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The covariant regularization of the contributions of fundamental particles tothe vacuum energy density is implemented in the Pauli-Villars, dimensionalregularization, and Feynman regulator frameworks. Rules of correspondencebetween dimensional regularization and cutoff calculations are discussed.Invoking the scale invariance of free field theories in the massless limit, aswell as consistency with the rules of correspondence, it is argued that quarticdivergencies are absent in the case of free fields, while it is shown that theyarise when interactions are present.Comment: 28 pages, 5 figure

Considerations concerning the contributionsof fundamental particles to the vacuum energy density