Loop Amplitudes and Quantum Homotopy Algebras
Abstract We derive a recursion relation for loop-level scattering amplitudes of La- grangian field theories that generalises the tree-level Berends-Giele recursion relation in Yang-Mills theory. The origin of this recursion relation is the homological perturbation lemma, which allows us to compute s...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2020)003 |
| _version_ | 1818458464401227776 |
|---|---|
| author | Branislav Jurčo Tommaso Macrelli Christian Sämann Martin Wolf |
| author_facet | Branislav Jurčo Tommaso Macrelli Christian Sämann Martin Wolf |
| author_sort | Branislav Jurčo |
| collection | DOAJ |
| description | Abstract We derive a recursion relation for loop-level scattering amplitudes of La- grangian field theories that generalises the tree-level Berends-Giele recursion relation in Yang-Mills theory. The origin of this recursion relation is the homological perturbation lemma, which allows us to compute scattering amplitudes from minimal models of quantum homotopy algebras in a recursive way. As an application of our techniques, we give an alternative proof of the relation between non-planar and planar colour-stripped scattering amplitudes. |
| first_indexed | 2024-12-14T22:58:52Z |
| format | Article |
| id | doaj.art-c332e5aab1154d27ad999a1187aa7a7f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T22:58:52Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c332e5aab1154d27ad999a1187aa7a7f2022-12-21T22:44:31ZengSpringerOpenJournal of High Energy Physics1029-84792020-07-012020711610.1007/JHEP07(2020)003Loop Amplitudes and Quantum Homotopy AlgebrasBranislav Jurčo0Tommaso Macrelli1Christian Sämann2Martin Wolf3Charles University Prague, Faculty of Mathematics and Physics, Mathematical InstituteDepartment of Mathematics, University of SurreyMaxwell Institute for Mathematical Sciences, Department of Mathematics, Heriot-Watt UniversityDepartment of Mathematics, University of SurreyAbstract We derive a recursion relation for loop-level scattering amplitudes of La- grangian field theories that generalises the tree-level Berends-Giele recursion relation in Yang-Mills theory. The origin of this recursion relation is the homological perturbation lemma, which allows us to compute scattering amplitudes from minimal models of quantum homotopy algebras in a recursive way. As an application of our techniques, we give an alternative proof of the relation between non-planar and planar colour-stripped scattering amplitudes.http://link.springer.com/article/10.1007/JHEP07(2020)003Scattering AmplitudesBRST QuantizationGauge Symmetry |
| spellingShingle | Branislav Jurčo Tommaso Macrelli Christian Sämann Martin Wolf Loop Amplitudes and Quantum Homotopy Algebras Journal of High Energy Physics Scattering Amplitudes BRST Quantization Gauge Symmetry |
| title | Loop Amplitudes and Quantum Homotopy Algebras |
| title_full | Loop Amplitudes and Quantum Homotopy Algebras |
| title_fullStr | Loop Amplitudes and Quantum Homotopy Algebras |
| title_full_unstemmed | Loop Amplitudes and Quantum Homotopy Algebras |
| title_short | Loop Amplitudes and Quantum Homotopy Algebras |
| title_sort | loop amplitudes and quantum homotopy algebras |
| topic | Scattering Amplitudes BRST Quantization Gauge Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP07(2020)003 |
| work_keys_str_mv | AT branislavjurco loopamplitudesandquantumhomotopyalgebras AT tommasomacrelli loopamplitudesandquantumhomotopyalgebras AT christiansamann loopamplitudesandquantumhomotopyalgebras AT martinwolf loopamplitudesandquantumhomotopyalgebras |