Microcausality and quantum cylindrical gravitational waves

Marugán, Guillermo A. Mena; Villaseñor, Eduardo J. S.

doi:10.1103/physrevd.67.124006

Cited by 30 publications

(58 citation statements)

References 21 publications

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“…The function γ(R) (apart from a factor of 8G) has a simple physical interpretation: it is the energy of the scalar field in a ball of radius R whereas γ ∞ denotes lim R→∞ γ(R) (the energy of the whole two-dimensional flat space). It is also possible to show [3,7] that γ ∞ /8G coincides with the Hamiltonian H 0 of the system obtained by a linearization of the metric (1). In order to have a unit asymptotic timelike Killing vector and a physical notion of energy (per unit length) we introduce the coordinates (t, R, θ, Z) defined by T = e −γ∞/2 t. In these coordinates the metric takes the form [2,14] …”

Section: The Field Commutatormentioning

confidence: 82%

“…On one hand it has an infinite number of local degrees of freedom and, hence, it is a genuine quantum field theory (in contradistinction to other symmetry reductions, such as Bianchi models, that have a finite number of global degrees of freedom). On the other, the system is tractable both classically and quantum mechanically, thus allowing to derive exact consequences independent of any approximation scheme [3,4,5,6,7,8]. The main reason behind this success and tractability is the fact that the gravitational degrees of freedom of the model are encoded in an free, massless, axially symmetric, scalar field that evolves in an auxiliary Minkowskian background.…”

Section: Introductionmentioning

confidence: 99%

“…In previous papers we have analyzed the issue of microcausality in this system; in particular, we have studied in detail the smearing of light cones owing to the quantization of the gravitational field [7,8]. The main tool for this type of analysis is the study in vacuo of the field commutator evaluated at different spacetime points.…”

Section: Introductionmentioning

confidence: 99%

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Asymptotics of regulated field commutators for Einstein-Rosen waves

González

Marugán

Villaseñor

2005

Journal of Mathematical Physics

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We discuss the asymptotic behavior of regulated field commutators for linearly polarized, cylindrically symmetric gravitational waves and the mathematical techniques needed for this analysis. We concentrate our attention on the effects brought about by the introduction of a physical cut-off in the study of the microcausality of the model and describe how the different physically relevant regimes are affected by its presence. Specifically we discuss how genuine quantum gravity effects can be disentangled from those originating in the introduction of a regulator.

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Section: The Field Commutatormentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

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Asymptotics of regulated field commutators for Einstein-Rosen waves

González

Marugán

Villaseñor

2005

Journal of Mathematical Physics

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“…Since this function is constant in and decreasing in , the conditions are satisfied. Our next example is a DSR analogue of the EinsteinRosen gravitational waves [52], which is of the DSR3 class (i.e., only the physical energy is bounded). It is shown in the appendix that in this case one gets for the MS proposal H ;…”

Section: B Bound On the Change Of Areamentioning

confidence: 99%

“…[55]. For these waves, the physical energy turns out to be given by a nonlinear function of a different, auxiliary energy that is defined via quantum field theory in flat spacetime [52]. For each angular frequency and wave number ( , ) in this auxiliary theory, the nonlinear relation is …”

Section: Appendix: Dsr Modelsmentioning

confidence: 99%

Entropy and temperature of black holes in a gravity’s rainbow

Galán

Marugán

2006

Phys. Rev. D

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The linear relation between the entropy and area of a black hole can be derived from the Heisenberg principle, the energy-momentum dispersion relation of special relativity, and general considerations about black holes. There exist results in quantum gravity and related contexts suggesting the modification of the usual dispersion relation and uncertainty principle. One of these contexts is the gravity's rainbow formalism. We analyze the consequences of such a modification for black hole thermodynamics from the perspective of two distinct rainbow realizations built from doubly special relativity. One is the proposal of Magueijo and Smolin and the other is based on a canonical implementation of doubly special relativity put forward recently by the authors. In these scenarios, we obtain modified expressions for the entropy and temperature of black holes. We show that, for a family of doubly special relativity theories satisfying certain properties, the temperature can vanish in the limit of zero black hole mass. For the Magueijo and Smolin proposal, this is only possible for some restricted class of models with bounded energy and unbounded momentum. With the proposal of a canonical implementation, on the other hand, the temperature may vanish for more general theories; in particular, the momentum may also be bounded, with bounded or unbounded energy. This opens new possibilities for the outcome of black hole evaporation in the framework of a gravity's rainbow.

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Generalized Virasoro anomaly and stress tensor for dilaton coupled theories

2003

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We derive the anomalous transformation law of the quantum stress tensor for a 2D massless scalar field coupled to an external dilaton. This provides a generalization of the Virasoro anomaly which turns out to be consistent with the trace anomaly. We apply it together with the equivalence principle to compute the expectation values of the covariant quantum stress tensor on a curved background. Finally we briefly illustrate how to evaluate vacuum polarization and Hawking radiation effects from these results.

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Microcausality and quantum cylindrical gravitational waves

Cited by 30 publications

References 21 publications

Asymptotics of regulated field commutators for Einstein-Rosen waves

Asymptotics of regulated field commutators for Einstein-Rosen waves

Entropy and temperature of black holes in a gravity’s rainbow

Generalized Virasoro anomaly and stress tensor for dilaton coupled theories

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