- Open Access
- Access by Xinjiang University
Schwinger effect in axion inflation on a lattice
Phys. Rev. D 114, 063531 – Published 16 September, 2026
DOI: https://doi.org/10.1103/1m23-ll9t
Abstract
We present the first lattice simulations of the nonlinear evolution after axion inflation by self-consistently incorporating currents arising from Schwinger pair production. The tachyonically amplified gauge fields trigger the growth of Schwinger currents, leading to universal values for the conductivity and magnetic field at the onset of strong backreaction and subsequent quenching of gauge-field production. We show that the Schwinger effect (prematurely) saturates gauge-field production, thereby diminishing the prospects of high-scale axion inflation magnetogenesis as a viable solution for blazar observations.
Physics Subject Headings (PhySH)
Article Text
References (69)
- A. H. Guth, Phys. Rev. D 23, 347 (1981).
- A. D. Linde, Phys. Lett. 108B, 389 (1982).
- A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982).
- K. Freese, J. A. Frieman, and A. V. Olinto, Phys. Rev. Lett. 65, 3233 (1990).
- P. Svrcek and E. Witten, J. High Energy Phys. 06 (2006) 051.
- D. Baumann and L. McAllister, Annu. Rev. Nucl. Part. Sci. 59, 67 (2009).
- R. Blumenhagen and E. Plauschinn, Phys. Lett. B 736, 482 (2014).
- E. Palti, J. High Energy Phys. 10 (2015) 188.
- M. Czerny, T. Higaki, and F. Takahashi, J. High Energy Phys. 05 (2014) 144.
- T. Higaki and F. Takahashi, J. High Energy Phys. 07 (2014) 074.
- L. McAllister, E. Silverstein, and A. Westphal, Phys. Rev. D 82, 046003 (2010).
- M. M. Anber and L. Sorbo, Phys. Rev. D 81, 043534 (2010).
- N. Barnaby, R. Namba, and M. Peloso, J. Cosmol. Astropart. Phys. 04 (2011) 009.
- N. Barnaby and M. Peloso, Phys. Rev. Lett. 106, 181301 (2011).
- N. Barnaby, R. Namba, and M. Peloso, J. Cosmol. Astropart. Phys. 04 (2011) 009.
- L. Sorbo, J. Cosmol. Astropart. Phys. 06 (2011) 003.
- J. L. Cook and L. Sorbo, J. Cosmol. Astropart. Phys. 11 (2013) 047.
- V. Domcke, M. Pieroni, and P. Binétruy, J. Cosmol. Astropart. Phys. 06 (2016) 031.
- J. Garcia-Bellido, M. Peloso, and C. Unal, J. Cosmol. Astropart. Phys. 12 (2016) 031.
- M. Bastero-Gil and A. T. Manso, J. Cosmol. Astropart. Phys. 08 (2023) 001.
- J. Garcia-Bellido, A. Papageorgiou, M. Peloso, and L. Sorbo, J. Cosmol. Astropart. Phys. 01 (2024) 034.
- S. P. Corbà and L. Sorbo, J. Cosmol. Astropart. Phys. 10 (2024) 024.
- W. D. Garretson, G. B. Field, and S. M. Carroll, Phys. Rev. D 46, 5346 (1992).
- M. M. Anber and L. Sorbo, J. Cosmol. Astropart. Phys. 10 (2006) 018.
- T. Fujita, R. Namba, Y. Tada, N. Takeda, and H. Tashiro, J. Cosmol. Astropart. Phys. 05 (2015) 054.
- P. Adshead, J. T. Giblin, T. R. Scully, and E. I. Sfakianakis, J. Cosmol. Astropart. Phys. 10 (2016) 039.
- R. Durrer, O. Sobol, and S. Vilchinskii, Phys. Rev. D 108, 043540 (2023).
- P. Adshead, J. T. Giblin, T. R. Scully, and E. I. Sfakianakis, J. Cosmol. Astropart. Phys. 12 (2015) 034.
- J. R. C. Cuissa and D. G. Figueroa, J. Cosmol. Astropart. Phys. 06 (2019) 002.
- P. Adshead, J. T. Giblin, R. Grutkoski, and Z. J. Weiner, J. Cosmol. Astropart. Phys. 03 (2024) 017.
- P. Adshead, J. T. Giblin, M. Pieroni, and Z. J. Weiner, Phys. Rev. Lett. 124, 171301 (2020).
- P. Adshead, J. T. Giblin, M. Pieroni, and Z. J. Weiner, Phys. Rev. D 101, 083534 (2020).
- A. Caravano, E. Komatsu, K. D. Lozanov, and J. Weller, Phys. Rev. D 105, 123530 (2022).
- A. Caravano, E. Komatsu, K. D. Lozanov, and J. Weller, Phys. Rev. D 108, 043504 (2023).
- D. G. Figueroa, J. Lizarraga, A. Urio, and J. Urrestilla, Phys. Rev. Lett. 131, 151003 (2023).
- A. Caravano and M. Peloso, J. Cosmol. Astropart. Phys. 01 (2025) 104.
- R. Sharma, A. Brandenburg, K. Subramanian, and A. Vikman, J. Cosmol. Astropart. Phys. 05 (2025) 079.
- D. G. Figueroa, J. Lizarraga, N. Loayza, A. Urio, and J. Urrestilla, Phys. Rev. D 111, 063545 (2025).
- F. Sauter, Z. Phys. 69, 742 (1931).
- W. Heisenberg and H. Euler, Z. Phys. 98, 714 (1936).
- J. S. Schwinger, Phys. Rev. 82, 664 (1951).
- Y. Kluger, J. M. Eisenberg, B. Svetitsky, F. Cooper, and E. Mottola, Phys. Rev. D 45, 4659 (1992).
- V. Domcke and K. Mukaida, J. Cosmol. Astropart. Phys. 11 (2018) 020.
- O. O. Sobol, E. V. Gorbar, and S. I. Vilchinskii, Phys. Rev. D 100, 063523 (2019).
- V. Domcke, Y. Ema, and K. Mukaida, J. High Energy Phys. 02 (2020) 055.
- E. V. Gorbar, K. Schmitz, O. O. Sobol, and S. I. Vilchinskii, Phys. Rev. D 104, 123504 (2021).
- T. Fujita, J. Kume, K. Mukaida, and Y. Tada, J. Cosmol. Astropart. Phys. 09 (2022) 023.
- E. V. Gorbar, A. I. Momot, O. O. Prikhodko, and O. M. Teslyk, Phys. Rev. D 109, 023536 (2024).
- R. von Eckardstein, K. Schmitz, and O. Sobol, J. High Energy Phys. 02 (2025) 096.
In this context, high-scale inflation refers to models where the inflaton potential can be well approximated by a quadratic near the end of inflation with and, furthermore, a Hubble scale at the end of inflation which is similar to .
- E. Bavarsad, S. P. Kim, C. Stahl, and S.-S. Xue, Phys. Rev. D 97, 025017 (2018).
- A. Brandenburg et al. (Pencil Code Collaboration), J. Open Source Softwaare 6, 2807 (2021).
- T. Vachaspati, Phys. Rev. D 95, 063505 (2017).
- P. A. R. Ade et al. (Planck Collaboration), Astron. Astrophys. 594, A19 (2016).
- P. J. Kernan, G. D. Starkman, and T. Vachaspati, Phys. Rev. D 54, 7207 (1996).
- P. P. Kronberg, Rep. Prog. Phys. 57, 325 (1994).
- V. A. Acciari et al. (MAGIC Collaboration), Astron. Astrophys. 670, A145 (2023).
- M. Tolosa-Simeón, M. M. Scherer, and S. Floerchinger, Phys. Rev. B 110, 085421 (2024).
- G. V. Dunne, H. Gies, and R. Schützhold, Phys. Rev. D 80, 111301 (2009).
- The pencil code, 10.5281/zenodo.2315093.
- O. Iarygina, E. I. Sfakianakis, and A. Brandenburg, Datasets for Schwinger effect in axion inflation on a lattice, Zenodo, 2026, 10.5281/zenodo.21260479; see also http://norlx65.nordita.org/~brandenb/projects/Schwinger.
- S. R. Coleman, R. Jackiw, and L. Susskind, Ann. Phys. (N.Y.) 93, 267 (1975).
- G. V. Dunne, Heisenberg-Euler effective Lagrangians: Basics and extensions, in From Fields to Strings: Circumnavigating Theoretical Physics. Ian Kogan Memorial Collection (3 Volume Set), edited by M. Shifman, A. Vainshtein, and J. Wheater (2004), pp. 445–522, .
- A. Brandenburg and A. Banerjee, J. Plasma Phys. 91, E5 (2025).
- M. A. Berger and G. B. Field, J. Fluid Mech. 147, 133 (1984).
- M. A. Berger, Geophys. Astrophys. Fluid Dyn. 30, 79 (1984).
- A. Brandenburg and N. N. Protiti, Entropy 25, 1270 (2023).
- A. Brandenburg, K. Enqvist, and P. Olesen, Phys. Rev. D 54, 1291 (1996).
- T. Kahniashvili, A. Brandenburg, R. Durrer, A. G. Tevzadze, and W. Yin, J. Cosmol. Astropart. Phys. 12 (2017) 002.