NSBL-QF-009 Divergence-Free Versus Cutoff Quantum Field Theory
We review the fundamental rules for constructing the regular and the gauge-invariant quantum field action both in the divergence-free approach and in the cutoff approach. Loop computations in quantum electrodynamics of fermionic spinor matter, and also in quantum gravity of fermionic spinor matter, are presented in both approaches. We explain how the results of the divergence-free method correspond to those of the cutoff method. We argue that in a fundamental theory that contains quantum gravity, the cutoff framework might be necessary, whereby the cutoff parameter and the gravitational coupling could be related to each other quite consistently.
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