Geodesic
The $p$-adic sector of the adelic string
Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 3, pp. 449-455 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: $p$-adic string, nonlocal field theory, Riemann zeta function. 
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B. G. Dragovich. The $p$-adic sector of the adelic string. Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 3, pp. 449-455. http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a8/

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