Role of gravity in the pair creation induced by electric fields

Ferreiro, Antonio; Navarro-Salas, José; Pla, Silvia

doi:10.1103/physrevd.98.045015

Cited by 25 publications

(43 citation statements)

References 41 publications

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“…In our analysis we make no assumptions about the background space-time geometry or the fixed, classical, electromagnetic field with which the charged scalar field interacts. Therefore our results are applicable, not only to black hole space-times, but also to scalar QED on cosmological space-times, for which the RSET has recently been computed using adiabatic regularization in two [42] and four [43] space-time dimensions.…”

Section: Introductionmentioning

confidence: 84%

Hadamard renormalization for a charged scalar field

Balakumar¹,

Winstanley²

2020

Class. Quantum Grav.

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The Hadamard representation of the Green's function of a quantum field on a curved space-time is a powerful tool for computations of renormalized expectation values. We study the Hadamard form of the Feynman Green's function for a massive charged complex scalar field in an arbitrary number of space-time dimensions. Explicit expressions for the coefficients in the Hadamard parametrix are given for two, three and four space-time dimensions. We then develop the formalism for the Hadamard renormalization of the expectation values of the scalar field condensate, current and stress-energy tensor. These results will have applications in the computation of renormalized expectation values for a charged quantum scalar field on a charged black hole space-time, and hence in addressing issues such as the quantum stability of the inner horizon.

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Section: Introductionmentioning

confidence: 84%

Hadamard renormalization for a charged scalar field

Balakumar¹,

Winstanley²

2020

Class. Quantum Grav.

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“…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%

“…where h k (t) are again the mode functions of the scalar field and the three last terms account for the adiabatic subtractions required by renormalization [18]. As for the electric current, we will we focus on the late time behavior.…”

Section: B Energy Densitymentioning

confidence: 99%

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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“…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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Role of gravity in the pair creation induced by electric fields

Cited by 25 publications

References 41 publications

Hadamard renormalization for a charged scalar field

Hadamard renormalization for a charged scalar field

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

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