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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-09-01
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| Series: | Nuclear Physics B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325002627 |
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| Summary: | 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. |
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| ISSN: | 0550-3213 |