# Radiation Backreaction in Axion Electrodynamics

## Abstract

**:**

## 1. Homage to Professor Zhengdao Li

## 2. Aims

## 3. Canonical Equations of Axion Electrodynamics and the Conservation of the Energy

## 4. Energy Transfer from Axions in External Magnetic Field

## 5. Axion Oscillation in Presence of a Magnetic Field

## 6. Momentum Conservation with Axions

## 7. Summary

## Funding

## Acknowledgments

## Conflicts of Interest

## References

- Sikivie, P. Invisible axion search methods. Rev. Mod. Phys.
**2021**, 93, 015004. [Google Scholar] [CrossRef] - Peccei, R.D.; Quinn, H.R. CP Conservation in the Presence of Pseudoparticles. Phys. Rev. Lett.
**1977**, 38, 1440. [Google Scholar] [CrossRef] [Green Version] - Maiani, L.; Petronzio, R.; Zavattini, E. Effects of Nearly Massless, Spin Zero Particles on Light Propagation in a Magnetic Field. Phys. Lett.
**1986**, 175B, 359. [Google Scholar] [CrossRef] [Green Version] - Raffelt, G.; Stodolsky, L. Mixing of the photon with low-mass particles. Phys. Rev. D
**1988**, 37, 1237. [Google Scholar] [CrossRef] [PubMed] [Green Version] - Arza, A. Photon enhancement in a homogeneous axion dark matter background. Eur. Phys. J. C
**2019**, 79, 250. [Google Scholar] [CrossRef] - Capolupo, A.; De Martino, I.; Lambiase, G.; Stabile, A. Axion–photon mixing in quantum field theory and vacuum energy. Phys. Lett.
**2019**, 790B, 427. [Google Scholar] [CrossRef] - Mikheyev, N.V.; Raffelt, G.; Vassilevskaya, L.A. Axion emission by magnetic-field induced conversion of longitudinal plasmons. Phys. Rev. D
**1998**, 58, 055008. [Google Scholar] [CrossRef] [Green Version] - Mendonca, J.; Rodrigues, J.; Tercas, H. Axion production in unstable magnetized plasmas. Phys. Rev. D
**2020**, 101, 051701(R). [Google Scholar] [CrossRef] [Green Version] - Caputo, A.; Millar, A.J.; Vitagliano, A. Revisiting longitudinal plasmon-axion conversion in external magnetic fields. Phys. Rev. D
**2020**, 101, 123004. [Google Scholar] [CrossRef] - Millar, A.J.; Baum, S.; Lawson, M.; David Marsh, M.C. Axion-photon conversion in strongly magnetised plasmas. JCAP
**2021**, 2111, 013. [Google Scholar] [CrossRef] - Hoof, S.; Jaeckel, J.; Thormaehlen, L.J. Quantifying uncertainties in the solar axionflux and their impact on determining axion model parameters. JCAP
**2021**, 2109, 006. [Google Scholar] [CrossRef] - Zhuravlev, A.; Popov, S.; Pshirkov, M. Photon-axion mixing in thermal emission of isolated neutron stars. Phys. Lett. B
**2021**, 821, 136615. [Google Scholar] [CrossRef] - Millar, A.J.; Raffelt, G.G.; Redondo, J.; Steffen, F.D. Dielectric Haloscopes to Searchfor Axion Dark Matter: Theoretical Foundations. JCAP
**2017**, 1701, 061. [Google Scholar] [CrossRef] [Green Version] - Nikitin, A.G.; Kuriksha, O. Symmetries of field equations of axion electrodynamics. Phys. Rev. D
**2012**, 86, 025010. [Google Scholar] [CrossRef] [Green Version] - Rodriguez-Tzompantzi, O. Conserved laws and dynamical structure of axions coupled to photons. IJMP A
**2021**, 36, 2150259. [Google Scholar] [CrossRef] - Tobar, M.E.; McAllister, B.T.; Goryachev, M. Poynting vector controversy in axion modified electrodynamics. Phys. Rev. D
**2022**, 105, 045009. [Google Scholar] [CrossRef] - Brevik, I.; Chachian, M. Electric Current and Heat production by Neutral Carrier: An Effect of the Axion. Eur. Phys. J. C
**2022**, 82, 202. [Google Scholar] [CrossRef] - Jackson, J.D. Classical Electrodynamics; John Wiley & Sons: Hoboken, NJ, USA, 1998; Chapter 16.7. [Google Scholar]
- Brevik, I. Axion Electrodynamics and the Axionic Casimir Effect. Universe
**2021**, 7, 133. [Google Scholar] [CrossRef]

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**MDPI and ACS Style**

Patkós, A.
Radiation Backreaction in Axion Electrodynamics. *Symmetry* **2022**, *14*, 1113.
https://doi.org/10.3390/sym14061113

**AMA Style**

Patkós A.
Radiation Backreaction in Axion Electrodynamics. *Symmetry*. 2022; 14(6):1113.
https://doi.org/10.3390/sym14061113

**Chicago/Turabian Style**

Patkós, András.
2022. "Radiation Backreaction in Axion Electrodynamics" *Symmetry* 14, no. 6: 1113.
https://doi.org/10.3390/sym14061113