Here Γ Γ k ( 2 ) is the second functional derivative of Γ Γ k with respect to the quantum fields Φ Φ at fixed Φ Φ ¯ ¯ . The mode suppression operator R k [ Φ Φ ¯ ¯ ] provides a k -dependent mass-term for fluctuations with covariant momenta p 2 ≪ ≪ k 2 and vanishes for p 2 ≫ ≫ k 2 . Its appearance in the numerator and denominator renders the supertrace ( STr ) both infrared and UV finite, peaking at momenta p 2 ≈ ≈ k 2 . The FRGE is an exact equation without any perturbative approximations. Given an initial condition it determines Γ Γ k for all scales uniquely.