In flat space, an entire-function regulator F(□/M^2) acts as the multiplicative Euclidean form factor e^{-p_E^2/M^2} on plane waves, yielding exponential UV damping; this known nonlocal-QFT result is re-derived and discussed.
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On Gauge-Invariant Entire-Function Regulators and UV Finiteness in NonLocal Quantum Field Theory
In flat space, an entire-function regulator F(□/M^2) acts as the multiplicative Euclidean form factor e^{-p_E^2/M^2} on plane waves, yielding exponential UV damping; this known nonlocal-QFT result is re-derived and discussed.