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Quantisation of Klein–Gordon field in $$\kappa $$ κ space-time: deformed oscillators and Unruh effect
oleh: E. Harikumar, Vishnu Rajagopal
Format: | Article |
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Diterbitkan: | SpringerOpen 2019-09-01 |
Deskripsi
Abstract In this paper we study the quantisation of scalar field theory in $$\kappa $$ κ -deformed space-time. Using a quantisation scheme that use only field equations, we derive the quantisation rules for deformed scalar theory, starting from the $$\kappa $$ κ -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 $$\kappa $$ κ -space-time.