Uniformly accelerating observer in $\kappa$-deformed space-time

Abstract

In this paper, we study the effect of $\kappa$-deformation of the space-time on the response function of a uniformly accelerating detector coupled to a scalar field. Starting with $\kappa$-deformed Klein-Gordon theory, which is invariant under a $\kappa$-Poincaré algebra and written in commutative space-time, we derive $\kappa$-deformed Wightman functions, valid up to second order in the deformation parameter $a$. Using this, we show that the first non-vanishing correction to the Unruh thermal distribution is only in the second order in $a$. We also discuss various other possible sources of $a$-dependent corrections to this thermal distribution.

12 pages, minor changes, to appear in Phys. Rev. D

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Cited by in corpus (14)

• Modified Dispersion Relation, Photon's Velocity, and Unruh Effect
• Effects of Noncommutativity on the Black Hole Entropy
• Entanglement dynamics in $\kappa$-deformed spacetime
• Unruh effect of nonlocal field theories with a minimal length
• Hawking radiation in the kappa-spacetime
• Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum
• 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
• Time-space noncommutativity and Casimir effect
• Accelerated horizons and Planck-scale kinematics
• Effect of Non-commutativity of space-time on Thermodynamics of Photon gas
• Twisted Fermionic Oscillator Algebra in $\kappa$-Minkowski space-time
• Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time
• Effect of Noncommutativity of Space-time on Zitterbewegung