Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum

Abstract

In this paper, we investigate how a uniformly accelerated detector responds to vacuum state of a Dirac field in the $\kappa$-Minkowski space-time. Starting from $\kappa$-deformed Dirac theory, which is invariant under $\kappa$-Poincare algebra, we derive $\kappa$-deformed Wightmann function for Dirac field, which is valid up to first order in the deformation parameter $a$. Using this, we calculate the response function of the uniformly accelerated detector, which is coupled to massless Dirac field in $\kappa$-spacetime. From this, we obtain the modification to Unruh effect for the $\kappa$-deformed Dirac field, valid up to first order in the deformation parameter.

16 pages, to appear in Mod. Phys. Lett. A

References in corpus (18)

• The Unruh effect and its applications
• A Gravity Theory on Noncommutative Spaces
• Kappa-Minkowski space-time and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• Twisted Statistics in kappa-Minkowski Spacetime
• Noncommutative Gravity
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Gauge theories on the kappa-Minkowski spacetime
• Second Order Noncommutative Corrections to Gravity
• A note on the noncommutative correction to gravity
• From noncommutative kappa-Minkowski to Minkowski space-time
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• Noncommutative BTZ Black Hole and Discrete Time
• Noncommutative Two Dimensional Gravities
• Drinfeld Twist and General Relativity with Fuzzy Spaces
• Uniformly accelerating observer in $\kappa$-deformed space-time
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• $\kappa -$Minkowski spacetime and a uniformly accelerating observer

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• Twisted Fermionic Oscillator Algebra in $\kappa$-Minkowski space-time
• $\kappa$-deformed power spectrum and modified Unruh temperature
• Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time
• Unruh effect using Doppler shift method in DSR framework