Quantisation of κ-Deformed Klein–Gordon Field

Abstract

We study the quantisation of real scalar field satisfying κ-deformed Klein–Gordon equation, valid upto a term. This scheme allows two choices, viz; (i) a deformed unequal time commutation relation between the field and its adjoint which leads to usual oscillator algebra, (ii) an undeformed unequal time commutation relation between field and its adjoint leading to a deformed oscillator algebra. Further we derive deformed conserved currents from κ-deformed Klein–Gordon equation.