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Nonlocal dynamics of p-adic strings

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Abstract

We consider the construction of Lagrangians that might be suitable for describing the entire p-adic sector of an adelic open scalar string. These Lagrangians are constructed using the Lagrangian for p-adic strings with an arbitrary prime number p. They contain space-time nonlocality because of the d’Alembertian in the argument of the Riemann zeta function. We present a brief review and some new results.

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Correspondence to B. G. Dragovich.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 164, No. 3, pp. 380–385, September, 2010.

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Dragovich, B.G. Nonlocal dynamics of p-adic strings. Theor Math Phys 164, 1151–1155 (2010). https://doi.org/10.1007/s11232-010-0093-4

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