Regular Article - Theoretical Physics
Quantisation of Klein–Gordon field in space-time: deformed oscillators and Unruh effect
School of Physics, University of Hyderabad, Central University P.O, Hyderabad, Telangana, 500046, India
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Accepted: 25 August 2019
Published online: 3 September 2019
In this paper we study the quantisation of scalar field theory in -deformed space-time. Using a quantisation scheme that use only field equations, we derive the quantisation rules for deformed scalar theory, starting from the -deformed equations of motion. This scheme allows two choices; (1) a deformed commutation relation between the field and its conjugate which leads to usual oscillator algebra, (2) 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 -space-time.
© The Author(s), 2019