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Influence of the Schwinger effect on radiatively corrected Higgs inflationary magnetogenesis

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Abstract

We study the generation of magnetic fields in the Higgs inflation model with the axial coupling in order to break the conformal invariance of the Maxwell action and produce strong magnetic fields. We consider radiatively corrected Higgs inflation potential of our previous work in (Kamarpour, M.: Magnetogenesis in Higgs inflation model. General Relat. Gravit. (2021). https://doi.org/10.1007/s10714-021-02824-0). In comparison to the Starobinsky potential, we obtain an extra term as a one loop correction and determine the spectrum of generalized electromagnetic fields. For two values of coupling parameter \(\chi _{1}=5\times 10^{9}\) and \(\chi _{1}=7.5\times 10^{9}\), the back-reaction is weak and our analysis is valid. When we switch on the Schwinger effect,there is no difference in background inflaton field. Therefore, for range of parameters considered and analyzed in this model, the Schwinger effect in Radiatively corrected Higgs model is quite negligible and play no roles in magnetogenesis.

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Acknowledgements

The author is thankful to S. Vilchinskii, E.V. Gorbar, and O. Sobol for critical comments and useful discussions during the preparation of manuscript. The author is also thankful to O.Sobol for his assistance in plotting figures.

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  1. Physics Faculty, Taras Shevchenko National University of Kyiv, 64/13, Volodymyrska str., 01601, Kyiv, Ukraine

    Mehran Kamarpour

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Kamarpour, M. Influence of the Schwinger effect on radiatively corrected Higgs inflationary magnetogenesis. Gen Relativ Gravit 54, 32 (2022). https://doi.org/10.1007/s10714-022-02920-9

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