Deformed field theory on $\kappa$ -spacetime

Dimitrijević, Marija; Jonke, Larisa; Möller, Lutz; Tsouchnika, Efrossini; Wess, Julius; Wohlgenannt, Michael

doi:10.1140/epjc/s2003-01309-y

Cited by 159 publications

(241 citation statements)

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“…Furthermore it has been shown that the space-times associated with a variety of black holes at the Planck scale could be described by a κ-Minkowski algebra [16][17][18]. In this paper we shall take the κ-Minkowski algebra [19][20][21][22][23][24][25][26][27][28] as the prototype of a space-time at the Planck scale and shall investigate various features of QNM's and associated physics in that background.…”

Section: Introductionmentioning

confidence: 99%

Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

Gupta¹,

Jurić²,

Samsarov³

2017

J. High Energ. Phys.

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Abstract:We analyze the fermionic quasinormal modes of the BTZ black hole in the presence of space-time noncommutativity. Our analysis exploits a duality between a spinless and spinning BTZ black hole, the spin being proportional to the noncommutative deformation parameter. Using the AdS/CFT correspondence we show that the horizon temperatures in the dual CFT are modified due to noncommutative contributions. We demonstrate the equivalence between the quasinormal and non-quasinormal modes for the noncommutative fermionic probes, which provides further evidence of holography in the noncommutative setting. Finally we present an analysis of the emission of Dirac fermions and the corresponding tunneling amplitude within this noncommutative framework.

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Section: Introductionmentioning

confidence: 99%

Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

Gupta¹,

Jurić²,

Samsarov³

2017

J. High Energ. Phys.

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“…When noncommutativity is present Lorentz symmetry is usually broken, but recent results suggest that for some special choices of the tensors θ and ρ Lorentz symmetry might be deformed, in the sense of the recently proposed "doublyspecial relativity" scenario [53], rather than broken. In particular, this appears to be the case for the Lie-algebra κ-Minkowski [54,55,58,71,72,73] noncommutative spacetime (l, m = 1, 2, 3)…”

Section: Modified Dispersion Relations In κ-Minkowski Noncommutative mentioning

confidence: 93%

Introduction to Quantum-Gravity Phenomenology

Amelino‐Camelia

2005

Planck Scale Effects in Astrophysics and Cosmology

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After a brief review of the first phase of development of Quantum-Gravity Phenomenology, I argue that this research line is now ready to enter a more advanced phase: while at first it was legitimate to resort to heuristic order-of-magnitude estimates, which were sufficient to establish that sensitivity to Planck-scale effects can be achieved, we should now rely on detailed analyses of some reference test theories. I illustrate this point in the specific example of studies of Planck-scale modifications of the energy/momentum dispersion relation, for which I consider two test theories. Both the photon-stability analyses and the Crab-nebula synchrotron-radiation analyses, which had raised high hopes of "beyond-Plankian" experimental bounds, turn out to be rather ineffective in constraining the two test theories. Examples of analyses which can provide constraints of rather wide applicability are the so-called "time-of-flight analyses", in the context of observations of gamma-ray bursts, and the analyses of the cosmic-ray spectrum near the GZK scale.

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“…Such spaces are believed to be important for the understanding of quantum gravity. Recent realizations of noncommutativity in such contexts have been described for κ-Minkowski space [1] and in doubly special relativity [2], among many others.…”

Section: Noncommutative Spacesmentioning

confidence: 99%