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The mass shift and the anomalous magnetic moment of the electron in an intense plane wave field

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Pătuleanu,  Tudor
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Pătuleanu, T. (2021). The mass shift and the anomalous magnetic moment of the electron in an intense plane wave field. Master Thesis, Ruprecht-Karls-Universität, Heidelberg.


Cite as: http://hdl.handle.net/21.11116/0000-0009-4190-A
Abstract
The value of the anomalous magnetic moment of the electron is the most accurately verified prediction of Quantum Electrodynamics (QED). Upcoming QED experiments on the interaction of electrons with intense laser fields open up the way of checking whether this high degree of agreement for the value of the electron anomalous magnetic moment persists in intense background fields. The possibility of experimentally verifying the expression for the anomalous magnetic moment of the electron in intense laser fields calls for computing radiative corrections beyond the leading-order result, that already includes the background field exactly. While in vacuum QED the anomalous magnetic moment is extracted from the vertex diagram for which the external photon provides the magnetic field interacting with the electron, in the strong field case the mass operator is used, where the magnetic field of the plane wave is exploited instead. Hence, in the thesis, the renormalized momentum space mass operator for an off-shell electron in the presence of an arbitrary plane-wave background is computed in light-cone coordinates, which have the advantage of making transparent the conserved quantities. Sandwiching between on-shell electron states, a new representation, more compact than the one known from the literature [VS75], is obtained. Solving the Schwinger-Dyson equation for the electron, in which the determined mass operator is inserted, the electron mass shift in an arbitrary plane wave is obtained. The expression for the electron mass shift generalizes the already known expressions from the literature [VS71; Rit70] for the constant crossed field case. The spin-dependent part of the electron mass shift is related to the anomalous magnetic moment of the electron in the plane wave. In the locally constant field approximation, the anomalous magnetic moment of the electron is extracted and reduces to Schwinger’s famous result when the background is removed. However, due to the non-local dependence of the electron mass shift on the field, it is not generally possible to define a local expression of the electron anomalous magnetic moment in an arbitrary plane