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This article is cited in 2 scientific papers (total in 2 papers)
The $p$-adic sector of the adelic string
B. G. Dragovich Institute of Physics, Belgrade, Serbia
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.
Keywords:
$p$-adic string, nonlocal field theory, Riemann zeta function.
Citation:
B. G. Dragovich, “The $p$-adic sector of the adelic string”, TMF, 163:3 (2010), 449–455; Theoret. and Math. Phys., 163:3 (2010), 768–773
Linking options:
https://www.mathnet.ru/eng/tmf6513https://doi.org/10.4213/tmf6513 https://www.mathnet.ru/eng/tmf/v163/i3/p449
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Abstract page: | 408 | Full-text PDF : | 192 | References: | 69 | First page: | 7 |
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