B. G. Dragovich, “Nonlocal dynamics of $p$-adic strings”, TMF, 164:3 (2010), 380–385; Theoret. and Math. Phys., 164:3 (2010), 1151

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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 3, Pages 380–385
DOI: https://doi.org/10.4213/tmf6547 (Mi tmf6547)

This article is cited in 10 scientific papers (total in 10 papers)

Nonlocal dynamics of

p

$p$ -adic strings

B. G. Dragovich

Institute of Physics, Belgrade, Serbia

Full-text PDF (378 kB) Citations (10)

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DOI: https://doi.org/10.4213/tmf6547

Abstract: We consider the construction of Lagrangians that might be suitable for describing the entire

p

$p$ -adic sector of an adelic open scalar string. These Lagrangians are constructed using the Lagrangian for

p

$p$ -adic strings with an arbitrary prime number

p

$p$ . 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

$p$ -adic string, Riemann zeta function.

English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 3, Pages 1151–1155
DOI: https://doi.org/10.1007/s11232-010-0093-4

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: B. G. Dragovich, “Nonlocal dynamics of

p

$p$ -adic strings”, TMF, 164:3 (2010), 380–385; Theoret. and Math. Phys., 164:3 (2010), 1151–1155

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf6547

https://doi.org/10.4213/tmf6547

https://www.mathnet.ru/eng/tmf/v164/i3/p380

This publication is cited in the following 10 articles:

A. Chávez, M. Ortiz, H. Prado, E.G. Reyes, “Linear equations with infinitely many derivatives and explicit solutions to zeta nonlocal equations”, Nuclear Physics B, 1007 (2024), 116680
I. Dimitrijević, B. Dragovich, Z. Rakić, J. Stanković, “On nonlocal modified gravity”, Chebyshevskii sb., 21:2 (2020), 109–138
Chavez A. Prado H. Reyes E.G., “The Laplace Transform and Nonlocal Field Equations”, AIP Conference Proceedings, 2075, ed. Mishonov T. Varonov A., Amer Inst Physics, 2019, 090027-1
Chavez A. Prado H. Reyes E.G., “A Laplace Transform Approach to Linear Equations With Infinitely Many Derivatives and Zeta-Nonlocal Field Equations”, Adv. Theor. Math. Phys., 23:7 (2019), 1771–1804
Dragovich B. Khrennikov A.Yu. Kozyrev S.V. Volovich I.V. Zelenov E.I., “P-Adic Mathematical Physics: the First 30 Years”, P-Adic Numbers Ultrametric Anal. Appl., 9:2 (2017), 87–121
Ivan Dimitrijevic, Branko Dragovich, Jelena Stankovic, Alexey S. Koshelev, Zoran Rakic, Springer Proceedings in Mathematics & Statistics, 191, Lie Theory and Its Applications in Physics, 2016, 35
Branko Dragovich, Springer Proceedings in Mathematics & Statistics, 111, Lie Theory and Its Applications in Physics, 2014, 251
Dimitrijevic I., Dragovich B., Grujic J., Rakic Z., “New Cosmological Solutions in Nonlocal Modified Gravity”, Rom. J. Phys., 58:5-6 (2013), 550–559
Ivan Dimitrijevic, Branko Dragovich, Jelena Grujic, Zoran Rakic, Lie Theory and Its Applications in Physics, 2013, 251
Branko Dragovich, Springer Proceedings in Mathematics & Statistics, 36, Lie Theory and Its Applications in Physics, 2013, 13

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	194
References:	76
First page:	19

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