Quantum corrections to the Larmor radiation formula in scalar electrodynamics

Higuchi, Atsushi; Walker, P.J.

doi:10.1103/physrevd.80.105019

Cited by 20 publications

(56 citation statements)

References 16 publications

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“…Indeed, in Ref. [2], the authors obtained from sQED the lowest order contribution, it being in agreement with the Larmor formula. The authors considered two distinct cases of external electromagnetic fields that give rise to the same classical acceleration.…”

Section: Introductionsupporting

confidence: 65%

“…2). A further integration over d gives us the total energy emitted in the process: If we write E = E cl + E (1) + E (2) we can identify from Eq. (25) the lowest order term as…”

Section: Radiation In the Non-relativistic Limitmentioning

confidence: 99%

“…1a was obtained in Ref. [19] by one of the authors, and it equals 2 Note that momentum conservation constrains the momenta p + k = p in the first, and k + q + q = 0 in the second process.…”

Section: Transition Amplitude and Radiated Energymentioning

confidence: 99%

“…To obtain an asymptotic expansion of (10) we start by writing the Hankel functions H (1) ν , H (2) ν , in terms of modified Bessel functions K ν [20]:…”

Section: Asymptotic Expression In Weak Gravitational Fieldmentioning

confidence: 99%

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Quantum Larmor radiation in de Sitter spacetime

Blaga

Busuioc

2016

Eur. Phys. J. C

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We study the radiation emitted by inertial charge evolving on the expanding de Sitter spacetime. Performing a perturbative calculation, within scalar quantum electrodynamics (sQED), we obtain the transition amplitude for the process and using this we define the energy radiated by the source. In the non-relativistic limit we find that the leading term is compatible with the classical result (Larmor formula). The first quantum correction is found to be negative, a result which is in line with a number of similar quantum field theory results. For the ultra-relativistic case we find a logarithmic divergence of the emitted energy for large frequencies, which we link to the nature of the spacetime. We compare our results with that of Nomura et al. (JCAP 11:013, 2006), where the authors make a similar calculation for a general conformally flat spacetime.

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Section: Introductionsupporting

confidence: 65%

“…2). A further integration over d gives us the total energy emitted in the process: If we write E = E cl + E (1) + E (2) we can identify from Eq. (25) the lowest order term as…”

Section: Radiation In the Non-relativistic Limitmentioning

confidence: 99%

“…1a was obtained in Ref. [19] by one of the authors, and it equals 2 Note that momentum conservation constrains the momenta p + k = p in the first, and k + q + q = 0 in the second process.…”

Section: Transition Amplitude and Radiated Energymentioning

confidence: 99%

“…To obtain an asymptotic expansion of (10) we start by writing the Hankel functions H (1) ν , H (2) ν , in terms of modified Bessel functions K ν [20]:…”

Section: Asymptotic Expression In Weak Gravitational Fieldmentioning

confidence: 99%

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Quantum Larmor radiation in de Sitter spacetime

Blaga

Busuioc

2016

Eur. Phys. J. C

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“…A number of papers have shown that for backgrounds leading to accelerated classical trajectories the lowest order approximation of the quantum radiation reproduces the Larmor formula [1][2][3]. Most strikingly, an inertial charge in a dynamic spacetime, which can be thought of as a free charge in an external gravitation field, radiates like an accelerated charge in flat spacetime.…”

Section: Introductionmentioning

confidence: 99%

Quantum radiation from an inertial scalar charge evolving in the de Sitter universe: Weak-field limit

Blaga

2015

AIP Conference Proceedings

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Abstract. We investigate the energy radiated by an inertial scalar charge evolving in the expanding Poincaré patch of de Sitter spacetime, in the framework of scalar QED perturbation theory. We approximate the transition amplitude in the small expansion parameter limit and show that the leading contribution to the radiated energy has the form of the energy radiated by an accelerated particle in Minkowski space.

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Vector bremsstrahlung by ultrarelativistic collisions in higher dimensions

Constantinou

Spirin

2014

J. High Energ. Phys.

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A classical computation of vector bremsstrahlung in ultrarelativistic gravitational-force collisions of massive point particles is presented in an arbitrary number d of extra dimensions. Our method adapts the post-linear formalism of General Relativity to the multidimensional case. The total emitted energy, as well as its angular and frequency distribution and characteristic values, are discussed in detail.For an electromagnetic mediation propagated in the bulk, the emitted energy E em of scattering with impact parameter b has magnitude E em ∼ e 4 e ′ 2 γ d+2 /(m 2 b 3d+3 ), with dominant frequency ω em ∼ γ 2 /b. For the gravitational force the charge emits via vector field, propagated in the bulk, energy Finally, for the ADD model, including four dimensions, the electromagnetic field living on 3-brane, loses on emission the energyThe contribution of the low frequency part of the radiation (soft photons) to the total radiated energy is shown to be negligible for all values of d. The domain of validity of the classical result is discussed. The result is analyzed from the viewpoint of the de WittBrehme-Hobbs equation (and corresponding equations in higher dimensions). The different frequency domains and their competition mentioned above, may be explained as coming from different terms in this equation. Thus the whole emission process may be naturally split in two sub-processes with drastically different spectral and temporal characteristics.

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Quantum corrections to the Larmor radiation formula in scalar electrodynamics

Cited by 20 publications

References 16 publications

Quantum Larmor radiation in de Sitter spacetime

Quantum Larmor radiation in de Sitter spacetime

Quantum radiation from an inertial scalar charge evolving in the de Sitter universe: Weak-field limit

Vector bremsstrahlung by ultrarelativistic collisions in higher dimensions

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