The L ∞ structure of gauge theories with matter
| dc.contributor.author | Gomez, Humberto | |
| dc.contributor.author | Jusinskas, Renann Lipinski | |
| dc.contributor.author | Lopez Arcos, Cristhiam | |
| dc.contributor.author | Quintero Vélez, Alexander | |
| dc.date.accessioned | 2025-07-28T20:06:55Z | |
| dc.date.available | 2025-07-28T20:06:55Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this work we present an algebraic approach to the dynamics and perturbation theory at tree-level for gauge theories coupled to matter. The field theories we will consider are: Chern-Simons-Matter, Quantum Chromodynamics, and scalar Quantum Chromodynamics. Starting with the construction of the master action in the classical Batalin-Vilkovisky formalism, we will extract the L∞-algebra that allow us to recursively calculate the perturbiner expansion from its minimal model. The Maurer-Cartan action obtained in this procedure will then motivate a generating function for all the tree-level scattering amplitudes. There are two interesting outcomes of this construction: a generator for fully-flavoured amplitudes via a localisation on Dyck words; and closed expressions for fermion and scalar lines attached to n-gluons with arbitrary polarisations. | |
| dc.identifier.citation | Gomez, H., Jusinskas, R. L., Lopez-Arcos, C., & Vélez, A. Q. (2021). The L ∞ structure of gauge theories with matter. Journal of High Energy Physics, 2021(2). https://doi.org/10.1007/JHEP02(2021)093 | |
| dc.identifier.issn | 10298479 | |
| dc.identifier.uri | https://repositorio.usc.edu.co/handle/20.500.12421/7667 | |
| dc.language.iso | en | |
| dc.subject | BRST Quantization | |
| dc.subject | Differential and Algebraic Geometry | |
| dc.subject | Scattering Amplitudes | |
| dc.title | The L ∞ structure of gauge theories with matter | |
| dc.type | Article |