Geodesic
Nonlocal dynamics of $p$-adic strings
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 380-385

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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.
Keywords: nonlocal field theory, $p$-adic string, Riemann zeta function. 
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     author = {B. G. Dragovich},
     title = {Nonlocal dynamics of $p$-adic strings},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {380--385},
     publisher = {mathdoc},
     volume = {164},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a5/}
}
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B. G. Dragovich. Nonlocal dynamics of $p$-adic strings. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 380-385. http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a5/