  The descripition of in a Hermitian setting seemingly nonlocal and
nonperturbative phenomena like confinement or superconductivity is most
conveniently performed by generalizing quantum theory to a non-Hermitian regime
where these phenomena appear perturbative and local. The short presentation
provides a clue how this can be done on the basis of Lorentz covariance while
preserving the analyticity of the theory. After deriving with the help of
Lorentz covariance a quantum scalar product without making any use of metric or
complex conjugation we sketch how the formalism of scattering theory can be
extended analytically to a non-Hermitian regime.
