Adiabatic expansions for Dirac fields, renormalization, and anomalies

Ferreiro, Antonio; Navarro-Salas, José; Villaseñor, Eduardo J. S.

doi:10.1103/physrevd.98.025016

Cited by 41 publications

(64 citation statements)

References 41 publications

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“…The basic principles for scalar fields can be borrowed from Ref. 8 , while for spin-1/2 fields one can see 7,9 . The main idea here is to consider an adiabatic expansion of the mode functions.…”

Section: Spinor Qed 2 and The Adiabatic Renormalization Schemementioning

confidence: 99%

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

Ferreiro

Navarro-Salas

2018

Phys. Rev. D

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We consider pair production phenomena in spatially homogeneous strong electric fields. We focus on spinor QED in two-dimensions and discuss the potential ambiguity in the adiabatic order assignment for the electromagnetic potential required to fix the renormalization subtractions. This ambiguity can be univocally fixed by imposing, at the semiclassical level, stress-energy conservation when both electric and gravitational backgrounds are present.

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Section: Spinor Qed 2 and The Adiabatic Renormalization Schemementioning

confidence: 99%

“…where the order of the expansion is determined by the number of derivatives of the background fields. A different type of expansion is required for fermionic fields 7,9 . A very crucial point to properly define the adiabatic expansion, for both scalar and Dirac fields, is to fix the leading order.…”

Section: Spinor Qed 2 and The Adiabatic Renormalization Schemementioning

confidence: 99%

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

Ferreiro

Navarro-Salas

2018

Phys. Rev. D

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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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Adiabatic expansions for Dirac fields, renormalization, and anomalies

Cited by 41 publications

References 41 publications

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

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

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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