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  • Open Access

Theory uncertainties in predictions of strong-field QED

T. G. Blackburn*

  • *Contact author: tom.blackburn@physics.gu.se

Phys. Rev. Research 8, 023346 – Published 26 June, 2026

DOI: https://doi.org/10.1103/mtfw-zmpt

Abstract

Experiments using high-power lasers and relativistic electron beams will soon be capable of precision testing of the theory of strong-field quantum electrodynamics. The comparison between experiment and theory always occurs via numerical simulations, but the lack of quantitative uncertainty bounds for the latter means that the origin of any discrepancies cannot be identified conclusively. Here, I present a simulation framework that can place meaningful bounds on the theory uncertainties inherent to its operation. This work shows that the use of the locally constant field approximation leads to a theory uncertainty of a few percent in the signals of quantum radiation reaction expected in near-term experiments.

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References (40)

  1. J. M. Cole, K. T. Behm, E. Gerstmayr, T. G. Blackburn, J. C. Wood, C. D. Baird, M. J. Duff, C. Harvey, A. Ilderton, A. S. Joglekar, et al., Experimental evidence of radiation reaction in the collision of a high-intensity laser pulse with a laser-wakefield accelerated electron beam, Phys. Rev. X 8, 011020 (2018).
  2. K. Poder, M. Tamburini, G. Sarri, A. Di Piazza, S. Kuschel, C. D. Baird, K. Behm, S. Bohlen, J. M. Cole, D. J. Corvan, et al., Experimental signatures of the quantum nature of radiation reaction in the field of an ultraintense laser, Phys. Rev. X 8, 031004 (2018).
  3. M. Mirzaie, C. I. Hojbota, D. Y. Kim, V. B. Pathak, T. G. Pak, C. M. Kim, H. W. Lee, J. W. Yoon, S. K. Lee, Y. J. Rhee, M. Vranic, Ó. Amaro, K. Y. Kim, J. H. Sung, and C. H. Nam, All-optical nonlinear Compton scattering performed with a multi-petawatt laser, Nat. Photon. 18, 1212 (2024).
  4. E. E. Los, E. Gerstmayr, C. Arran, M. J. V. Streeter, C. Colgan, C. C. Cobo, B. Kettle, T. G. Blackburn, N. Bourgeois, L. Calvin, et al., Observation of quantum effects on radiation reaction in strong fields, Nat. Commun. 17, 1157 (2026).
  5. A. Di Piazza, C. Müller, K. Z. Hatsagortsyan, and C. H. Keitel, Extremely high-intensity laser interactions with fundamental quantum systems, Rev. Mod. Phys. 84, 1177 (2012).
  6. A. Fedotov, A. Ilderton, F. Karbstein, B. King, D. Seipt, H. Taya, and G. Torgrimsson, Advances in QED with intense background fields, Phys. Rep. 1010, 1 (2023).
  7. A. R. Bell and J. G. Kirk, Possibility of prolific pair production with high-power lasers, Phys. Rev. Lett. 101, 200403 (2008).
  8. A. Gonoskov, T. G. Blackburn, M. Marklund, and S. S. Bulanov, Charged particle motion and radiation in strong electromagnetic fields, Rev. Mod. Phys. 94, 045001 (2022).
  9. A. K. Harding and D. Lai, Physics of strongly magnetized neutron stars, Rep. Prog. Phys. 69, 2631 (2006).
  10. A. Philippov, A. Timokhin, and A. Spitkovsky, Origin of pulsar radio emission, Phys. Rev. Lett. 124, 245101 (2020).
  11. G. Sarri, B. King, T. Blackburn, A. Ilderton, S. Boogert, S. S. Bulanov, S. V. Bulanov, A. D. Piazza, L. Ji, F. Karbstein, et al., Input to the European strategy for particle physics: Strong-field quantum electrodynamics, Eur. Phys. J. Plus 140, 1151 (2025).
  12. C. P. Ridgers, J. G. Kirk, R. Duclous, T. G. Blackburn, C. S. Brady, K. Bennett, T. D. Arber, and A. R. Bell, Modelling gamma-ray photon emission and pair production in high-intensity laser–matter interactions, J. Comput. Phys. 260, 273 (2014).
  13. A. Gonoskov, S. Bastrakov, E. Efimenko, A. Ilderton, M. Marklund, I. Meyerov, A. Muraviev, A. Sergeev, I. Surmin, and E. Wallin, Extended particle-in-cell schemes for physics in ultrastrong laser fields: Review and developments, Phys. Rev. E 92, 023305 (2015).
  14. A. Di Piazza, K. Z. Hatsagortsyan, and C. H. Keitel, Quantum radiation reaction effects in multiphoton Compton scattering, Phys. Rev. Lett. 105, 220403 (2010).
  15. N. Neitz and A. Di Piazza, Stochasticity effects in quantum radiation reaction, Phys. Rev. Lett. 111, 054802 (2013).
  16. T. G. Blackburn, C. P. Ridgers, J. G. Kirk, and A. R. Bell, Quantum radiation reaction in laser-electron-beam collisions, Phys. Rev. Lett. 112, 015001 (2014).
  17. M. Vranic, T. Grismayer, R. A. Fonseca, and L. O. Silva, Quantum radiation reaction in head-on laser-electron beam interaction, New J. Phys. 18, 073035 (2016).
  18. V. I. Ritus, Quantum effects of the interaction of elementary particles with an intense electromagnetic field, J. Sov. Laser Res. 6, 497 (1985).
  19. A. Ilderton, B. King, and D. Seipt, Extended locally constant field approximation for nonlinear Compton scattering, Phys. Rev. A 99, 042121 (2019).
  20. T. G. Blackburn, D. Seipt, S. S. Bulanov, and M. Marklund, Radiation beaming in the quantum regime, Phys. Rev. A 101, 012505 (2020).
  21. T. G. Blackburn, B. King, and S. Tang, Simulations of laser-driven strong-field QED with Ptarmigan: Resolving wavelength-scale interference and γ-ray polarization, Phys. Plasmas 30, 093903 (2023).
  22. C. N. Harvey, A. Ilderton, and B. King, Testing numerical implementations of strong-field electrodynamics, Phys. Rev. A 91, 013822 (2015).
  23. T. G. Blackburn, D. Seipt, S. S. Bulanov, and M. Marklund, Benchmarking semiclassical approaches to strong-field QED: Nonlinear Compton scattering in intense laser pulses, Phys. Plasmas 25, 083108 (2018).
  24. A. Di Piazza, M. Tamburini, S. Meuren, and C. H. Keitel, Implementing nonlinear Compton scattering beyond the local-constant-field approximation, Phys. Rev. A 98, 012134 (2018).
  25. G. M. Samarin, M. Zepf, and G. Sarri, Radiation reaction studies in an all-optical set-up: Experimental limitations, J. Mod. Opt. 65, 1362 (2018).
  26. H. Abramowicz, U. H. Acosta, M. Altarelli, R. Assmann, Z. Bai, T. Behnke, Y. Benhammou, T. Blackburn, S. Boogert, O. Borysov, et al., Conceptual design report for the LUXE experiment, Eur. Phys. J. Spec. Top. 230, 2445 (2021).
  27. Ó. Amaro and M. Vranic, Optimal laser focusing for positron production in laser–electron scattering, New J. Phys. 23, 115001 (2021).
  28. B. King, Uniform locally constant field approximation for photon-seeded pair production, Phys. Rev. A 101, 042508 (2020).
  29. T. G. Blackburn, A. Ilderton, C. D. Murphy, and M. Marklund, Scaling laws for positron production in laser–electron-beam collisions, Phys. Rev. A 96, 022128 (2017).
  30. M. Lobet, X. Davoine, E. d'Humières, and L. Gremillet, Generation of high-energy electron-positron pairs in the collision of a laser-accelerated electron beam with a multipetawatt laser, Phys. Rev. Accel. Beams 20, 043401 (2017).
  31. M. Pouyez, A. A. Mironov, T. Grismayer, A. Mercuri-Baron, F. Perez, M. Vranic, C. Riconda, and M. Grech, Multiplicity of electron- and photon-seeded electromagnetic showers at multipetawatt laser facilities, Phys. Rev. E 110, 065208 (2024).
  32. E. G. Gelfer, A. A. Mironov, A. M. Fedotov, V. F. Bashmakov, E. N. Nerush, I. Y. Kostyukov, and N. B. Narozhny, Optimized multibeam configuration for observation of QED cascades, Phys. Rev. A 92, 022113 (2015).
  33. T. Grismayer, M. Vranic, J. L. Martins, R. A. Fonseca, and L. O. Silva, Seeded QED cascades in counterpropagating laser pulses, Phys. Rev. E 95, 023210 (2017).
  34. A. Gonoskov, A. Bashinov, S. Bastrakov, E. Efimenko, A. Ilderton, A. Kim, M. Marklund, I. Meyerov, A. Muraviev, and A. Sergeev, Ultrabright GeV photon source via controlled electromagnetic cascades in laser-dipole waves, Phys. Rev. X 7, 041003 (2017).
  35. A. Mercuri-Baron, A. A. Mironov, C. Riconda, A. Grassi, and M. Grech, Growth rate of self-sustained QED cascades induced by intense lasers, Phys. Rev. X 15, 011062 (2025).
  36. A. Ilderton, Trident pair production in strong laser pulses, Phys. Rev. Lett. 106, 020404 (2011).
  37. B. King and H. Ruhl, Trident pair production in a constant crossed field, Phys. Rev. D 88, 013005 (2013).
  38. V. Dinu and G. Torgrimsson, Trident pair production in plane waves: Coherence, exchange, and spacetime inhomogeneity, Phys. Rev. D 97, 036021 (2018).
  39. F. Mackenroth and A. Di Piazza, Nonlinear trident pair production in an arbitrary plane wave: A focus on the properties of the transition amplitude, Phys. Rev. D 98, 116002 (2018).
  40. T. G. Blackburn, Data for “theory uncertainties in predictions of strong-field QED”, Zenodo, 2026, https://doi.org/10.5281/zenodo.20665097.

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