Nonlocal instantons and solitons in string models

Abstract

We study a class of nonlocal systems which can be described by a local scalar field diffusing in an auxiliary radial dimension. As examples p-adic, open and boundary string field theory are considered on Minkowski, Friedmann-Robertson-Walker and Euclidean metric backgrounds. Starting from distribution-like initial field configurations which are constant almost everywhere, we construct exact and approximate nonlocal solutions. The Euclidean p-adic lump is interpreted as a solitonic brane, and the Euclidean kink of supersymmetric open string field theory as an instanton. Some relations between solutions of different string theories are highlighted also thanks to a reformulation of nonlocal systems as fixed points in a renormalization group flow.

12 pages

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Cited by in corpus (29)

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• Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings
• Tachyon solutions in boundary and cubic string field theory
• Reconstruction Procedure in Nonlocal Cosmological Models
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• Cosmological perturbations in SFT inspired non-local scalar field models
• Kinks of open superstring field theory
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• Nonlocal Inflation
• Exact Solutions for Nonlocal Nonlinear Field Equations in Cosmology
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