MHV Diagrams in Momentum Twistor Space
We show that there are remarkable simplifications when the MHV diagram formalism for N=4 super Yang-Mills is reformulated in momentum twistor space. The vertices are replaced by unity while each propagator becomes a dual superconformal `R-invariant' whose arguments may be read off from the diag...
| Main Authors: | , , |
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| Format: | Journal article |
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2010
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| _version_ | 1797050217856499712 |
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| author | Bullimore, M Mason, L Skinner, D |
| author_facet | Bullimore, M Mason, L Skinner, D |
| author_sort | Bullimore, M |
| collection | OXFORD |
| description | We show that there are remarkable simplifications when the MHV diagram formalism for N=4 super Yang-Mills is reformulated in momentum twistor space. The vertices are replaced by unity while each propagator becomes a dual superconformal `R-invariant' whose arguments may be read off from the diagram. The momentum twistor MHV rules generate a formula for the full, all-loop planar integrand of the super Yang-Mills S-matrix that is manifestly dual superconformally invariant up to the choice of a reference twistor. We give a general proof of this reformulation and illustrate its use by computing the momentum twistor NMHV and NNMHV tree amplitudes and the integrands of the MHV and NMHV 1-loop and the MHV 2-loop planar amplitudes. |
| first_indexed | 2024-03-06T18:01:55Z |
| format | Journal article |
| id | oxford-uuid:000fed3d-d1fd-443c-917b-c7ce886946a5 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:01:55Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:000fed3d-d1fd-443c-917b-c7ce886946a52022-03-26T08:27:32ZMHV Diagrams in Momentum Twistor SpaceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:000fed3d-d1fd-443c-917b-c7ce886946a5Symplectic Elements at Oxford2010Bullimore, MMason, LSkinner, DWe show that there are remarkable simplifications when the MHV diagram formalism for N=4 super Yang-Mills is reformulated in momentum twistor space. The vertices are replaced by unity while each propagator becomes a dual superconformal `R-invariant' whose arguments may be read off from the diagram. The momentum twistor MHV rules generate a formula for the full, all-loop planar integrand of the super Yang-Mills S-matrix that is manifestly dual superconformally invariant up to the choice of a reference twistor. We give a general proof of this reformulation and illustrate its use by computing the momentum twistor NMHV and NNMHV tree amplitudes and the integrands of the MHV and NMHV 1-loop and the MHV 2-loop planar amplitudes. |
| spellingShingle | Bullimore, M Mason, L Skinner, D MHV Diagrams in Momentum Twistor Space |
| title | MHV Diagrams in Momentum Twistor Space |
| title_full | MHV Diagrams in Momentum Twistor Space |
| title_fullStr | MHV Diagrams in Momentum Twistor Space |
| title_full_unstemmed | MHV Diagrams in Momentum Twistor Space |
| title_short | MHV Diagrams in Momentum Twistor Space |
| title_sort | mhv diagrams in momentum twistor space |
| work_keys_str_mv | AT bullimorem mhvdiagramsinmomentumtwistorspace AT masonl mhvdiagramsinmomentumtwistorspace AT skinnerd mhvdiagramsinmomentumtwistorspace |