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High Energy Physics - Theory, hep-th,High Energy Physics - Phenomenology, hep-ph
Abstract:
The momentum UV cutoff in Quantum Field Theory is usually treated as an
auxiliary device allowing to obtain finite amplitudes satisfying all physical
requirements. It is even absent (not explicit) in the most popular approach -
the dimensional regularization. We point out that the momentum cutoff treated
as a bona fide physical scale, presumably equal or related to the Planck scale,
would lead to unacceptable predictions. One of the dangers is a non-zero mass
of the photon. In the naive approach, even with the cutoff equal to the Planck
scale, this mass would grossly exceed the existing experimental bounds. We
present the actual calculation using a concrete realization of the physical
cutoff and speculate about the way to restore gauge symmetry order by order in
the inverse powers of the cutoff scale.