università di Trento, 38100 Povo (Trento), Italy |
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| 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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| Keywords: | 11.10.Lm 11.25.Sq |
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