Discretization of spacetime turns local QFT into a nonlocal theory with a form factor that blocks inverse Wick rotation to Minkowski space unless the continuum limit is taken first.
Smit.Introduction to Quantum Fields on a Lattice(Cambridge: Cambridge Uni- versity Press, 2002)
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Can Euclidean lattice quantum field theory be analytically continued into Minkowski space?
Discretization of spacetime turns local QFT into a nonlocal theory with a form factor that blocks inverse Wick rotation to Minkowski space unless the continuum limit is taken first.