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X. S. Geng, L. L. Ji, B. F. Shen, B. Feng, Z. Guo, Q. Q. Han, C. Y. Qin, N. W. Wang, W. Q. Wang and Y. T. Wu, et al
Original
1901
Earlier work this paper cites.
F. Karbstein, “All-Loop Result for the Strong Magnetic Field Limit of the Heisenberg-Euler Effective Lagrangian,” Phys. Rev. Lett. 122
Original
1903
Earlier work this paper cites.
O. Costin and G. V. Dunne, “Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I,” J. Phys. A 52
Original
1904
Earlier work this paper cites.
T. G. Blackburn, “Radiation reaction in electron-beam interactions with high-intensity lasers,” Plasma Phys. 4
Original
1910
Earlier work this paper cites.
A. Florio, “Schwinger pair production from Padé-Borel reconstruction,” Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
V. Dinu and G. Torgrimsson, “Approximating higher-order nonlinear QED processes with first-order building blocks,” Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
G. A. Baker, “Application of the Padé Approximant Method to the Investigation of Some Magnetic Properties of the Ising Model”, Phys. Rev. 124
1961
Earlier work this paper cites.
V. I. Ritus, “Vacuum polarization correction to elastic electron and muon scattering in an intense field and pair electro- and muoproduction,” Nucl. Phys. B 44
1972
Earlier work this paper cites.
J. C. Le Guillou and J. Zinn-Justin, “Critical exponents from field theory”, Phys. Rev. B 21
1980
Earlier work this paper cites.
I. K. Affleck, O. Alvarez and N. S. Manton, “Pair Production at Strong Coupling in Weak External Fields,” Nucl. Phys. B 197
1982
Earlier work this paper cites.
V. I. Ritus, “Effective Lagrange function of intense electromagnetic field in QED”, Conference proceedings: ‘Frontier Tests of QED and Physics of the Vacuum’ Sandanski, Bulgaria, 9-15 June, 1998, Heron Press, Sofia, 1998, [arXiv:hep-th/9812124 [hep-th]]
1998
Earlier work this paper cites.
C. M. Bender and S. A. Orszag, “Advanced Mathematical Methods for Scientists and Engineers, Asymptotic Methods and Perturbation Theory”, Springer-Verlag New York 1999
1999
Earlier work this paper cites.
H. Kleinert and V. Schulte-Frohlinde, “Critical Properties of ϕ 4 \phi^{4} -Theories”, World Scientific 2001
2001
Earlier work this paper cites.
J. Zinn-Justin, “Quantum Field Theory and Critical Phenomena”, Fourth Edition, Clarendon press, Oxford 2002
2002
Earlier work this paper cites.

Similar

O. Costin and G. V. Dunne, “Physical Resurgent Extrapolation,” Phys. Lett. B 808
Original
2003
Cited alongside, same era.
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2007
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E. Caliceti, M. Meyer-Hermann, P. Ribeca, A. Surzhykov and U. Jentschura, “From useful algorithms for slowly convergent series to physical predictions based on divergent perturbative expansions,” Phys. Rept. 446

Then

D. A. Burton and A. Noble, “Aspects of electromagnetic radiation reaction in strong fields,” Contemp. Phys. 55
Original
2014
Later among the works it cites.
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
Original
2014
Later among the works it cites.
S. R. Yoffe, Y. Kravets, A. Noble and D. A. Jaroszynski, “Longitudinal and transverse cooling of relativistic electron beams in intense laser pulses,” New J. Phys. 17
Original
2015
Later among the works it cites.
M. Vranic, T. Grismayer, R. A. Fonseca, and L. O. Silva, “Quantum radiation reaction in head-on laserelectron beam interaction”, New J. Phys. 18
2016
Later among the works it cites.
V. Dinu, C. Harvey, A. Ilderton, M. Marklund and G. Torgrimsson, “Quantum radiation reaction: from interference to incoherence,” Phys. Rev. Lett. 116

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2021

Resummation of quantum radiation reaction in plane waves

Torgrimsson, Greger

Understand

We propose a new approach to obtain the momentum expectation value of an electron in a high-intensity laser, including multiple photon emissions and loops.

We find a recursive formula that allows us to obtain the $\mathcal{O}(\alpha^n)$ term from $\mathcal{O}(\alpha^{n-1})$, which can also be expressed as an integro-differential equation.
In the classical limit we obtain the solution to the Landau-Lifshitz equation to all orders.
We show how spin-dependent quantum radiation reaction can be obtained by resumming both the energy expansion as well as the $\alpha$ expansion.

Built on

X. S. Geng, L. L. Ji, B. F. Shen, B. Feng, Z. Guo, Q. Q. Han, C. Y. Qin, N. W. Wang, W. Q. Wang and Y. T. Wu, et al
Original
1901
Earlier work this paper cites.
F. Karbstein, “All-Loop Result for the Strong Magnetic Field Limit of the Heisenberg-Euler Effective Lagrangian,” Phys. Rev. Lett. 122
Original
1903
Earlier work this paper cites.
O. Costin and G. V. Dunne, “Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I,” J. Phys. A 52
Original
1904
Earlier work this paper cites.
T. G. Blackburn, “Radiation reaction in electron-beam interactions with high-intensity lasers,” Plasma Phys. 4
Original
1910
Earlier work this paper cites.
A. Florio, “Schwinger pair production from Padé-Borel reconstruction,” Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
V. Dinu and G. Torgrimsson, “Approximating higher-order nonlinear QED processes with first-order building blocks,” Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
G. A. Baker, “Application of the Padé Approximant Method to the Investigation of Some Magnetic Properties of the Ising Model”, Phys. Rev. 124
1961
Earlier work this paper cites.
V. I. Ritus, “Vacuum polarization correction to elastic electron and muon scattering in an intense field and pair electro- and muoproduction,” Nucl. Phys. B 44
1972
Earlier work this paper cites.
J. C. Le Guillou and J. Zinn-Justin, “Critical exponents from field theory”, Phys. Rev. B 21
1980
Earlier work this paper cites.
I. K. Affleck, O. Alvarez and N. S. Manton, “Pair Production at Strong Coupling in Weak External Fields,” Nucl. Phys. B 197
1982
Earlier work this paper cites.
V. I. Ritus, “Effective Lagrange function of intense electromagnetic field in QED”, Conference proceedings: ‘Frontier Tests of QED and Physics of the Vacuum’ Sandanski, Bulgaria, 9-15 June, 1998, Heron Press, Sofia, 1998, [arXiv:hep-th/9812124 [hep-th]]
1998
Earlier work this paper cites.
C. M. Bender and S. A. Orszag, “Advanced Mathematical Methods for Scientists and Engineers, Asymptotic Methods and Perturbation Theory”, Springer-Verlag New York 1999
1999
Earlier work this paper cites.
H. Kleinert and V. Schulte-Frohlinde, “Critical Properties of ϕ 4 \phi^{4} -Theories”, World Scientific 2001
2001
Earlier work this paper cites.
J. Zinn-Justin, “Quantum Field Theory and Critical Phenomena”, Fourth Edition, Clarendon press, Oxford 2002
2002
Earlier work this paper cites.