Quartic mass matrix and renormalization constants in supersymmetric Yang-Mills theories |
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Authors: | R. Barbieri S. Ferrara L. Maiani F. Palumbo C.A. Savoy |
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Affiliation: | 1. Scuola Normale Superiore, Pisa, Italy;2. INFN, Sezione di Pisa, Pisa, Italy;3. Università di Roma, Rome, Italy;4. INFN, Sezione di Roma, Rome, Italy |
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Abstract: | We derive the general formula for the supertrace of the quartic mass matrix in a general supersymmetric gauge theory, with arbitrary representations for the chiral multiplets. This formula clarifies the non-renormalization theorems in presence of gauge interactions and gives “extended renormalization theorems” for N = 2 and N = 4 supersymmetric Yang-Mills theories. In particular we find the known result that gren = gbare for the N = 4 theory and the new result mren = mbare for the N = 2 gauge interactions of massive hypermultiplets. We give arguments to the extent that the latter non-renormalization theorem persists to all orders in perturbation theory. |
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