Foundations of the self-force problem in arbitrary dimensions

Harte, Abraham I.; Taylor, PM; Flanagan, Éanna É.

doi:10.1103/physrevd.97.124053

Cited by 12 publications

(7 citation statements)

References 50 publications

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“…the local flat-space-time condition required by GR cannot be found by shrinking the scale of the spacetime. This point has been implied by quite a few recent researches [16,[21][22][23][24]. To speak alternatively, the electronic field is spreading and thus a nonlocal entity.…”

Section: Conclusion and Discussionmentioning

confidence: 91%

A quantum description for charged fermions in strong gravitational field

Wanng

2019

Preprint

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The falling charge puzzle in gravitational field is well known due to the discussions of radiation. The puzzle lies in the heart of linking the electromagnetism and gravity. Up to date few discussions have fully taken account of quantum effect of a falling charged-fermion in strong gravitational field from the first principle. Based on the hypothesis that 4-dimension conformal symmetry may underly its dynamics, in this paper we try to establish a quantum equation for the falling process. The resultant equation provides a manner accounting for the strong CP violation at the beginning of the Big Bang. Moreover, it turns out that the equation for left-handed fermions breaks the conformal symmetry and has a tensor-like eigen value. A proposed experiment for testing the predictions is also suggested.

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Section: Conclusion and Discussionmentioning

confidence: 91%

A quantum description for charged fermions in strong gravitational field

Wanng

2019

Preprint

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“…This gives a set of properties that we can demand of G S ðx; x 0 Þ (see Ref. [40] for a similar axiomatic construction of the regularized retarded Green function in the classical self-force problem):…”

Section: The Semiclassical Equations a Stress-tensor Regularization A...mentioning

confidence: 99%

Semiclassical backreaction on asymptotically anti–de Sitter black holes

Taylor

Breen

2021

Phys. Rev. D

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We consider a quantum scalar field on the classical background of an asymptotically anti-de Sitter black hole and the backreaction the field's stress-energy tensor induces on the black hole geometry. The backreaction is computed by solving the reduced-order semiclassical Einstein field equations sourced by simple analytical approximations for the renormalized expectation value of the scalar field stress-energy tensor. When the field is massless and conformally coupled, we adopt Page's approximation to the renormalized stress-energy tensor, while for massive fields we adopt a modified version of the DeWitt-Schwinger approximation. The latter approximation must be modified so that it possesses the correct renormalization freedom required to ensure the semiclassical equations are consistent. Equipped with these approximations, the reduced-order field equations are easily integrated and the first-order (in ℏ) corrections to the metric are obtained. We also compute the corrections to the black hole event horizon, surface gravity, and minimum temperature as well as corrections to the photon sphere and quadratic curvature invariants. We pay particular attention to the temperature profiles of the semiclassical black holes compared with their classical counterparts, pointing out some interesting qualitative features produced by the backreaction. These results ought to provide reasonable approximations to the first-order (one-loop) quantum backreaction on the geometry of asymptotically anti-de Sitter black holes when the exact numerical stressenergy tensor sources the semiclassical equations.

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“…This gives a set of properties that we can demand of G S (x, x ) (see Ref. [40] for a similar axiomatic construction of the regularized retarded Green function in the classical self-force problem):…”

Section: The Semi-classical Equations a Stress-tensor Regularization ...mentioning

confidence: 99%

“…For massive fields, we solve Eqs. (52) with the RSET components approximated by our modified DeWitt-Schwinger family of tensors (40). These equations are straightforward to integrate with (40) as the source-term yielding…”

Section: B Backreaction For Massive Fieldsmentioning

confidence: 99%

Semi-Classical Backreaction on Asymptotically Anti-de Sitter Black Holes

Taylor,

Breen

2020

Preprint

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We consider a quantum scalar field on the classical background of an asymptotically anti-de Sitter black hole and the backreaction the field's stress-energy tensor induces on the black hole geometry. The backreaction is computed by solving the reduced-order semi-classical Einstein field equations sourced by simple analytical approximations for the renormalized expectation value of the scalar field stress-energy tensor. When the field is massless and conformally coupled, we adopt Page's approximation to the renormalised stress energy tensor while for massive fields, we adopt a modified version of the DeWitt-Schwinger approximation. The latter approximation must be modified so that it possesses the correct renormalization freedom required to ensure the semi-classical equations are consistent. Equipped with these approximations, the reduced-order field equations are easily integrated and the first-order (in ) corrections to the metric are obtained. We also compute the corrections to the black hole event horizon, surface gravity and minimum temperature. We pay particular attention to the temperature profiles of the semi-classical black holes compared with their classical counterparts, pointing out some interesting qualitative features produced by the backreaction. These results ought to provide reasonable approximations to the first-order (oneloop) quantum backreaction on the geometry of asymptotically anti-de Sitter black holes when the exact numerical stress-energy tensor sources the semi-classical equations.

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Foundations of the self-force problem in arbitrary dimensions

Cited by 12 publications

References 50 publications

A quantum description for charged fermions in strong gravitational field

A quantum description for charged fermions in strong gravitational field

Semiclassical backreaction on asymptotically anti–de Sitter black holes

Semi-Classical Backreaction on Asymptotically Anti-de Sitter Black Holes

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