Abstract
Differences of divergent n-dimensional Feynman integrals that are equivalent up to their shifts of integration variables are calculated without using Feynman parameters or symmetric-integration formulae. Nonzero values for such differences are obtained when n = 4 for linearly, quadratically, and cubically divergent Feynman integrals. Such differences are also shown to have a discontinuity in n at n = 4. Explicit values for the surface terms and for the magnitudes of the discontinuities at n = 4 are shown to agree with earlier calculations.
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