Quantum Field Theory Free of Divergences

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Yuriy Nikolaevich Zayko
Yuriy Nikolaevich Zayko

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The paper proposes the option of combining gravity and quantum field theory, which avoids the divergences in the latter. The consideration is carried out on the example of calculating the Casimir force between two endless parallel plates for a scalar massive field. The results of traditional solutions containing the divergences of the energy of quantum fluctuations of a vacuum and methods of eliminating them by known ways are presented. It is shown that taking into account the mass of plates, which leads to a curvature of space-time, allows us to obtain the same result without divergence by calculating the Riemann zeta function in the curved metric.

19 Cites in Articles

References

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  18. G Lambiase,A Stabile,An Stabile Casimir effect in Extended Theories of Gravity.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Yuriy Nikolaevich Zayko. 2020. \u201cQuantum Field Theory Free of Divergences\u201d. Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 20 (GJSFR Volume 20 Issue A1): .

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Issue Cover
GJSFR Volume 20 Issue A1
Pg. 27- 31
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-A Classification: FOR Code: 020699
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v1.2

Issue date

February 10, 2020

Language

English

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The paper proposes the option of combining gravity and quantum field theory, which avoids the divergences in the latter. The consideration is carried out on the example of calculating the Casimir force between two endless parallel plates for a scalar massive field. The results of traditional solutions containing the divergences of the energy of quantum fluctuations of a vacuum and methods of eliminating them by known ways are presented. It is shown that taking into account the mass of plates, which leads to a curvature of space-time, allows us to obtain the same result without divergence by calculating the Riemann zeta function in the curved metric.

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Quantum Field Theory Free of Divergences

Yuriy Nikolaevich Zayko
Yuriy Nikolaevich Zayko

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