Authors: Dragovich, B.
Title: Zeta-nonlocal scalar fields
Journal: Theoretical and Mathematical Physics
Volume: 157
Issue: 3
First page: 1671
Last page: 1677
Issue Date: 1-Dec-2008
ISSN: 00405779
DOI: 10.1007/s11232-008-0139-z
We consider some nonlocal and nonpolynomial scalar field models originating from p-adic string theory. An infinite number of space-time derivatives is determined by the operator-valued Riemann zeta function through the d'Alembertian in its argument. The construction of the corresponding Lagrangians L starts with the exact Lagrangian for the effective field of the p-adic tachyon string, which is generalized by replacing p with an arbitrary natural number n and then summing over all n. We obtain several basic classical properties of these fields. In particular, we study some solutions of the equations of motion and their tachyon spectra. The field theory with Riemann zeta-function dynamics is also interesting in itself. © 2008 MAIK/Nauka.
Keywords: Nonlocal field theory | P-adic string theory | Riemann zeta function

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