Amplitudes of 3d Yang Mills Theory
This paper studies various properties of amplitudes in 3d super Yang Mills theory. First we explain how to obtain the amplitudes of 3d super Yang Mills theories from 4d super Yang Mills theories and obtain their helicity structure. Next, we use a 3d BFCW recursion relation to show that the tree ampl...
| Main Authors: | , |
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| Format: | Journal article |
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2012
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| _version_ | 1797080356020551680 |
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| author | Lipstein, A Mason, L |
| author_facet | Lipstein, A Mason, L |
| author_sort | Lipstein, A |
| collection | OXFORD |
| description | This paper studies various properties of amplitudes in 3d super Yang Mills theory. First we explain how to obtain the amplitudes of 3d super Yang Mills theories from 4d super Yang Mills theories and obtain their helicity structure. Next, we use a 3d BFCW recursion relation to show that the tree amplitudes and loop integrands of maximal 3d super Yang Mills have dual conformal covariance (although not invariance, so that the amplitudes themselves are not dual conformal). Finally, we argue that the one-loop amplitudes of maximal 3d super Yang-Mills can be reduced to scalar box diagrams and evaluate these diagrams using dimensional regularization. We find that the one-loop MHV amplitudes vanish and the one-loop non-MHV amplitudes are finite. |
| first_indexed | 2024-03-07T00:58:50Z |
| format | Journal article |
| id | oxford-uuid:8904dfe2-efc4-4965-a340-311fa64e4e52 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:58:50Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:8904dfe2-efc4-4965-a340-311fa64e4e522022-03-26T22:21:35ZAmplitudes of 3d Yang Mills TheoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8904dfe2-efc4-4965-a340-311fa64e4e52Symplectic Elements at Oxford2012Lipstein, AMason, LThis paper studies various properties of amplitudes in 3d super Yang Mills theory. First we explain how to obtain the amplitudes of 3d super Yang Mills theories from 4d super Yang Mills theories and obtain their helicity structure. Next, we use a 3d BFCW recursion relation to show that the tree amplitudes and loop integrands of maximal 3d super Yang Mills have dual conformal covariance (although not invariance, so that the amplitudes themselves are not dual conformal). Finally, we argue that the one-loop amplitudes of maximal 3d super Yang-Mills can be reduced to scalar box diagrams and evaluate these diagrams using dimensional regularization. We find that the one-loop MHV amplitudes vanish and the one-loop non-MHV amplitudes are finite. |
| spellingShingle | Lipstein, A Mason, L Amplitudes of 3d Yang Mills Theory |
| title | Amplitudes of 3d Yang Mills Theory |
| title_full | Amplitudes of 3d Yang Mills Theory |
| title_fullStr | Amplitudes of 3d Yang Mills Theory |
| title_full_unstemmed | Amplitudes of 3d Yang Mills Theory |
| title_short | Amplitudes of 3d Yang Mills Theory |
| title_sort | amplitudes of 3d yang mills theory |
| work_keys_str_mv | AT lipsteina amplitudesof3dyangmillstheory AT masonl amplitudesof3dyangmillstheory |