An example of a uniformly accelerated particle detector with non-Unruh response

Fedotov, A. M.; Narozhny, N. B.; Mur, V. D.; Belinski, V.

doi:10.1016/s0375-9601(02)01442-1

Cited by 16 publications

(13 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Thus in this case a tunnel trajectory with both external parts belonging to the real spacetime 5 does not exist. 5 As has already been emphasized such a condition is indispensable for the exis-…”

Section: Quasiclassical Analysismentioning

confidence: 92%

On the existence of black hole evaporation yet again

Belinski¹

2006

Physics Letters A

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Quasiclassical Analysismentioning

confidence: 92%

On the existence of black hole evaporation yet again

Belinski¹

2006

Physics Letters A

Self Cite

View full text Add to dashboard Cite

show abstract

“…Doubts have been raised on the universality of the Unruh effect, for instance in Ref. [8]. One of the sources of the doubts is that most derivations of the effect consider infinite trajectories, while the trajectories of realistic detectors have a beginning and an end.…”

Section: Introductionmentioning

confidence: 99%

Diamond's temperature: Unruh effect for bounded trajectories and thermal time hypothesis

Martinetti

Rovelli

2003

Class. Quantum Grav.

132

View full text Add to dashboard Cite

We study the Unruh effect for an observer with a finite lifetime, using the thermal time hypothesis. The thermal time hypothesis maintains that: (i) time is the physical quantity determined by the flow defined by a state over an observable algebra, and (ii) when this flow is proportional to a geometric flow in spacetime, temperature is the ratio between flow parameter and proper time. An eternal accelerated Unruh observer has access to the local algebra associated to a Rindler wedge. The flow defined by the Minkowski vacuum of a field theory over this algebra is proportional to a flow in spacetime and the associated temperature is the Unruh temperature. An observer with a finite lifetime has access to the local observable algebra associated to a finite spacetime region called a "diamond". The flow defined by the Minkowski vacuum of a (four dimensional, conformally invariant) quantum field theory over this algebra is also proportional to a flow in spacetime. The associated temperature generalizes the Unruh temperature to finite lifetime observers.Furthermore, this temperature does not vanish even in the limit in which the acceleration is zero. The temperature associated to an inertial observer with lifetime T , which we denote as "diamond's temperature", is T D = 2 /πk b T . This temperature is related to the fact that a finite lifetime observer does not have access to all the degrees of freedom of the quantum field theory. However, we do not attempt to provide any physical interpretation of our proposed assignment of a temperature.

show abstract

“…As it was explained in the preceding subsection, the boost modes owing to Lorentz and CPT invariance and energy positivity obey properties (5). As a consequence, the two modes Ψ κ>0 (x) and Ψ * −κ<0 (x) differ in each of R-and L-wedges only by numerical factors.…”

Section: Unruh Modes and Unruh Effectmentioning

confidence: 73%

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

View full text Add to dashboard Cite

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.

show abstract

An example of a uniformly accelerated particle detector with non-Unruh response

Cited by 16 publications

References 15 publications

On the existence of black hole evaporation yet again

On the existence of black hole evaporation yet again

Diamond's temperature: Unruh effect for bounded trajectories and thermal time hypothesis

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

Contact Info

Product

Resources

About