G. V. Efimov, “Amplitudes in Nonlocal Theories at High Energies”, TMF, 128:3 (2001), 395–402; Theoret. and Math. Phys., 128:3 (2001), 1169

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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 128, Number 3, Pages 395–402
DOI: https://doi.org/10.4213/tmf503 (Mi tmf503)

This article is cited in 27 scientific papers (total in 27 papers)

Amplitudes in Nonlocal Theories at High Energies

G. V. Efimov

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Full-text PDF (201 kB) Citations (27)

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DOI: https://doi.org/10.4213/tmf503

Abstract: We obtain the upper bound for the total scattering cross section

$\sigma_{\text{tot}}(s)\leq Cs^{\rho-1}\ln^2s$ in the nonlocal quantum field theory of a scalar field with a bounded amplitude growth

$\sim e^{B\|p^2\|^\rho}$ in the complex momentum

$p^2$ -space.

Received: 27.04.2001

English version:
Theoretical and Mathematical Physics, 2001, Volume 128, Issue 3, Pages 1169–1175
DOI: https://doi.org/10.1023/A:1012351501139

Bibliographic databases:

Language: Russian

Citation: G. V. Efimov, “Amplitudes in Nonlocal Theories at High Energies”, TMF, 128:3 (2001), 395–402; Theoret. and Math. Phys., 128:3 (2001), 1169–1175

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf503

https://doi.org/10.4213/tmf503

https://www.mathnet.ru/eng/tmf/v128/i3/p395

This publication is cited in the following 27 articles:

Fabio Briscese, Handbook of Quantum Gravity, 2024, 1
Fabio Briscese, Handbook of Quantum Gravity, 2024, 1301
Briscese F. Modesto L., “Non-Unitarity of Minkowskian Non-Local Quantum Field Theories”, Eur. Phys. J. C, 81:8 (2021), 730
Guskov V.A. Ivanov M.G. Ogarkov S.L., “A Note on Efimov Nonlocal and Nonpolynomial Quantum Scalar Field Theory”, Phys. Part. Nuclei, 52:3 (2021), 420–437
Briscese F. Modesto L., “Unattainability of the Trans-Planckian Regime in Nonlocal Quantum Gravity”, J. High Energy Phys., 2020, no. 9, 56
Ivan Chebotarev, Vladislav Guskov, Stanislav Ogarkov, Matthew Bernard, “S-Matrix of Nonlocal Scalar Quantum Field Theory in Basis Functions Representation”, Particles, 2:1 (2019), 103
Matthew Bernard, Vladislav A. Guskov, Mikhail G. Ivanov, Alexey E. Kalugin, Stanislav L. Ogarkov, “Nonlocal Scalar Quantum Field Theory—Functional Integration, Basis Functions Representation and Strong Coupling Expansion”, Particles, 2:3 (2019), 385
Calcagni G., Modesto L., Nardelli G., “Initial Conditions and Degree of Freedom of Non-Local Gravity”, J. High Energy Phys., 2018, no. 5, 087
Koshelev A.S., Kumar K.S., Modesto L., Rachwal L., “Finite Quantum Gravity in Ds and AdS Spacetimes”, Phys. Rev. D, 98:4 (2018), 046007
Modesto L., Rachwal L., “Nonlocal Quantum Gravity: a Review”, Int. J. Mod. Phys. D, 26:11 (2017), 1730020
Giaccari S., Modesto L., “Nonlocal Supergravity”, Phys. Rev. D, 96:6 (2017), 066021
Calcagni G., “Cosmology of Quantum Gravities”: G. Calcagni, Classical and Quantum Cosmology, Graduate Texts in Physics, Springer International Publishing Ag, 2017, 543–624
Bambi C., Modesto L., Rachwal L., “Spacetime Completeness of Non-Singular Black Holes in Conformal Gravity”, J. Cosmol. Astropart. Phys., 2017, no. 5, 003
Modesto L., “Super-renormalizable or finite Lee?Wick quantum gravity”, Nucl. Phys. B, 909 (2016), 584–606
Modesto L., Piva M., Rachwal L., “Finite quantum gauge theories”, Phys. Rev. D, 94:2 (2016), 025021
Modesto L. Rachwal L., “Universally Finite Gravitational and Gauge Theories”, Nucl. Phys. B, 900 (2015), 147–169
Dona P. Giaccari S. Modesto L. Rachwal L. Zhu Y., “Scattering Amplitudes in Super-Renormalizable Gravity”, J. High Energy Phys., 2015, no. 8, 038
Gianluca Calcagni, Leonardo Modesto, “Nonlocal quantum gravity and M-theory”, Phys. Rev. D, 91:12 (2015)
Modesto L., Rachwal L., “Super-Renormalizable and Finite Gravitational Theories”, Nucl. Phys. B, 889 (2014), 228–248
Briscese F., Modesto L., Tsujikawa Sh., “Super-Renormalizable Or Finite Completion of the Starobinsky Theory”, Phys. Rev. D, 89:2 (2014), 024029

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

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References:	54
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