Boost modes for a massive fermion field and the Unruh problem

Gelfer, E. G.; Fedotov, A. M.; Mur, V. D.; Narozhny, N. B.

doi:10.1007/s11232-015-0268-0

Cited by 6 publications

(5 citation statements)

References 52 publications

(78 reference statements)

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“…But these tools have the opposite drawback: Bogoliubov transformations and particle detector effects (and in particular those associated with accelerations) seem to lack the objective tensorial property of the RSET. This issue has been at the heart of an ongoing controversy about whether Unruh radiation could really be detected at all, even in principle (see [19] for a review, and [20] for a recent example), a view that we do not share, as it will become clear along this paper. So the RSET on the one hand, and perception effects through particle detectors on the other hand, encode different aspects of quantum field theory in curved backgrounds which, at first sight, seem to require separate treatment.…”

Section: Introductionmentioning

confidence: 95%

A tensorial description of particle perception in black-hole physics

et al. 2016

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In quantum field theory in curved backgrounds, one typically distinguishes between objective, tensorial quantities such as the renormalized stress-energy tensor (RSET) and subjective, nontensorial quantities such as Bogoliubov coefficients which encode perception effects associated with the specific trajectory of a detector. In this work, we propose a way to treat both objective and subjective notions on an equal tensorial footing. For that purpose, we define a new tensor which we will call the perception renormalized stressenergy tensor (PeRSET). The PeRSET is defined as the subtraction of the RSET corresponding to two different vacuum states. Based on this tensor, we can define perceived energy densities and fluxes. The PeRSET helps us to have a more organized and systematic understanding of various results in the literature regarding quantum field theory in black hole spacetimes. We illustrate the physics encoded in this tensor by working out various examples of special relevance.

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Section: Introductionmentioning

confidence: 95%

A tensorial description of particle perception in black-hole physics

et al. 2016

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“…the discussions in [5][6][7][8][9][10][11]; even the very existence of the Unruh effect is sometimes still questioned, see e.g. [12]). A controversy on whether the equivalence principle is preserved in the presence of these effects is still unsettled [13].…”

Section: Introductionmentioning

confidence: 99%

Hawking versus Unruh effects, or the difficulty of slowly crossing a black hole horizon

Barbado

Barceló

Garay

et al. 2016

J. High Energ. Phys.

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When analyzing the perception of Hawking radiation by different observers, the Hawking effect becomes mixed with the Unruh effect. The separation of both effects is not always clear in the literature. Here we propose an inconsistency-free interpretation of what constitutes a Hawking effect and what an Unruh effect. An appropriate interpretation is important in order to elucidate what sort of effects a detector might experience depending on its trajectory and the state of the quantum field. Under simplifying assumptions we introduce an analytic formula that separates these two effects. Armed with the previous interpretation we argue that for a free-falling detector to cross the horizon without experiencing high-energy effects, it is necessary that the horizon crossing is not attempted at low velocities.

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“…Most of the results reviewed here were obtained [9][10][11][12][13][14][15][16]29 in collaboration with our colleagues Vladimir Belinski, Vadim Mur, Evgeny Gelfer and Boris Karnakov. This work was supported by the Russian Foundation for Basic Research (grant 16-02-00963) and the Russian Federation President program for support of the leading research schools.…”

Section: Acknowledgmentsmentioning

confidence: 86%

“…Interestingly, not only zero mode but in fact all the complete set of boost modes can be reproduced b using just the Wightman function and specifying the desired symmetry, see Ref. 16.…”

Section: Scalar Boost Modesmentioning

confidence: 99%

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Scalar and fermion representations of the Lorentz group in Minkowski plane, QFT correlators, pair creation in electric field and the Unruh effect

Fedotov

Narozhny

2017

The Fourteenth Marcel Grossmann Meeting

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Boost modes Ψκ (x) are eigenfunctions of the Lorentz transformations generator in twodimensional (2D) Minkowski space (MS). We demonstrate and discuss deep interrelation between the boost modes and the field correlators, also known as Wightman functions. In the case of a massive scalar field, the boost modes, as functions of the spectral parameter κ, contain the Dirac delta-function singularity δ(κ) at the light cone. The zero boost mode coincides up to a constant factor with the Wightman function. The light cone singularity of boost modes for a fermion field is stronger. For this case, they contain the Gelfand δ-function of complex argument δ(κ ± i/2), while the Wightman function components coincide with analytical continuation of the boost modes set towards the spectral values κ = ∓i/2. We argue that due to the discovered properties of the boost modes the so-called Unruh modes, which are at the core of the Unruh effect derivation, do not constitute a complete set in MS and thus cannot be used for quantization of neither scalar, nor fermion field. Finally, we discuss boost modes for the case of the constant electric background and rederive the well-known result for spontaneous pair creation rate. Solution of this problem in the boost modes representation reveals distinctions between the Unruh problem and the effect of pair creation by an electric field in vacuum.

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Boost modes for a massive fermion field and the Unruh problem

Cited by 6 publications

References 52 publications

A tensorial description of particle perception in black-hole physics

A tensorial description of particle perception in black-hole physics

Hawking versus Unruh effects, or the difficulty of slowly crossing a black hole horizon

Scalar and fermion representations of the Lorentz group in Minkowski plane, QFT correlators, pair creation in electric field and the Unruh effect

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