Quantum electrodynamical corrections to graviton-matter vertices

Berends, F.A.; Gastmans, R.

doi:10.1016/0003-4916(76)90245-1

Cited by 87 publications

(140 citation statements)

References 17 publications

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“…Indeed, one may concentrate on the coupling of the stress-energy tensor of the medium to an external gravitational field L = − κ 2 h µν T µν . Following [32], the expectation of the fermionic stress-energy tensor can be decomposed as…”

Section: Chiral Matter In Gravitational Fieldmentioning

confidence: 99%

Chiral anomalous dispersion

Sadofyev

Sen

2018

J. High Energ. Phys.

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Abstract:The linearized Einstein equation describing graviton propagation through a chiral medium appears to be helicity dependent. We analyze features of the corresponding spectrum in a collision-less regime above a flat background. In the long wave-length limit, circularly polarized metric perturbations travel with a helicity dependent group velocity that can turn negative giving rise to a new type of an anomalous dispersion. We further show that this chiral anomalous dispersion is a general feature of polarized modes propagating through chiral plasmas extending our result to the electromagnetic sector.

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Section: Chiral Matter In Gravitational Fieldmentioning

confidence: 99%

Chiral anomalous dispersion

Sadofyev

Sen

2018

J. High Energ. Phys.

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“…In these cases the expression of the renormalized f Z form factor takes the form 25) while the W form factor is slightly lengthier 26) 3 Cross sections for photons, massive fermions and scalars…”

Section: Jhep07(2015)160mentioning

confidence: 99%

“…As pointed out in previous studies [5,7,14,25], the computation of the angle of deflection for a fermion or a photon involves a simple semiclassical analysis, in which one introduces the impact parameter representation of the specific classical cross section and equates it to the quantum one. The classical/semiclassical scattering process is illustrated in figure 2, with α denoting the angle of deflection.…”

Section: Jhep07(2015)160mentioning

confidence: 99%

“…At leading order in the external field Φ both the timelike and the spacelike components are equal ( h 00 ≡ h ii ), while at higher orders they are expressed in terms of two form factors 25) which at higher order in the weak external field are given by…”

Section: Quantum Effects At 2nd Pn Ordermentioning

confidence: 99%

“…This semiclassical equation [7,25] allows to relate the quantum and the classical features of the interaction between the particle beam and the gravitational source. The explicit expression of b(α), at least for small deflection angles, which correspond to large values of the impact parameter, can be found either analytically, such as at Born level and, for small momentum transfers also at one-loop, but it has to be obtained numerically otherwise.…”

Section: Jhep07(2015)160mentioning

confidence: 99%

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Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Corianò

Costantini

Dell’Atti

et al. 2015

J. High Energ. Phys.

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We extend a previous phenomenological analysis of photon lensing in an external gravitational background to the case of a massless neutrino, and propose a method to incorporate radiative effects in the classical lens equations of neutrinos and photons. The study is performed for a Schwarzschild metric, generated by a point-like source, and expanded in the Newtonian potential at first order. We use a semiclassical approach, where the perturbative corrections to neutrino scattering, evaluated at one-loop in the Standard Model, are compared with the Einstein formula for the deflection using an impact parameter formulation. For this purpose, we use the renormalized expression of the graviton/fermion/fermion vertex presented in previous studies. We show the agreement between the classical and the semiclassical formulations, for values of the impact parameter b h of the neutrinos of the order of b h ∼ 20, measured in units of the Schwarzschild radius. The analysis is then extended with the inclusion of the post Newtonian corrections in the external gravity field, showing that this extension finds application in the case of the scattering of a neutrino/photon off a primordial black hole. The energy dependence of the deflection, generated by the quantum corrections, is then combined with the standard formulation of the classical lens equations. We illustrate our approach by detailed numerical studies, using as a reference both the thin lens and the Virbhadra-Ellis lens.

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Fakeons, Quantum Gravity and the Correspondence Principle

Anselmi

2020

Progress and Visions in Quantum Theory in View of Gravity

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Quantum electrodynamical corrections to graviton-matter vertices

Cited by 87 publications

References 17 publications

Chiral anomalous dispersion

Chiral anomalous dispersion

Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Fakeons, Quantum Gravity and the Correspondence Principle

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