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Fierz relations for Volkov spinors and the simplification of Furry picture traces

Hartin, A; (2016) Fierz relations for Volkov spinors and the simplification of Furry picture traces. Physical Review D , 94 (7) , Article 073002. 10.1103/PhysRevD.94.073002. Green open access

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Abstract

Transition probability calculations of strong field particle processes in the Furry picture typically use fermion Volkov solutions. These solutions have a relatively complicated spinor due to the interaction of the electron spin with a strong external field, which in turn leads to unwieldy trace calculations. The simplification of these calculations would aid theoretical studies of strong field phenomena such as the predicted resonance behavior of higher order Furry picture processes. Here, Fierz transformations of Volkov spinors are developed and applied to a first-order and a second-order Furry picture process. Combined with symmetry properties, the techniques presented here are generally applicable and lead to considerable simplification of Furry picture analytic calculations.

Type: Article
Title: Fierz relations for Volkov spinors and the simplification of Furry picture traces
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevD.94.073002
Publisher version: https://doi.org/10.1103/PhysRevD.94.073002
Language: English
Additional information: © 2016 American Physical Society. This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Astronomy & Astrophysics, Physics, Particles & Fields, Physics, Plane Electromagnetic Wave, Effects In-Field, Quantum Processes, Radiative-Corrections, Feynman-Amplitudes, Compton-Scattering, Constant Field, Intense Field, Laser Field, Identitie
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Maths and Physical Sciences
URI: http://discovery.ucl.ac.uk/id/eprint/10041270
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