Speaker
Description
We study the quantisation of $\kappa$-deformed Dirac field by adopting a quantisation method that uses only equations of motion for quantising the field. Starting from $\kappa$-deformed Dirac equation, valid up to first order in the deformation parameter $a$, we derive deformed unequal time anti-commutation relation between deformed field and its adjoint, leading to an undeformed oscillator algebra. We then derive a deformed oscillator algebra by imposing unequal time anti-commutation relations between $\kappa$-deformed Dirac field and its adjoint to be undeformed. We construct the deformed number operator by calculating conserved charge associated with the global phase transformation symmetry. We show that this deformed number operator has a mass-dependent correction term, which is expected to have experimental significance in particle physics. We also show that charge conjugation is not a symmetry of the Dirac equation in the $\kappa$-deformed space-time.
| Session | Formal Theory |
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