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Explicit counteraction algorithms in higher dimensions |
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| Authors: | A.E.M. van de Ven |
| Affiliation: | Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, Long Island, New York, 11794, USA |
| Abstract: | Using the background field method we construct algorithms for the one-loop counterterms of a field theory in a space-time of dimension 2, 4, 6, 8 or 10. From the d = 6 algorithm we demonstrate the one-loop finiteness of N = 2 supersymmetric Yang-Mills theories and also N = 1 Yang-Mills theory. All other N = 1 Yang-Mills theories + N = 1 matter theories in d = 6 are shown to have a divergent one-loop S-matrix. We also present partial results for two- and three-loop algorithms in d = 6 and d = 4 respectively. |
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