Classical double copy of spinning worldline quantum field theory
Abstract We study the classical double copy of massive spinning objects in the worldline quantum field theories (WQFT) formalism. We couple the N $$ \mathcal{N} $$ = 1 supersymmetric model to a Yang-Mills background to describe the propagation of a spin-half particle interacting with gluons. At the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)008 |
| _version_ | 1797769723176288256 |
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| author | Francesco Comberiati Canxin Shi |
| author_facet | Francesco Comberiati Canxin Shi |
| author_sort | Francesco Comberiati |
| collection | DOAJ |
| description | Abstract We study the classical double copy of massive spinning objects in the worldline quantum field theories (WQFT) formalism. We couple the N $$ \mathcal{N} $$ = 1 supersymmetric model to a Yang-Mills background to describe the propagation of a spin-half particle interacting with gluons. At the classical level, this model captures physical effects up to linear order in spin. We propose a double copy relation to map the spin tensors to the gravitation side. Enforcing R-symmetry and supersymmetry (SUSY) on the double copy integrands, we find that the gravitational theory is the N $$ \mathcal{N} $$ = 2 particle coupled to dilaton-gravity (DG). We check the double copy prescription for the eikonal phase up to next-to-leading order and for radiation at leading order in coupling constants, finding that the Grassmann nature of the spin tensor in WQFT plays a crucial role in finding full agreement with direct calculation in the N $$ \mathcal{N} $$ = 2 model. We show how to deform the SUSY charges of the free theory to include DG. Since the constraints algebra is first class, the worldline model can be quantized, describing the propagation of a massive vector field coupled to DG, in agreement with the literature. In addition, we investigate the double copy without preserving SUSY and R-symmetry, finding that the B-field also couples to the worldline. |
| first_indexed | 2024-03-12T21:12:07Z |
| format | Article |
| id | doaj.art-928e28cb0cea499084cdeff2aa7b1450 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:12:07Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-928e28cb0cea499084cdeff2aa7b14502023-07-30T11:05:02ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023413710.1007/JHEP04(2023)008Classical double copy of spinning worldline quantum field theoryFrancesco Comberiati0Canxin Shi1Dipartimento di Fisica e Astronomia “Augusto Righi”, Università di Bologna and INFN Sezione di BolognaInstitut für Physik und IRIS Adlershof, Humboldt-Universität zu BerlinAbstract We study the classical double copy of massive spinning objects in the worldline quantum field theories (WQFT) formalism. We couple the N $$ \mathcal{N} $$ = 1 supersymmetric model to a Yang-Mills background to describe the propagation of a spin-half particle interacting with gluons. At the classical level, this model captures physical effects up to linear order in spin. We propose a double copy relation to map the spin tensors to the gravitation side. Enforcing R-symmetry and supersymmetry (SUSY) on the double copy integrands, we find that the gravitational theory is the N $$ \mathcal{N} $$ = 2 particle coupled to dilaton-gravity (DG). We check the double copy prescription for the eikonal phase up to next-to-leading order and for radiation at leading order in coupling constants, finding that the Grassmann nature of the spin tensor in WQFT plays a crucial role in finding full agreement with direct calculation in the N $$ \mathcal{N} $$ = 2 model. We show how to deform the SUSY charges of the free theory to include DG. Since the constraints algebra is first class, the worldline model can be quantized, describing the propagation of a massive vector field coupled to DG, in agreement with the literature. In addition, we investigate the double copy without preserving SUSY and R-symmetry, finding that the B-field also couples to the worldline.https://doi.org/10.1007/JHEP04(2023)008Black HolesClassical Theories of GravityExtended SupersymmetryEffective Field Theories |
| spellingShingle | Francesco Comberiati Canxin Shi Classical double copy of spinning worldline quantum field theory Journal of High Energy Physics Black Holes Classical Theories of Gravity Extended Supersymmetry Effective Field Theories |
| title | Classical double copy of spinning worldline quantum field theory |
| title_full | Classical double copy of spinning worldline quantum field theory |
| title_fullStr | Classical double copy of spinning worldline quantum field theory |
| title_full_unstemmed | Classical double copy of spinning worldline quantum field theory |
| title_short | Classical double copy of spinning worldline quantum field theory |
| title_sort | classical double copy of spinning worldline quantum field theory |
| topic | Black Holes Classical Theories of Gravity Extended Supersymmetry Effective Field Theories |
| url | https://doi.org/10.1007/JHEP04(2023)008 |
| work_keys_str_mv | AT francescocomberiati classicaldoublecopyofspinningworldlinequantumfieldtheory AT canxinshi classicaldoublecopyofspinningworldlinequantumfieldtheory |