Abstract
The power and probability of electron radiation in a constant background tensor field violating Lorentz invariance are calculated. The angular distribution and polarization of radiation are examined. Current experimental constraints on the strength of the background field are used to demonstrate that the radiation effect may manifest itself under astrophysical conditions at ultrahigh electron energies.
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Notes
The system of units with \(\hbar=c=1\), \(\alpha=e^{2}/4\pi\simeq 1/137\) and the pseudo-Euclidean metric with signature \($$(+\,-\,-\,-)\) are used; \(\hat{a}=\gamma^{\mu}a_{\mu}\) is the convolution of Dirac matrices \(\gamma^{\mu}\) with four-vector \(a^{\mu}=(a^{0},{\mathbf{a}})\); \(\gamma^{5}=i\gamma^{0}\gamma^{1}\gamma^{2}\gamma^{3}\), \({\sigma^{\mu\nu}}=i[{\gamma^{\mu}},{\gamma^{\nu}}]/2\).
In the Heaviside system of units used here, \(\sqrt{\alpha}=e/\sqrt{4\pi}=e_{\textrm{G}}\), which is the charge in the Gaussian system.
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ACKNOWLEDGMENTS
The authors wish to thank A.E. Lobanov for fruitful discussions.
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Translated by D. Safin
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Borisov, A.V., Kiril’tseva, T.G. Electron Radiation in Lorentz-Violating Vacuum. Moscow Univ. Phys. 75, 10–17 (2020). https://doi.org/10.3103/S0027134920010051
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DOI: https://doi.org/10.3103/S0027134920010051