Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame
Abstract Using the Cachazo-He-Yuan (CHY) formalism, we prove a recursive expansion of tree level single trace Einstein-Yang-Mills (EYM) amplitudes with an arbitrary number of gluons and gravitons, which is valid for general spacetime dimensions and any helicity configurations. The recursion is writt...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2017)075 |
| _version_ | 1818846671060074496 |
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| author | Fei Teng Bo Feng |
| author_facet | Fei Teng Bo Feng |
| author_sort | Fei Teng |
| collection | DOAJ |
| description | Abstract Using the Cachazo-He-Yuan (CHY) formalism, we prove a recursive expansion of tree level single trace Einstein-Yang-Mills (EYM) amplitudes with an arbitrary number of gluons and gravitons, which is valid for general spacetime dimensions and any helicity configurations. The recursion is written in terms of fewer-graviton EYM amplitudes and pure Yang-Mills (YM) amplitudes, which can be further carried out until we reach an expansion in terms of pure YM amplitudes in Kleiss-Kuijf (KK) basis. Our expansion then generates naturally a spanning tree structure rooted on gluons whose vertices are gravitons. We further propose a set of graph theoretical rules based on spanning trees that evaluate directly the pure YM expansion coefficients. |
| first_indexed | 2024-12-19T05:49:15Z |
| format | Article |
| id | doaj.art-749e4ec80bc54049a197a3bf3f6ee6cd |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T05:49:15Z |
| publishDate | 2017-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-749e4ec80bc54049a197a3bf3f6ee6cd2022-12-21T20:33:41ZengSpringerOpenJournal of High Energy Physics1029-84792017-05-012017513710.1007/JHEP05(2017)075Expanding Einstein-Yang-Mills by Yang-Mills in CHY frameFei Teng0Bo Feng1Department of Physics and Astronomy, University of UtahZhejiang Institute of Modern Physics, Department of Physics, Zhejiang UniversityAbstract Using the Cachazo-He-Yuan (CHY) formalism, we prove a recursive expansion of tree level single trace Einstein-Yang-Mills (EYM) amplitudes with an arbitrary number of gluons and gravitons, which is valid for general spacetime dimensions and any helicity configurations. The recursion is written in terms of fewer-graviton EYM amplitudes and pure Yang-Mills (YM) amplitudes, which can be further carried out until we reach an expansion in terms of pure YM amplitudes in Kleiss-Kuijf (KK) basis. Our expansion then generates naturally a spanning tree structure rooted on gluons whose vertices are gravitons. We further propose a set of graph theoretical rules based on spanning trees that evaluate directly the pure YM expansion coefficients.http://link.springer.com/article/10.1007/JHEP05(2017)075Scattering AmplitudesGauge Symmetry |
| spellingShingle | Fei Teng Bo Feng Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame Journal of High Energy Physics Scattering Amplitudes Gauge Symmetry |
| title | Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame |
| title_full | Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame |
| title_fullStr | Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame |
| title_full_unstemmed | Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame |
| title_short | Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame |
| title_sort | expanding einstein yang mills by yang mills in chy frame |
| topic | Scattering Amplitudes Gauge Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP05(2017)075 |
| work_keys_str_mv | AT feiteng expandingeinsteinyangmillsbyyangmillsinchyframe AT bofeng expandingeinsteinyangmillsbyyangmillsinchyframe |