Pair Production in a Strong Rotating Magnetic Field: The Effect of a Weak Background Gravitational Field

Piazza, A. Di

doi:10.1142/s0217751x06025523

Cited by 4 publications

(3 citation statements)

References 33 publications

(92 reference statements)

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“…We want to study the case where the gravity acts as a perturbation [6] and also a particular case of strong i.e. nonperturbative gravity [7].…”

Section: Effects Of Gravitymentioning

confidence: 99%

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Production of light particles by very strong and slowly varying magnetic fields

Piazza

2007

Braz. J. Phys.

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The possibility that around some astrophysical objects there are non-static magnetic fields of enormous intensity suggests that in these situations real particles may be produced. The slowness of the variation is compensated by the huge intensity. The main issue is the production of e + − e − pairs annihilating into photons and the direct production of photons, as one of the concurrent process in the GRB (gamma ray bursts). Then some simple effects due to the presence of the intense gravity are studied and finally a look is given to the production of other kinds of particles.Keywords: Particle creation; Strong magnetic fields; Field theory in curved spacetime I. MOTIVATIONSThere are phenomenological and formal motivations.For the first instance: there are the Gamma-ray Bursts and the signal is obviously electromagnetic: this electromagnetic signal could well be the final outcome of dynamical processes where other kind of interaction are involved, but we can look also for a direct electromagnetic origin of the phenomenon. We don't say that what we propose is the main mechanism, but this kind of mechanism must exist since it is a direct consequence of standard electrodynamics, provided we accept the existence of huge, slowly varying magnetic fields.The formal motivation is that this kind of analysis yields an example of nonperturbative QED: It happens that, contrary to the very numerous and extremely accurate calculations in perturbative QED, the sector of nonperturbative QED is less frequently explored. II. GENERAL FEATURESWe have to deal with a typical two-scale problem: there is the astrophysical scale and the elementary-particle scale. The astrophysical scale is characterized by low frequencies, but these low frequencies can be compensated by huge intensities of the magnetic field. We make more quantitative this statement: In the usual unit = c = 1, with m and −e < 0 mass and charge of the electron one defines usually B cr = m 2 /e 4.4 × 10 9 T. In this situation the Landau-level energies are of the order of the electron mass. It is usually thought that around the objects that produce the GRB the magnetic fields are such that B ≥ B cr ; they are slowly varying: if ω, is a frequency typical of the elementary particle dynamics, then |Ḃ(t)|/|B(t)| ω. The production takes place in regions of the order of the Compton wave lengths, so the field may be safely taken as uniform in space: B(r,t) ≡ B(t).In view of these features the most suitable scheme of calculation is given by the adiabatic approximation whose relevant aspect are summarized here below.Given a Hamiltonian H(ξ) with discrete eigenstates, where ξ = ξ(t) is a slowly varying parameter, define:The eigenstate of H(t 1 ) evolved with H(t) from t 1 to t 2 is not eigenstate of H(t 2 ). There are transitions between eigenstates of H(ξ) and the first-order transition amplitude is given by:For the problem we are considering III. ELECTRON PRODUCTIONWe start [1][2][3] by considering a relativistic electron in a constant and uniform magnetic field which lies on the y...

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“…We want to study the case where the gravity acts as a perturbation [6] and also a particular case of strong i.e. nonperturbative gravity [7].…”

Section: Effects Of Gravitymentioning

confidence: 99%

“…In order to have huge B very compact objects are needed, then relevant effects of gravity are expected. We want to study the case where the gravity acts as a perturbation [6] and also a particular case of strong i.e. nonperturbative gravity [7].…”

Section: Effects Of Gravitymentioning

confidence: 99%

Production of light particles by very strong and slowly varying magnetic fields

Piazza

2007

Braz. J. Phys.

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“…We further assume that these fields' dynamics are negligable in the region of interest and we may treat them as background fields. The effects of the symmetric tensor h on particle physics in this limit has been studied elsewhere (see for example [11,12,13]). We would like to focus our attention here on the effects of the antisymmetric piece a µν .…”

Section: Introductionmentioning

confidence: 99%

Can a Nonsymmetric Metric mimic NCQFT in e⁺e^- → γγ?

Kersting

2007

Mod. Phys. Lett. A

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In the nonsymmetric gravitational theory (NGT) the space-time metric g µν departs from the flat-space Minkowski form η µν such that it is no longer symmetric, i.e. g µν = g νµ . We find that in the most conservative such scenario coupled to quantum field theory, which we call Minimally Nonsymmetric Quantum Field Theory (MNQFT), there are experimentally measurable consequences similar to those from noncommutative quantum field theory (NCQFT). This can be expected from the Seiberg-Witten map which has recently been interpreted as equating gauge theories on noncommutative spacetimes with those in a field dependent gravitational background. In particular, in scattering processes such as the pair annihilation e + e − → γγ, both theories make the same striking prediction that the azimuthal cross section oscillates in φ. However the predicted number of oscillations differs in the two theories: MNQFT predicts between one and four, whereas NCQFT has no such restriction.

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Impact of spatially periodic inhomogeneities on the photon-induced pair creation

Jiang,

Grobe,

2023

Phys. Rev. A

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Pair Production in a Strong Rotating Magnetic Field: The Effect of a Weak Background Gravitational Field

Cited by 4 publications

References 33 publications

Production of light particles by very strong and slowly varying magnetic fields

Production of light particles by very strong and slowly varying magnetic fields

Can a Nonsymmetric Metric mimic NCQFT in e⁺e^- → γγ?

Impact of spatially periodic inhomogeneities on the photon-induced pair creation

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Pair Production in a Strong Rotating Magnetic Field: The Effect of a Weak Background Gravitational Field

Cited by 4 publications

References 33 publications

Production of light particles by very strong and slowly varying magnetic fields

Production of light particles by very strong and slowly varying magnetic fields

Can a Nonsymmetric Metric mimic NCQFT in e+e- → γγ?

Impact of spatially periodic inhomogeneities on the photon-induced pair creation

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Product

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Can a Nonsymmetric Metric mimic NCQFT in e⁺e^- → γγ?