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Are even exact effective potentials triviality blind?

Authors
Journal
Physics Letters B
0370-2693
Publisher
Elsevier
Publication Date
Volume
262
Identifiers
DOI: 10.1016/0370-2693(91)91569-h

Abstract

Abstract We give renormalizations for λø d+1 4 which lead for any d to rigorous upper and lower bound effective potentials which are finite (apart from a common divergent constant) and interacting. This proves that the corresponding exact effective potential has the same features. As this is known to be wrong for d>3 we conclude that even exact effective potentials can see interaction where there is none. They either have to be further qualified or should be traded for effective actions.

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