Authors: | Dragovich, B. | Title: | The p-adic sector of the adelic string | Journal: | Theoretical and Mathematical Physics | Volume: | 163 | Issue: | 3 | First page: | 768 | Last page: | 773 | Issue Date: | 22-Jul-2010 | ISSN: | 00405779 | DOI: | 10.1007/s11232-010-0060-0 | URL: | https://api.elsevier.com/content/abstract/scopus_id/77954668175 | Abstract: | We study the construction of Lagrangians that can be considered the Lagrangians of the p-adic sector of an adelic open scalar string. Such Lagrangians are closely related to the Lagrangian for a single p-adic string and contain the Riemann zeta function with the d'Alembertian in its argument. In particular, we present a new Lagrangian obtained by an additive approach that combines all p-adic Lagrangians. This new Lagrangian is attractive because it is an analytic function of the d'Alembertian. Investigating the field theory with the Riemann zeta function is also interesting in itself. © 2010 MAIK/Nauka. |
Keywords: | Nonlocal field theory | p-adic string | Riemann zeta function |
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