L∞-structure and scattering amplitudes of antisymmetric tensor gauge field theory
We explore the L∞-algebraic structures in antisymmetric tensor gauge field theory, focusing on the construction of a contracting homotopy for the chain map between two distinct L∞-algebras. Utilizing the free Feynman propagators, we establish a quasi-isomorphism between the original L∞-algebra and i...
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| Language: | English |
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Elsevier
2025-09-01
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| Series: | Nuclear Physics B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325002627 |
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| author | Jialiang Dai Wenting Pan Juanjuan Cheng |
| author_facet | Jialiang Dai Wenting Pan Juanjuan Cheng |
| author_sort | Jialiang Dai |
| collection | DOAJ |
| description | We explore the L∞-algebraic structures in antisymmetric tensor gauge field theory, focusing on the construction of a contracting homotopy for the chain map between two distinct L∞-algebras. Utilizing the free Feynman propagators, we establish a quasi-isomorphism between the original L∞-algebra and its minimal model. This construction leads to the recursive relations for the coefficients of Berends-Giele-like currents which are essential in the computations of tree-level scattering amplitudes of tensor gauge fields. Under such framework, we derive the generating functional for all tree-level amplitudes in terms of Maurer-Cartan elements within the minimal model. As an illustration, we carry out the three- and four-point scattering amplitudes in the tensor gauge theory by applying field operators to the Maurer-Cartan action with appropriate boundary conditions. |
| format | Article |
| id | doaj-art-ef37b7c1e92d42e79e8da8a3b55e347d |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-ef37b7c1e92d42e79e8da8a3b55e347d2025-08-20T03:40:45ZengElsevierNuclear Physics B0550-32132025-09-01101811705310.1016/j.nuclphysb.2025.117053L∞-structure and scattering amplitudes of antisymmetric tensor gauge field theoryJialiang Dai0Wenting Pan1Juanjuan Cheng2Corresponding author.; Department of Mathematical Sciences, Zhejiang Sci-Tech University, Hangzhou, 310027, PR ChinaDepartment of Mathematical Sciences, Zhejiang Sci-Tech University, Hangzhou, 310027, PR ChinaDepartment of Mathematical Sciences, Zhejiang Sci-Tech University, Hangzhou, 310027, PR ChinaWe explore the L∞-algebraic structures in antisymmetric tensor gauge field theory, focusing on the construction of a contracting homotopy for the chain map between two distinct L∞-algebras. Utilizing the free Feynman propagators, we establish a quasi-isomorphism between the original L∞-algebra and its minimal model. This construction leads to the recursive relations for the coefficients of Berends-Giele-like currents which are essential in the computations of tree-level scattering amplitudes of tensor gauge fields. Under such framework, we derive the generating functional for all tree-level amplitudes in terms of Maurer-Cartan elements within the minimal model. As an illustration, we carry out the three- and four-point scattering amplitudes in the tensor gauge theory by applying field operators to the Maurer-Cartan action with appropriate boundary conditions.http://www.sciencedirect.com/science/article/pii/S0550321325002627L∞-algebrasContracting homotopyMinimal modelMaurer-Cartan actionPerturbiner expansionsScattering amplitudes |
| spellingShingle | Jialiang Dai Wenting Pan Juanjuan Cheng L∞-structure and scattering amplitudes of antisymmetric tensor gauge field theory Nuclear Physics B L∞-algebras Contracting homotopy Minimal model Maurer-Cartan action Perturbiner expansions Scattering amplitudes |
| title | L∞-structure and scattering amplitudes of antisymmetric tensor gauge field theory |
| title_full | L∞-structure and scattering amplitudes of antisymmetric tensor gauge field theory |
| title_fullStr | L∞-structure and scattering amplitudes of antisymmetric tensor gauge field theory |
| title_full_unstemmed | L∞-structure and scattering amplitudes of antisymmetric tensor gauge field theory |
| title_short | L∞-structure and scattering amplitudes of antisymmetric tensor gauge field theory |
| title_sort | l∞ structure and scattering amplitudes of antisymmetric tensor gauge field theory |
| topic | L∞-algebras Contracting homotopy Minimal model Maurer-Cartan action Perturbiner expansions Scattering amplitudes |
| url | http://www.sciencedirect.com/science/article/pii/S0550321325002627 |
| work_keys_str_mv | AT jialiangdai lstructureandscatteringamplitudesofantisymmetrictensorgaugefieldtheory AT wentingpan lstructureandscatteringamplitudesofantisymmetrictensorgaugefieldtheory AT juanjuancheng lstructureandscatteringamplitudesofantisymmetrictensorgaugefieldtheory |