On Gauge-Invariant Entire-Function Regulators and UV Finiteness in NonLocal Quantum Field Theory
This article demonstrates that the implementation of gauge-invariant regulators as entire functions of the covariant Laplace–Beltrami operator within the framework of the background field method induces an exponential ultraviolet damping in loop integrals without introducing new singularities, thereby providing a rigorous gauge-covariant justification for ultraviolet finiteness in nonlocal quantum field theories.