Influence of the Schwinger effect on radiatively corrected Higgs inflationary magnetogenesis. (English) Zbl 1495.83057
Summary: 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 [ibid. 53, No. 5, Paper No. 53, 23 p. (2021; Zbl 1483.83087)]. 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.
MSC:
| 83E05 | Geometrodynamics and the holographic principle |
| 83C60 | Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism |
| 78A25 | Electromagnetic theory (general) |
| 81R40 | Symmetry breaking in quantum theory |
| 53C18 | Conformal structures on manifolds |
| 83C25 | Approximation procedures, weak fields in general relativity and gravitational theory |
Citations:
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