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We consider the $\mathcal{PT}$-symmetric quantum field theory on thenoncommutative spacetime with angular twist and construct its pseudo-Hermitianinterpretation. We explore the differences between internal and spatialparities in the context of the angular twist and for the latter we find new$\mathcal{PT}$-symmetric interactions that are nontrivial only for thenoncommutative spacetime. We reproduce the same formula for the leading order$T$-matrix of the equivalent Hermitian model as the one obtained earlier forthe quantum field theory on the commutative spacetime. This formula impliesthat the leading order scattering amplitude preserves the symmetries of thenoncommutative geometry if they are not broken in the non-Hermitianformulation.

$\mathcal{PT}$-symmetric quantum field theory on the noncommutative spacetime