Mass operator of a scalar particle in a plane-wave electromagnetic field

Klimenko, Yu. I.; Klimenko, E. Yu.; Lysov, Andrey; Khudomyasov, A. I.

doi:10.1007/bf00897304

Cited by 2 publications

(2 citation statements)

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“…The vehicle for the calculation was the mass operator, which was considered for a constant crossed field, 135 circularly polarised field 136 and a combination of constant and elliptically polarised fields. 148,149 Via the mass operator, the mass correction to the probability for one photon emission, and the mass July 31, 2018 1:12 WSPC/INSTRUCTION FILE Hartin˙IJMPA˙strongfield˙colliders˙lasers˙version2 correction to the anomalous magnetic moment of the electron were found. 150 In important work on a Furry picture effective coupling constant, asymptotic expressions were obtained to calculate the corrected electron propagator to third order, which yielded an estimation of the lower bound for an IFQFT expansion parameter.…”

Section: Furry Picture Self Energiesmentioning

confidence: 93%

Strong field QED in lepton colliders and electron/laser interactions

Hartin

2018

Preprint

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Studies of strong field particle physics processes in electron/laser interactions and lepton collider interaction points are reviewed. These processes are defined by the high intensity of the electromagnetic fields involved and the need to take them into account as fully as possible. Thus, the main theoretical framework considered is the Furry interaction picture within intense field quantum field theory. In this framework, the influence of a background electromagnetic field in the Lagrangian is calculated non perturbatively, involving exact solutions for quantised charged particles in the background field. These "dressed" particles go on to interact perturbatively with other particles, enabling the background field to play both a macroscopic and microscopic role. Macroscopically, the background field starts to polarise the vacuum, in effect rendering it a dispersive medium. Particles encountering this dispersive vacuum obtain a lifetime, either radiating or decaying into pair particles at a rate dependent on the intensity of the background field. In fact, the intensity of the background field enters into the coupling constant of the strong field quantum electrodynamic Lagrangian, influencing all particle processes. A number of new phenomena occur. Particles gain an intensity dependent rest mass shift that accounts for their presence in the dispersive vacuum. Multi photon events involving more than one external field photon occur at each vertex. Higher order processes which exchange a virtual strong field particle, resonate via the lifetimes of the unstable strong field states. Two main arenas of strong field physics are reviewed; those occurring in relativistic electron interactions with intense laser beams, and those occurring in the beam beam physics at the interaction point of colliders. This review outlines the theory, describes its significant novel phenomenology and details the experimental schema required to detect strong field effects and the simulation programs required to model them.

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Section: Furry Picture Self Energiesmentioning

confidence: 93%

Strong field QED in lepton colliders and electron/laser interactions

Hartin

2018

Preprint

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“…An external field consisting of a constant crossed electromagnetic field and an elliptically polarised electromagnetic plane wave was considered in a calculation of the mass operator for both an unpolarised [Kea90a] and a polarised [Kea90b] electron. The analytic form of this mass operator reduced to that of previous work by allowing each of the electromagnetic waves making up the external field to go to zero in turn.…”

Section: Second Order External Field Qed Processesmentioning

confidence: 99%

Second Order QED Processes in an Intense Electromagnetic Field

Hartin¹

2017

Preprint

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Some non linear, second order QED processes in the presence of intense plane electromagnetic waves are investigated. Analytic expressions with general kinematics are derived for Compton scattering and e + e − pair production in a circularly polarised external electromagnetic field. Special kinematics, including collinear photons and vanishing external field intensity, are employed to show that the general expressions reduce to expressions obtained in previous work. The differential cross sections were investigated numerically for photon energies up to 50 MeV, external field intensity parameter ν 2 to value 2, and all scattering angles. The variation of full cross sections with respect to external field intensity was also established. The presence of the external field led to resonances in the Compton scattering and pair production differential cross sections. These resonances were investigated by calculating the electron self energy in the presence of the external field. Numerical analysis of the external field electron self energy showed agreement with previous work in appropriate limits. However the more general expressions were utilised to calculate resonance widths. At resonance the differential cross sections were enhanced by several orders of magnitude. The resonances occurred for values of external field intensity parameter ν 2 < 1, lowering the limit of ν 2 ∼ 1 at which point non linear effects in first order external field QED processes become important. Generally, full cross sections increased with increasing external field intensity, though peaking sharply for Compton scattering and levelling off for pair production.An application was made to non linear background studies at e + e − linear colliders. The pair production process and electron self energy were studied for the case of a constant crossed electromagnetic field. It was found that previous analytic expressions required the external field to be azimuthally symmetric. New analytic expressions for the more general non azimuthally symmetric case were developed and a numerical parameter range equivalent to that proposed for future linear collider designs was considered. The resonant pair production cross section exceeded the non resonant one by 5 to 6 orders of magnitude. Extra background pair particles are expected at future linear collider bunch collisions, raising previous estimations.The Physics Department at Monash University provided me with many years of employment and the inspiration to pursue a career in physics. Drs Harry S Perlman and Gordon Troup provided much encouragement to pursue work in the field of QED and were coauthors on more than one occasion.Harry's cigar smoke always provided notice of his presence in the department. Thanks also to Dr.Peter Derlet who was a group member worthy of emulation and whose latex outlines I made use of.My thanks to John Dawkins, former Australian Minister for Higher Education in the Australian Labour government. His attacks on the Higher Education sector in 1987 and 1988 introduced me to political a...

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Mass operator of a scalar particle in a plane-wave electromagnetic field

Cited by 2 publications

References 1 publication

Strong field QED in lepton colliders and electron/laser interactions

Strong field QED in lepton colliders and electron/laser interactions

Second Order QED Processes in an Intense Electromagnetic Field

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