https://doi.org/10.1140/epjc/s10052-019-7246-x
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
* e-mail: harisp@uohyd.ernet.in
Received:
13
May
2019
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
