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Testing Gravity and Predictions Beyond the Standard Model at Short Distances: The Casimir Effect

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Modified and Quantum Gravity

Part of the book series: Lecture Notes in Physics ((LNP,volume 1017))

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Abstract

The Standard Model of elementary particles and their interactions does not include the gravitational interaction and faces problems in understanding dark matter, dark energy, strong CP violation etc. To solve these problems, many predictions of new light elementary particles and hypothetical interactions have been made. These predictions can be constrained by many means including measuring the Casimir force caused by the zero-point and thermal fluctuations. After discussing the theory of the Casimir effect, the strongest constraints on the power-type and Yukawa-type corrections to Newtonian gravity, following from measuring the Casimir force are considered. Next, the problems of dark matter, dark energy and their probable constituents are discussed. This is followed by an analysis of constraints on the dark matter particles, including axions and axion-like particles, obtained from the Casimir effect. The question of whether the Casimir effect can be used for constraining the spin-dependent interactions is considered. Then the constraints on the dark energy particles, like chameleons and symmetrons, are examined. In all cases we discuss not only measurements of the Casimir force but some other relevant table-top experiments as well. In conclusion, the prospects of the Casimir effect for constraining theoretical predictions beyond the Standard Model are summarized.

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Acknowledgements

G.L.K. was partially funded by the Ministry of Science and Higher Education of Russian Federation (“The World-Class Research Center: Advanced Digital Technologies,” contract No. 075-15-2022-311 dated April 20, 2022). The research of V.M.M. was partially carried out in accordance with the Strategic Academic Leadership Program “Priority 2030” of the Kazan Federal University.

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Authors and Affiliations

  1. Central Astronomical Observatory at Pulkovo of the Russian Academy of Sciences, Saint Petersburg, Russia

    Galina L. Klimchitskaya

  2. Peter the Great Saint Petersburg Polytechnic University, Saint Petersburg, Russia

    Galina L. Klimchitskaya

  3. Central Astronomical Observatory at Pulkovo of the Russian Academy of Sciences, Saint Petersburg, Russia

    Vladimir M. Mostepanenko

  4. Peter the Great Saint Petersburg Polytechnic University, Saint Petersburg, Russia

    Vladimir M. Mostepanenko

  5. Kazan Federal University, Kazan, Russia

    Vladimir M. Mostepanenko

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  1. Galina L. Klimchitskaya
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  1. ZARM, University of Bremen, Bremen, Germany

    Christian Pfeifer

  2. ZARM, University of Bremen, Bremen, Germany

    Claus Lämmerzahl

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Klimchitskaya, G.L., Mostepanenko, V.M. (2023). Testing Gravity and Predictions Beyond the Standard Model at Short Distances: The Casimir Effect. In: Pfeifer, C., Lämmerzahl, C. (eds) Modified and Quantum Gravity. Lecture Notes in Physics, vol 1017. Springer, Cham. https://doi.org/10.1007/978-3-031-31520-6_13

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