  This work develops and applies the concept of mollification in order to
smooth out highly oscillatory exponentials. This idea, known for quite a while
in the mathematical community (mollifiers are a means to smooth distributions),
is new to numerical Quantum Field Theory. It is potentially very useful for
calculating phase transitions [highly oscillatory integrands in general], for
computations with imaginary chemical potentials and Lattice QFT in Minkowski
spacetime.
