Trident pair production in plane waves: Coherence, exchange, and spacetime inhomogeneity

Dinu, Victor; Torgrimsson, Greger

doi:10.1103/physrevd.97.036021

Cited by 75 publications

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“…The exchange interference has hitherto not been calculated directly in a CCF (but see the recent locally constant field limit in Ref. [49]). …”

Section: Introduction and Definitionsmentioning

confidence: 99%

“…To the best of our knowledge, only the step-interference terms have been evaluated directly in a CCF (but the constant field limit of the plane-wave calculation has recently been taken in Ref. [49]), first by Baier, Katkov and Strakhovenko [5] and Ritus [6] by cutting the two-loop diagram in Fig. 3(a), as well as more recently in a direct calculation [37].…”

Section: Introduction and Definitionsmentioning

confidence: 99%

“…Until now, the reason given for explicitly neglecting this exchange interference is the appearance of a rapidly oscillating phase occurring at the level of the probability, which is absent in the probability of just a single diagram [37,48]. (We mention a recent analysis of the total trident process in a plane-wave background that appeared during preparation of this work, which discusses the locally constant field limit [49].) In the current paper, we calculate the effect on the total and differential rate of the one-step process due to this exchange interference in order to make a final conclusion about the occurrence of the one-step process in a CCF.…”

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confidence: 99%

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Effect of interference on the trident process in a constant crossed field

King

Fedotov

2018

Phys. Rev. D

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We perform a complete calculation of electron-seeded pair creation (the trident process) in a constant crossed electromagnetic background. Unlike earlier treatments, we include the interference between exchange diagrams. We find that this exchange interference can be written as a contribution solely to the one-step process, and for small quantum nonlinearity parameter is of the same order as other one-step terms. We find that the exchange interference further suppresses the one-step process in this parameter regime. Our findings further support the crucial assumption made in laser-plasma simulation codes that at high intensities, the trident process can be well approximated by the repeated iteration of the single-vertex subprocesses. The applicability of this assumption to higher-vertex processes has fundamental importance to the development of simulation capabilities. DOI: 10.1103/PhysRevD.98.016005 When an electron propagates in an intense electromagnetic (EM) field, there is a finite probability that the radiation it produces will decay into an electron-positron pair. If the EM field is weak, in that the effect is perturbative in the charge-field interaction, it corresponds to the linear Breit-Wheeler process [1], where one photon from the background collides with the photon radiated by the electron to produce a pair. Although important in astrophysical contexts [2,3], this linear process has still to be measured in a terrestrial experiment [4]. If the laser pulse intensity is strong, in that all orders of the charge-field interaction must be included in calculations, the photon decay into a pair corresponds to the nonlinear BreitWheeler process. A quarter of a century after electronseeded pair creation was first calculated theoretically in constant magnetic [5] and crossed [6] backgrounds, the combination of nonlinear Compton scattering followed by the nonlinear Breit-Wheeler process was measured in the landmark E144 experiment performed at the Stanford Linear Accelerator Center (SLAC) [7,8]. The importance of this experiment to the laser strong-field QED community can be understood in light of continued interpretation and analysis of the E144 results in the literature [9][10][11].In addition to also having astrophysical importance, a measurement of electron-seeded pair creation in a terrestrial laser-particle collision would allow the study of nonperturbative quantum field theory. As the intensity of the laser pulse increases, for a fixed frequency and seed particle energy, the process moves from the perturbative, to the multiphoton and finally to a tunneling regime [9], in which dependency on the charge-field coupling takes a nonperturbative form.To aid experimental design and analysis, there is an interest in including electron-seeded pair creation in traditional plasma particle-in-cell (PIC) code, using Monte Carlo techniques. Lowest-order processes such as nonlinear Compton scattering [12,13] and photon-seeded pair creation [14][15][16] are included in various simulation codes [17][18][19] and their ...

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“…The exchange interference has hitherto not been calculated directly in a CCF (but see the recent locally constant field limit in Ref. [49]). …”

Section: Introduction and Definitionsmentioning

confidence: 99%

Section: Introduction and Definitionsmentioning

confidence: 99%

mentioning

confidence: 99%

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Effect of interference on the trident process in a constant crossed field

King

Fedotov

2018

Phys. Rev. D

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“…However, for three-point amplitudes there is no free virtuality parameter v, so it was not recognised that the regularisation would introduce poles into higher point amplitudes. For four-point amplitudes, most authors perform the virtuality integral before considering gauge invariance [27,30,31,64], hence the existence of the additional poles, and the structure they reveal, was not previously noticed. (The closest to our approach is in [65], where similar expressions for the reduced amplitudes in trident appear, however the affect of the regularisation on the analytic structure of the amplitude was not recognised.…”

Section: A Trident Pair Productionmentioning

confidence: 99%

“…We saw above that M X and M ↓ pick up contributions at the same virtuality (as do M Y and M ↑ ); if we add these terms together, an integration by parts shows that our expressions for trident match those in [31], though in doing so we lose the hard-soft factorisation, and separation into different analytic structures. The results of [31] were checked to be equal to those in [30] calculated previously in a different gauge. Thus, our approach reproduces literature representations of the trident process.…”

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confidence: 96%

The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red

Ilderton

MacLeod

2020

J. High Energ. Phys.

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Gauge invariance and soft limits can be enough to determine the analytic structure of scattering amplitudes in certain theories. This prompts the question of how gauge invariance is connected to analytic structure in more general theories. Here we focus on QED in background plane waves. We show that imposing gauge invariance introduces new virtuality poles into internal momenta on which amplitudes factorise into a series of terms. Each term is gauge invariant, has a different analytic structure in external momenta, and exhibits a hard/soft factorisation. The introduced poles are dictated by infra-red behaviour, which allows us to extend our results to scalar Yukawa theory. The background is treated non-perturbatively throughout.in which D is the tensor structure of the photon propagator in some gauge, v is the

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Gluon Scattering on Self-Dual Radiative Gauge Fields

Adamo

Mason

Sharma

2022

Commun. Math. Phys.

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We present all-multiplicity formulae, derived from first principles in the MHV sector and motivated by twistor string theory for general helicities, for the tree-level S-matrix of gluon scattering on self-dual radiative backgrounds. These backgrounds are chiral, asymptotically flat gauge fields characterised by their free radiative data, and their underlying integrability is captured by twistor theory. Tree-level gluon scattering scattering amplitudes are expressed as integrals over the moduli space of holomorphic maps from the Riemann sphere to twistor space, with the degree of the map related to the helicity configuration of the external gluons. In the MHV sector, our formula is derived from the Yang–Mills action; for general helicities the formulae are obtained using a background-coupled twistor string theory and pass several consistency tests. Unlike amplitudes on a trivial vacuum, there are residual integrals due to the functional freedom in the self-dual background, but for scattering of momentum eigenstates we are able to do many of these explicitly and even more is possible in the special case of plane wave backgrounds. In general, the number of these integrals is always less than expected from standard perturbation theory, but matches the number associated with space-time MHV rules in a self-dual background field, which we develop for self-dual plane waves.

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Trident pair production in plane waves: Coherence, exchange, and spacetime inhomogeneity

Cited by 75 publications

References 50 publications

Effect of interference on the trident process in a constant crossed field

Effect of interference on the trident process in a constant crossed field

The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red

Gluon Scattering on Self-Dual Radiative Gauge Fields

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