Quantisation of Klein-Gordon field in $\kappa$ space-time: deformed oscillators and Unruh effect

Abstract

In this paper we study the quantisation of scalar field theory in $\kappa$-deformed space-time. Using a quantisation scheme that use only field equations, we derive the quantisation rules for deformed scalar theory, starting from the $\kappa$-deformed equations of motion. This scheme allows two choices; (i)a deformed commutation relation between the field and its conjugate which leads to usual oscillator algebra, (ii) an undeformed commutation relation between field and its conjugate leading to a deformed oscillator algebra. This deformed oscillator algebra is used to derive modification to Unruh effect in the $\kappa$-space-time.

arXiv comment16 pages

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Cited by in corpus (7)

• Emergence of maximal acceleration from non-commutativity of space-time
• Maximal acceleration in non-commutative space-time and its implications
• $\kappa$-deformed power spectrum and modified Unruh temperature
• Quantisation of Lorentz invariant scalar field theory in non-commutative space-time and its consequence
• Quantisation of $\kappa$-deformed Dirac equation
• Unruh effect using Doppler shift method in DSR framework
• Thermal Casimir effect in $\kappa$-Minkowski space-time