Magnetic and electric properties of a quantum vacuum

Battesti, Rémy; Rizzo, C.

doi:10.1088/0034-4885/76/1/016401

Cited by 152 publications

(167 citation statements)

References 197 publications

(366 reference statements)

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“…One of the striking predictions of quantum field theory (QFT) is that virtual charged particle-antiparticle fluctuations in the quantum vacuum can induce nonlinear interactions among electromagnetic fields [1][2][3]; for reviews emphasizing various theoretical aspects as well as prospects for the experimental detection of such effects, see [4][5][6][7][8][9][10][11][12][13]. Aiming at probing the vacuum of the Standard Model of particle physics with classical electromagnetic fields and low energy photons, the dominant effective interactions are governed by quantum electrodynamics (QED).…”

Section: Introductionmentioning

confidence: 99%

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An addendum to the Heisenberg-Euler effective action beyond one loop

Gies

Karbstein

2017

J. High Energ. Phys.

111

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Abstract:We study the effective interactions of external electromagnetic fields induced by fluctuations of virtual particles in the vacuum of quantum electrodynamics. Our main focus is on these interactions at two-loop order. We discuss in detail the emergence of the renowned Heisenberg-Euler effective action from the underlying microscopic theory of quantum electrodynamics, emphasizing its distinction from a standard one-particle irreducible effective action. In our explicit calculations we limit ourselves to constant and slowly varying external fields, allowing us to adopt a locally constant field approximation. One of our main findings is that at two-loop order there is a finite one-particle reducible contribution to the Heisenberg-Euler effective action in constant fields, which was previously assumed to vanish. In addition to their conceptual significance, our results are relevant for high-precision probes of quantum vacuum nonlinearity in strong electromagnetic fields.

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Section: Introductionmentioning

confidence: 99%

“…For the macroscopic electromagnetic fields presently attainable in the laboratory, the effects of QED vacuum nonlinearities are rather small, making their experimental detection challenging [9,11]. These effective interactions have no tree-level analogue, but are mediated by at least one electron-positron loop.…”

Section: Introductionmentioning

confidence: 99%

An addendum to the Heisenberg-Euler effective action beyond one loop

Gies

Karbstein

2017

J. High Energ. Phys.

111

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“…Note, that m 2 e can be converted into the units of the electric and magnetic field, respectively. Correspondingly, we have e } ≪ 1 for present and near-future high-intensity lasers, reaching peak field strengths up to E ≈ 10 14 V/m and B ≈ 10 6 T. For various theoretical proposals and experimental attempts to verify effective nonlinearities of QED in external fields, we refer the reader to the pertinent reviews [6][7][8][9][10][11][12][13][14][15] and references therein.…”

Section: Introductionmentioning

confidence: 90%

Photon polarization tensor in pulsed Hermite- and Laguerre-Gaussian beams

Karbstein

Mosman

2017

Phys. Rev. D

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In this article, we provide analytical expressions for the photon polarization tensor in pulsed Hermite-and Laguerre-Gaussian laser beams. Our results are based on a locally constant field approximation of the one-loop Heisenberg-Euler effective Lagrangian for quantum electrodynamics.Hence, by construction they are limited to slowly varying electromagnetic fields, varying on spatial and temporal scales significantly larger than the Compton wavelength/time of the electron. The latter criterion is fulfilled by all laser beams currently available in the laboratory. Our findings will, e.g., be relevant for the study of vacuum birefringence experienced by probe photons brought into collision with a high-intensity laser pulse which can be represented as a superposition of either Hermite-or Laguerre-Gaussian modes. * Electronic address: felix.karbstein@uni-jena.de † Electronic address: mosmanea@tpu.ru

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“…The existence of such a magnetic linear birefringence is also predicted in vacuum through the Quantum ElectroDynamics (QED) Heisenberg-Euler effective lagrangian (see Ref. [1] and references therein). In a vacuum therefore the index of refraction n ∥ for light polarized parallel to B is expected to be different from the index of refraction n ⊥ for light polarized perpendicular to B such that [1]:…”

Section: Introductionmentioning

confidence: 91%

“…[1] and references therein). In a vacuum therefore the index of refraction n ∥ for light polarized parallel to B is expected to be different from the index of refraction n ⊥ for light polarized perpendicular to B such that [1]:…”

Section: Introductionmentioning

confidence: 99%

Vacuum Magnetic Birefringence

Rizzo¹

2014

Proceedings of International Conference on the Structure and the Interactions of the Photon Including the 20th International Wo

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We present the measurement of the vacuum magnetic linear birefringence obtained using the first generation setup of the BMV experiment. Our apparatus is based on an up-to-date resonant optical cavity coupled to a transverse magnetic field. The reported value of vacuum magnetic linear birefringence k CM , obtained with about 100 magnetic pulses and a maximum field of 6.5 T, is k CM = (5.1 ± 6.2) × 10 −21 T −2 at 3σ confidence level. This result is also used to extend the excluded region of axion-two photons coupling constant g as a function of the axion mass m a . The best limit is obtained at m a = 3.3 meV with g < 1.9 × 10 −6 GeV −1 at 3σ confidence level.

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Magnetic and electric properties of a quantum vacuum

Cited by 152 publications

References 197 publications

An addendum to the Heisenberg-Euler effective action beyond one loop

An addendum to the Heisenberg-Euler effective action beyond one loop

Photon polarization tensor in pulsed Hermite- and Laguerre-Gaussian beams

Vacuum Magnetic Birefringence

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