Pair creation in electric fields, anomalies, and renormalization of the electric current

Ferreiro, Antonio; Navarro-Salas, José

doi:10.1103/physrevd.97.125012

Cited by 27 publications

(53 citation statements)

References 72 publications

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“…Note in passing that for a sudden electric pulse (ρ >> 0) the momentum distribution of the particles is concentrated in the characteristic values k = 0 and k = qA 0 . To see whether |β k | 2 vanishes in the adiabatic limit we analyze in detail the behavior ρ → 0 on (19). We get…”

Section: Breaking Of Adiabatic Invariance For Scalar Qed2mentioning

confidence: 99%

“…The vacuum expectation of this observable is UV-divergent and has to be renormalized. In the context of an homogeneous and time dependent background it is very convenient to use the adiabatic regularization/renormalization method described in [18,19]. After performing the appropriated subtractions, one obtains…”

Section: A Electric Currentmentioning

confidence: 99%

“…Therefore, the beta coefficients can be obtained from Eq. (19) replacing k by k 3 and m by m ef f . According to our previous results for scalar fields, only for m = 0 and k 1 = 0 = k 2 one can have a non-vanishing |β k | 2 in the adiabatic limit.…”

Section: A Scalar Fieldmentioning

confidence: 99%

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Breaking of adiabatic invariance in the creation of particles by electromagnetic backgrounds

et al. 2019

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Particles are spontaneously created from the vacuum by time-varying gravitational or electromagnetic backgrounds. It has been proven that the particle number operator in an expanding universe is an adiabatic invariant. In this paper we show that, in some special cases, the expected adiabatic invariance of the particle number fails in presence of electromagnetic backgrounds. Furthermore, we also show a close relation between the breaking of the adiabatic invariance and the emergence of the axial anomaly.

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Section: Breaking Of Adiabatic Invariance For Scalar Qed2mentioning

confidence: 99%

Section: A Electric Currentmentioning

confidence: 99%

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Breaking of adiabatic invariance in the creation of particles by electromagnetic backgrounds

et al. 2019

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“…The method of adiabatic subtraction for regularization of both cases scalar and spinor QED in an expanding universe has been extensively studied in Refs. [99][100][101][102]. In this paper our main goals are investigation of the induced energy-momentum tensor of the Dirac field in de Sitter QED and further exploring validity of the adiabatic subtraction regularization.…”

Section: Introductionmentioning

confidence: 99%

Induced energy-momentum tensor of a Dirac field in 2D de Sitter QED

Botshekananfard

Bavarsad

2020

Phys. Rev. D

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We compute the expectation value of the energy-momentum tensor in the in-vacuum state of the quantized Dirac field coupled to a uniform electric field background on the Poincaré path of the two dimensional de Sitter spacetime (dS 2 ). The adiabatic regularization scheme is applied to remove the ultraviolet divergencies from the expressions. We find, the off-diagonal components of the induced energy-momentum tensor vanishes and the absolute values of the diagonal components are increasing functions of the electric field which decrease as the Dirac field mass increases. We derive the trace anomaly of the induced energy-momentum tensor, which agrees precisely with the trace anomaly derived earlier in the literature. We have discusses the backreaction of the induced energy-momentum tensor on the gravitational field.

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“…It has been extended to quantized Dirac fields in the presence of a homogenous electromagnetic background in Refs. [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Translational anomaly of chiral fermions in two dimensions

2019

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It is well known that a quantized two-dimensional Weyl fermion coupled to gravity spoils general covariance and breaks the covariant conservation of the energy-momentum tensor. In this brief article, we point out that the quantum conservation of the momentum can also fail in flat spacetime, provided the Weyl fermion is coupled to a time-varying homogeneous electric field. This signals a quantum anomaly of the space-translation symmetry, which has not been highlighted in the literature so far.

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Pair creation in electric fields, anomalies, and renormalization of the electric current

Cited by 27 publications

References 72 publications

Breaking of adiabatic invariance in the creation of particles by electromagnetic backgrounds

Breaking of adiabatic invariance in the creation of particles by electromagnetic backgrounds

Induced energy-momentum tensor of a Dirac field in 2D de Sitter QED

Translational anomaly of chiral fermions in two dimensions

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