$\kappa -$Minkowski spacetime and a uniformly accelerating observer

Abstract

We analyze the response of a detector with a uniform acceleration $\alpha$ in $\kappa -$Minkowski spacetime using the first order perturbation theory. The monopole detector is coupled to a massless complex scalar field in such a way that it is sensitive to the Lorentz violation due to the noncommutativity of spacetime present in the $\kappa -$deformation. The response function deviates from the thermal distribution of Unruh temperature at the order of $1/\kappa$ and vanishes exponentially as the proper time of the detector exceeds a certain critical time, a logarithmic function of $\kappa$. This suggests that the Unruh temperature becomes not only fuzzy but also eventually decreases to zero in this model.

13 pages, 2 figures

References in corpus (22)

• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Testable scenario for Relativity with minimum-length
• A Gravity Theory on Noncommutative Spaces
• Lorentz invariance and quantum gravity: an additional fine-tuning problem?
• Doubly Special Relativity theories as different bases of $\kappa$--Poincaré algebra
• On the unitarity problem in space/time noncommutative theories
• Introduction to Doubly Special Relativity
• Quantum symmetry, the cosmological constant and Planck scale phenomenology
• Deformed Special Relativity as an effective flat limit of quantum gravity
• Local D=4 Field Theory on $\kappa$--Deformed Minkowski Space
• 2+1 gravity and Doubly Special Relativity
• Noncommutative Differential Calculus on the Kappa-Minkowski Space
• Hopf-algebra description of noncommutative-spacetime symmetries
• Generalized Quantum Relativistic Kinematics: a Stability Point of View
• On the Problem of the Uniformly Accelerated Oscillator
• Scalar field theory on $\kappa$-Minkowski space-time and Doubly Special Relativity
• Unitarity in space-time noncommutative field theories
• Physics of Deformed Special Relativity
• Differential calculi on quantum Minkowski space
• Building a case for a Planck-scale-deformed boost action: the Planck-scale particle-localization limit
• Density fluctuations in $\kappa$-deformed inflationary universe
• Quantum field and uniformly accelerated oscillator

Cited by in corpus (15)

• Covariant realizations of kappa-deformed space
• Fock space, quantum fields and kappa-Poincaré symmetries
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
• Uniformly accelerating observer in $\kappa$-deformed space-time
• Entanglement dynamics in $\kappa$-deformed spacetime
• Scalar Field theory in $\kappa$-Minkowski spacetime from twist
• Hawking radiation in the kappa-spacetime
• Black hole as an Information Eraser
• Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum
• Blackbody radiation in κ-Minkowski spacetime
• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• Quantisation of Klein-Gordon field in $\kappa$ space-time: deformed oscillators and Unruh effect
• Accelerated horizons and Planck-scale kinematics
• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction