Asymptotically safe gravitational form factors are obtained by integrating the proper-time flow to k=0; finite cutoff-independent results with 1/q² UV decay require selecting the non-Gaussian fixed point as UV boundary condition.
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A hard-cutoff scheme for scalar and fermionic QED is constructed that preserves gauge invariance and reproduces the standard Euler-Heisenberg effective action up to cutoff-suppressed periodic corrections.
A minimal proper time τ_min is introduced into QFT to suppress high-energy modes, achieve asymptotic safety via dimensional reduction, and allow a deterministic regime near the Planck scale.