Unruh effect using Doppler shift method in DSR framework

Abstract

We study the Unruh effect in doubly special relativity (DSR) framework by generalising the Doppler-shift method to DSR. For both the scalar and Dirac particles, we observe a deviation in the power spectrum of Unruh radiation from the standard Bose-Einstein and Fermi-Dirac distributions, respectively, due to the presence of the frame independent length scale of DSR. We further show that this deviation results in the modification of Unruh temperature which then depends non-linearly on the proper acceleration in DSR.

References in corpus (28)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• The quantum structure of spacetime at the Planck scale and quantum fields
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Testable scenario for Relativity with minimum-length
• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Minimal Length Scale Scenarios for Quantum Gravity
• Doubly Special Relativity
• Doubly Special Relativity theories as different bases of $\kappa$--Poincaré algebra
• Introduction to Doubly Special Relativity
• Quantum $\kappa$-Poincare in Any Dimensions
• De Sitter space as an arena for Doubly Special Relativity
• Doubly Special Relativity and de Sitter space
• New realizations of Lie algebra kappa-deformed Euclidean space
• Modified Unruh effect from Generalized Uncertainty Principle
• Covariant realizations of kappa-deformed space
• Simplified derivation of the Hawking-Unruh temperature for an accelerated observer in vacuum
• Electrodynamics of a Generalized Charged Particle in Doubly Special Relativity Framework
• Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework
• Unruh effect of nonlocal field theories with a minimal length
• Hawking radiation in the kappa-spacetime
• Non-commutative effects on gravitational measurements
• Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum
• Quantisation of Klein-Gordon field in $\kappa$ space-time: deformed oscillators and Unruh effect
• $\kappa$--Rindler space
• Gravity in Extreme Regions Based on Noncommutative Quantization of Teleparallel Gravity
• $\kappa$-deformed power spectrum and modified Unruh temperature