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Scattering in pseudo-Hermitian quantum field theory and causality violation

Scattering in pseudo-Hermitian quantum field theory and causality violation

The non-Hermitian but $\mathcal{PT}$-symmetric quantum field theories are known to have a pseudo-Hermitian interpretation. However the corresponding intertwining operator happens to be nonlocal that raises the question to what extent this nonlocality affects observable quantities. We consider the case when the intrinsic parity of the interaction terms is determined by …