Quantisation of Lorentz invariant scalar field theory in non-commutative space-time and its consequence

Quantisation of Lorentz invariant scalar field theory in Doplicher-Fredenhagen-Roberts (DFR) space-time, a invariant, non-commutative space-time is studied. We use an approach to quantisation that based on the equations motion alone and derive equal time commutation relation between Doplicher-Fredenhagen-Roberts-Amorim (DFRA) its conjugate, which has dependent modifications, but corresponding creation annihilation operators obey usual algebra. show imposing condition conjugate same as commutative leads deformation algebra quantised oscillators. Both these deformed relations derived are valid all orders parameter. By analysing first non-vanishing terms ? 3 order, we scale 1 / ? 4 , where length set by non-commutativity space-time. also conserved currents for DFRA field. Further, analyse effects Unruh effect detector coupled field, showing temperature not modified thermal radiation seen accelerated observer gets correction due