Dimensional regularization and supersymmetry |
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Authors: | L.V. Avdeev A.A. Vladimirov |
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Affiliation: | Joint Institute for Nuclear Research, Dubna, Head Post Office, P.O. Box 79, Moscow 101 000, USSR |
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Abstract: | ![]() We examine in detail the techniques of supersymmetric dimensional regularization. A peculiar complementarity is found to be inherent in the regularization: its manifestly supersymmetric version is contradictory, while the removal of inconsistencies costs a lossof supersymmetry in higher orders. We analyse this phenomenon at the level of Feynman diagrams and discover an explicit example of supersymmetry breakdown in the three-loop approximation. In the light of this result, we reconsider the status of dimensional regularization in globally supersymmetric gauge theories. |
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