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Casimir pressure with dissipation and quantum corrections from axion dark matter

Philippe Brax1 and Pierre Brun2

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Phys. Rev. D 112, 023507 – Published 7 July, 2025

DOI: https://doi.org/10.1103/1zcj-swyj

Abstract

We study the effects of the oscillating axion field present in our environment on the Casimir pressure between two metallic plates. We take into account the finite conductivity of the boundary plates and model the interactions between matter and photons in the Schwinger-Keldysh formalism. This allows us to take into account dissipation in the quantum field description of this open quantum system and retrieve the Lifschitz results for the Casimir interaction between two metallic plates. We then compute the leading correction to the Lifschitz theory in inverse powers of the axion suppression scale and show that the Casimir pressure receives oscillating corrections depending on the product of the axion mass and the distance between the plates. This contribution is repulsive at large distance compared to the axion Compton wavelength as a consequence of the breaking of parity invariance by the axion dark matter background.

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References (38)

  1. H. B. G. Casimir, Indagat. Math 10, 261 (1948).
  2. K. Milton, The Casimir Effect: Physical Manifestations of Zero-point Energy, EBL-Schweitzer (World Scientific, Singapore, 2001).
  3. G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko, Rev. Mod. Phys. 81, 1827 (2009).
  4. G. Bimonte, T. Emig, M. Kardar, and M. Krüger, Annu. Rev. Condens. Matter Phys. 8, 119 (2017).
  5. G. Bimonte, T. Emig, and M. Kardar, Europhys. Lett. 104, 21001 (2013).
  6. G. Bimonte and T. Emig, Universe 7, 225 (2021).
  7. G. Bimonte, T. Emig, N. Graham, and M. Kardar, Annu. Rev. Nucl. Part. Sci. 72, 1 (2022).
  8. M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko, Advances in the Casimir Effect (Oxford University Press, New York, 2009), Vol. 145.
  9. K. A. Milton, J. Phys. A 37, R209 (2004).
  10. R. L. Jaffe, Phys. Rev. D 72, 021301 (2005).
  11. N. Graham, R. L. Jaffe, V. Khemani, M. Quandt, M. Scandurra, and H. Weigel, Phys. Lett. B 572, 196 (2003).
  12. S. Mobassem, Mod. Phys. Lett. A 29, 1450160 (2014).
  13. A. M. Favitta, I. H. Brevik, and M. M. Chaichian, Ann. Phys. (Amsterdam) 455, 169396 (2023).
  14. P. Brax and P. Brun, Phys. Rev. D 110, 056015 (2024).
  15. G. L. Klimchitskaya and V. M. Mostepanenko, MDPI Phys. 5, 952 (2023).
  16. R. Guérout, G.-L. Ingold, A. Lambrecht, and S. Reynaud, Symmetry 10, 37 (2018).
  17. S. A. Salcedo, T. Colas, and E. Pajer, J. High Energy Phys. 03 (2025) 138.
  18. C. R. Galley, Phys. Rev. Lett. 110, 174301 (2013).
  19. Y. Donath and E. Pajer, J. High Energy Phys. 07 (2024) 064.
  20. I. D. Dzyaloshinskii, E. M. Lifshitz, and L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. 37, 229 (1959) [Sov. Phys. JETP 10, 161 (1960)].
  21. I. D. Dzyaloshinskii, E. M. Lifshitz, and L. P. Pitaevskii, Usp. Fiz. Nauk 73, 381 (1961) [Sov. Phys. Usp. 4, 153 (1961)].
  22. Q.-D. Jiang and F. Wilczek, Phys. Rev. B 99, 125403 (2019).
  23. O. Kenneth and I. Klich, Phys. Rev. Lett. 97, 160401 (2006).
  24. M. Bordag, Eur. Phys. J. C 71, 1788 (2011).
  25. M. Bordag, Phys. Rev. A 96, 062504 (2017).
  26. G. L. Klimchitskaya and V. M. Mostepanenko, Gravitation Cosmol. 21, 1 (2015).
  27. O. G. Kharlanov and V. C. Zhukovsky, Phys. Rev. D 81, 025015 (2010).
  28. Y. Ema, M. Hazumi, H. Iizuka, K. Mukaida, and K. Nakayama, Phys. Rev. D 108, 016009 (2023).
  29. K. Fukushima, S. Imaki, and Z. Qiu, Phys. Rev. D 100, 045013 (2019).
  30. I. Brevik, Universe 7, 133 (2021).
  31. P. Creminelli, O. Janssen, B. Salehian, and L. Senatore, J. High Energy Phys. 08 (2024) 066.
  32. R. Medina and J. Stephany, arXiv:1703.02109.
  33. C. Itzykson and J. Zuber, Quantum Field Theory, Dover Books on Physics (Dover Publications, New York, 2012).
  34. Y. Li, K. A. Milton, X. Guo, G. Kennedy, and S. A. Fulling, Phys. Rev. D 99, 125004 (2019).
  35. A. Shayit, S. A. Fulling, T. E. Settlemyre, and J. Merritt, Int. J. Mod. Phys. A 37, 2241007 (2022).
  36. P. Brax and S. Fichet, Phys. Dark Universe 42, 101294 (2023).
  37. E. A. Calzetta and B.-L. B. Hu, Nonequilibrium Quantum Field Theory (Oxford University Press, New York, 2009).
  38. D. Glavan and T. Prokopec, A Pedestrian Introduction to Non-Equilibrium QFT (2017), https://webspace.science.uu.nl/~proko101/LecturenotesNonEquilQFT.pdf.

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Phys. Rev. D 112, 023507– Published 7 July, 2025
  • Received 9 April 2025
  • Accepted 20 June 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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