Resummation of QED radiative corrections in a strong constant crossed field

Abstract

By considering radiative corrections of up to 3rd-loop order, Ritus and Narozhny conjectured that the proper expansion parameter for QED in a strong constant crossed field is $g=\alpha {\chi }^{2/3}$, where the dynamical quantum parameter $\chi =e\sqrt{-(Fp{)}^2}/m^3$ combines the particle momentum $p$ with the external field strength tensor $F$. Here we present and discuss the first non-perturbative result in this context, the resummed bubble-type polarization corrections to the electron self-energy in a constant crossed field. Our analysis confirms the relevance of the scaling parameter $g$ to the enhancement of bubble-type radiative corrections. This parameter actually represents the characteristic value of the ratio of the 1-loop polarization bubble to the photon virtuality. After an all-order resummation we identify and discuss two contributions to the self-energy with different formation regions and asymptotic behavior for $g\gg 1$. Whereas the breakdown of perturbation theory occurs already for $g\gtrsim 1$, the leading-order result remains dominant until the asymptotic regime $g\gg 1$ is reached. However, the latter is specific to processes like elastic scattering or photon emission and does not have to remain true for general higher-order QED processes.

arXiv comment18 pages, 8 figures, 2 tables. A deep revision was made: Sections III A and Section V are completely rewritten [in particular, by including the new Eqs. (28), (56), (57) and Table II]; Figure 3 is modified; the Appendix is extended with new Eqs. (A.1), (A.10), (A.11) and Figure 8; new references are added, a lot of other small improvements are implemented

References in corpus (22)

• Dimensional Reduction and Dynamical Chiral Symmetry Breaking by a Magnetic Field in $3+1$ Dimensions
• Implementing nonlinear Compton scattering beyond the local constant field approximation
• On the Prospect of Studying Nonperturbative QED with Beam-Beam Collisions
• Experimental Evidence of Quantum Radiation Reaction in Aligned Crystals
• Testing numerical implementations of strong field electrodynamics
• Electrodynamics of pulsar magnetospheres
• Note on the conjectured breakdown of QED perturbation theory in strong fields
• High-energy behavior of strong-field QED in an intense plane wave
• Conjecture of perturbative QED breakdown at $\alpha {\chi }^{2/3}\gtrsim 1$
• Benchmarking semiclassical approaches to strong-field QED: nonlinear Compton scattering in intense laser pulses
• Dynamical Chiral Symmetry Breaking in QED in a Magnetic Field: Toward Exact Results
• Polarization operator approach to pair creation in short laser pulses
• Quantum electron self-interaction in a strong laser field
• Reaching supercritical field strengths with intense lasers
• The photon polarization tensor in a homogeneous magnetic or electric field
• Probing non-perturbative QED with electron-laser collisions
• Electron Self-Energy in Strong Magnetic Field: Summation of Double Logarithmic Terms
• From the stable to the exotic: clustering in light nuclei
• Testing strong-field QED close to the fully non-perturbative regime using aligned crystals
• Probing QED Vacuum with Heavy Ions
• One-loop vertex correction in a plane wave
• Nonlinear trident in the high-energy limit: Nonlocality, Coulomb field and resummations

Cited by in corpus (44)

• Advances in QED with intense background fields
• Charged particle motion and radiation in strong electromagnetic fields
• Conceptual Design Report for the LUXE Experiment
• Spin and polarisation dependent LCFA rates for nonlinear Compton and Breit-Wheeler processes
• Loops and polarization in strong-field QED
• Resummation of quantum radiation reaction in plane waves
• Loop spin effects in intense background fields
• Higher fidelity simulations of nonlinear Breit-Wheeler pair creation in intense laser pulses
• Efficient High-Energy Photon Production in the Supercritical QED Regime
• Classical resummation and breakdown of strong-field QED
• Pulse envelope effect on nonlinear Compton scattering in electron-laser collisions
• One-loop vertex correction in a plane wave
• On the Higher Loop Euler-Heisenberg Trans-Series Structure
• Nonlinear trident in the high-energy limit: Nonlocality, Coulomb field and resummations
• First-order strong-field QED processes including the damping of particles states
• Helicity transfer in strong laser fields via the electron anomalous magnetic moment
• Resummation of background-collinear corrections in strong field QED
• Non-linear Breit-Wheeler pair production in collisions of bremsstrahlung $\gamma -$quanta and a tightly focussed laser pulse
• Reduction of order, resummation and radiation reaction
• Resummation of quantum radiation reaction and induced polarization
• Exact solutions in radiation reaction and the radiation-free direction
• Resonant photoproduction of ultrarelativistic electron-positron pairs on a nucleus in strong monochromatic light field
• Nonlinear photon trident versus double Compton scattering and resummation of one-step terms
• Probing strong-field QED in beam-plasma collisions
• The electron mass shift in an intense plane wave
• Master formulas for photon amplitudes in a combined constant and plane-wave background field
• Large $N$ external-field quantum electrodynamics
• Pair creation, backreaction, and resummation in strong fields
• Strong-field Breit-Wheeler pair production in ${\mathrm{QED}}_{2+1}$
• Resurgence of the Effective Action in Inhomogeneous Fields
• Quasiclassical representation of the Volkov propagator and the tadpole diagram in a plane wave
• High-intensity scaling in UV-modified QED
• MP3 White Paper 2021 -- Research Opportunities Enabled by Co-locating Multi-Petawatt Lasers with Dense Ultra-Relativistic Electron Beams
• Reduction of Order and Transseries Structure of Radiation Reaction
• Impact of background field localization on vacuum polarization effects
• The generation of narrow ultrarelativistic beams of positrons (electrons) in the process of resonant photogeneration of pairs on nuclei in a strong electromagnetic field
• Signatures for strong-field QED in the quantum limit of beamstrahlung
• The simplest description of charge propagation in a strong background
• Particle-beam scattering from strong-field QED
• On the status of channeling radiation and laser based radiation sources
• Structure of radiative corrections in a strong constant crossed field in the bubble-chain approximation
• Short-term evolution of electron wave packet in a constant crossed field with radiative corrections
• QED Effects at Grazing Incidence on Solid-State-Targets
• N-photon amplitudes in a plane-wave background