Infrared divergences in plane wave backgrounds

Dinu, Victor; Heinzl, T.; Ilderton, Anton

doi:10.1103/physrevd.86.085037

Cited by 98 publications

(134 citation statements)

References 84 publications

(211 reference statements)

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“…In [19], this possibility was noticed, interpreted as a sign that multiphoton emission cannot then be neglected, and a re-normalization of the whole series of n-photon NLCS probabilities was suggested. Moreover, for a unipolar pulse, (7) shows the logarithmic IR divergence typical of Bremsstrahlung [13,20]. These problems can be dealt with by including a one loop self-energy diagram, that adds nothing to (9), but does contribute to the expectation value of the final electron's momentum, even in the whole-cycle case [21].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…This region grows with b 0 , once it gets close to unity. The influence of the polarization state and the convergence towards the adiabatic limit (13), as the pulse length increases, are shown in Fig. 5.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The formal expression (2) was obtained from formula C1 in [13], as follows. Instead of the expressions C3, we used the unregularized integrals B ν = Rf ν e −iΦ dφ,…”

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Exact final-state integrals for strong-field QED

Dinu

2013

Phys. Rev. A

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This paper introduces the exact, analytic integration of all final state variables for the process of nonlinear Compton scattering in an intense plane wave laser pulse, improving upon a previously slow and challenging numerical approach. Computationally simple and insightful formulae are derived for the total scattering probability and mean energy-momentum of the emitted radiation. The general form of the effective mass appears explicitely. We consider several limiting cases, and present a quantum correction to Larmor's formula. Numerical results are plotted and analysed in detail.a. Introduction: The recent and predicted progress in laser technology leading to very high peak intensities justify the need for a better understanding of so-called nonlinear QED, describing phenomena occurring in fields so strong that their effects cannot be treated perturbatively.Unfortunately, the complexity of the processes inside these ultra-intense laser beams has meant that several simplifications have had to be used to make practical computations feasible. The laser beam is usually supposed to be in a coherent state, which can be well approximated by a classical field. Due to the relatively small frequencies, unless massive particles of very high Lorentz factor are involved, quantum effects are small, so a fully classical description may often be justified. For instance, in discussing the scattering of an electron in a laser beam, one may consider Thompson scattering instead of its quantum counterpart, nonlinear Compton scattering (NLCS) [1]. The classical approximation allows for a realistic description of the laser field and the inclusion of radiation reaction (RR) [2], but is unable to describe important quantum effects, such as nonperturbative pair creation from vacuum [3], the trident process [4], or vacuum birefringence [5].A treatment of these processes in the framework of nonlinear QED, even in a semiclassical approach, has not yet been performed without further approximations, such as replacing the laser field by an idealized plane wave, thus allowing for analytical (Volkov) solutions to the Dirac equation. This disregards the strong spatial focusing of the beam needed to attain high intensities. In addition, for a long time, results were restricted to infinite, monochromatic plane waves, or even, giving up periodicity, to a crossed field model [6,7]. Only recently, the more realistic short pulse plane waves came into use [8][9][10].In [8,11,12], the photonic and electronic distributions resulting from NLCS were described in detail for some model pulses. In principle, by integrating these distributions, the total probability and expectation values, such as for the emitted radiation's energy-momentum, can be obtained. However, previous papers did never plot these quantities, because of the great numerical challenge posed by this task. By a change in integration order and a different regularization, allowing for all final state integrals to be performed analytically, we obtain formulae that are not only very easy to com...

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

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Exact final-state integrals for strong-field QED

Dinu

2013

Phys. Rev. A

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“…The transition matrix M f i (l), similarly to the case of the nonlinear Compton effect [17,[19][20][21], consists of four terms,…”

Section: A General Formalismmentioning

confidence: 99%

Breit-Wheeler process in very short electromagnetic pulses

et al. 2013

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The generalized Breit-Wheeler process, i.e. the emission of $e^+e^-$ pairs off a probe photon propagating through a polarized short-pulsed electromagnetic (e.g.\ laser) wave field, is analyzed. We show that the production probability is determined by the interplay of two dynamical effects. The first one is related to the shape and duration of the pulse and the second one is the non-linear dynamics of the interaction of $e^\pm$ with the strong electromagnetic field. The first effect manifests itself most clearly in the weak-field regime, where the small field intensity is compensated by the rapid variation of the electromagnetic field in a limited space-time region, which intensifies the few-photon events and can enhance the production probability by orders of magnitude compared to an infinitely long pulse. Therefore, short pulses may be considered as a powerful amplifier. The non-linear dynamics in the multi-photon Breit-Wheeler regime plays a decisive role at large field intensities, where effects of the pulse shape and duration are less important. In the transition regime, both effects must be taken into account simultaneously. We provide suitable expressions for the $e^+e^-$ production probability for kinematic regions which can be used in transport codes.Comment: 32 pages, 15 figure

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“…Some important aspects of generalized Compton scattering were discussed elsewhere, see, for instance [18,[31][32][33][34][35][36], and recent [37]. Below we use the notations and definitions of Ref.…”

Section: A the Cross Sectionmentioning

confidence: 99%

Determination of the carrier envelope phase for short, circularly polarized laser pulses

et al. 2016

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We analyze the impact of the carrier envelope phase on the differential cross sections of the BreitWheeler and the generalized Compton scattering in the interaction of a charged electron (positron) with an intensive ultra-short electromagnetic (laser) pulse. The differential cross sections as a function of the azimuthal angle of the outgoing electron have a clear bump structure, where the bump position coincides with the value of the carrier phase. This effect can be used for the carrier envelope phase determination.

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Infrared divergences in plane wave backgrounds

Cited by 98 publications

References 84 publications

Exact final-state integrals for strong-field QED

Exact final-state integrals for strong-field QED

Breit-Wheeler process in very short electromagnetic pulses

Determination of the carrier envelope phase for short, circularly polarized laser pulses

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