Relativistic electron in a quantised plane wave

Filipowicz, P.

doi:10.1088/0305-4470/18/10/022

Cited by 30 publications

(13 citation statements)

References 13 publications

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“…In conclusion, we can safely assume here that the background laser field can be treated as a given, classical background field (see also Refs. [66][67][68][69][70]).…”

Section: B Qed With Background Fieldsmentioning

confidence: 99%

Polarization operator for plane-wave background fields

2013

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We derive an alternative representation of the leading-order contribution to the polarization operator in strong-field quantum electrodynamics with a plane-wave electromagnetic background field, which is manifestly symmetric with respect to the external photon momenta. Our derivation is based on a direct evaluation of the corresponding Feynman diagram, using the Volkov representation of the dressed fermion propagator. Furthermore, the validity of the Ward-Takahashi identity is shown for general loop diagrams in an external plane-wave background field.

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“…In conclusion, we can safely assume here that the background laser field can be treated as a given, classical background field (see also Refs. [66][67][68][69][70]).…”

Section: B Qed With Background Fieldsmentioning

confidence: 99%

Polarization operator for plane-wave background fields

2013

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“…The proof proceeded by finding a new basis for the Volkov spinor which resulted in the Volkov phase when acted on by its hermitian conjugate. Filipowicz [23] achieved the same result by rewriting the standard Volkov spinor in terms of the derivative of the Volkov phase. Completeness of the Volkov solutions on equal time hyperplanes was proven by Boca and Florescu [24].…”

Section: Dirac Equation Solutions In Collinear Fieldsmentioning

confidence: 67%

Furry picture transition rates in the intense fields at a lepton collider interaction point

Hartin

2015

Physics Letters B

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The effect on particle physics processes by intense electromagnetic fields in the charge bunch collisions at future lepton colliders is considered. Since the charge bunch fields are tied to massive sources (the e + e − charges), a reference frame is chosen in which the fields appear to be co-propagating. Solutions of the Dirac equation minimally coupled to the electromagnetic fields reasonably associated with two intense overlapping charge bunches are obtained and found to be a Volkov solution with respect to a null 4-vector whose 3-vector part lies in the common propagation direction. These solutions are used within the Furry interaction picture to calculate the beamstrahlung transition rate for electron radiation due to interaction with the electromagnetic fields of two colliding charge bunches. New analytic expressions are obtained and compared numerically with the beamstrahlung in the electromagnetic field of one charge bunch. The techniques developed will be applied to other collider physics processes in due course.

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“…Volkov solutions are quantised via their properties of orthogonality and completeness [14,15]. The usual Smatrix theory then allows the matrix element M SCS f i of the second order stimulated Compton scattering (SCS) to be written down with the aid of the Feynman diagram ( figure 1b),…”

Section: Compton Scattering In Strong Background Fieldsmentioning

confidence: 99%

Enhanced, high energy photon production from resonant Compton scattering in a strong external field

Hartin

2017

Nuclear Instruments and Methods in Physics Research Section B:

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A theoretical and phenomenological consideration is given to higher order, strong field effects in electron/laser interactions. A consistent strong field theory is the Furry interaction picture of intense field quantum field theory. In this theory, fermions are embedded in the strong laser field and the Volkov wavefunction solutions that result, are exact with respect to the strong field. When these Volkov fermions interact with individual photons from other sources, the transition probability is enhanced in a series of resonances when the kinematics allow the virtual fermion to go on-shell. An experiment is proposed in which, for the first time, resonances could be used to generate high energy photons from relativistic electrons at rates orders of magnitude in excess of usual mechanisms.

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Relativistic electron in a quantised plane wave

Cited by 30 publications

References 13 publications

Polarization operator for plane-wave background fields

Polarization operator for plane-wave background fields

Furry picture transition rates in the intense fields at a lepton collider interaction point

Enhanced, high energy photon production from resonant Compton scattering in a strong external field

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