Resummation of quantum radiation reaction in plane waves

Abstract

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.

arXiv comment7 pages, 4 figures

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• Advances in QED with intense background fields
• Charged particle motion and radiation in strong electromagnetic fields
• Graviton particle statistics and coherent states from classical scattering amplitudes
• Higher fidelity simulations of nonlinear Breit-Wheeler pair creation in intense laser pulses
• Large Gauge Effects and the Structure of Amplitudes
• Resummation of quantum radiation reaction and induced polarization
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• Classical physics from amplitudes on curved backgrounds
• Smoothness of Classical Limit in KMOC Formalism
• Intrinsic Nonlocality of Spin- and Polarization-Resolved Probabilities in Strong-Field Quantum Electrodynamics
• Self-force on a charged particle in an external scalar field