The L-infinity structure of gauge theories with matter

0547422 - FZÚ 2022 RIV US eng J - Journal Article
Gomez, H. - Jusinskas, Renann Lipinski - Lopez-Arcos, C. - Velez, A.Q.
The L-infinity structure of gauge theories with matter.
Journal of High Energy Physics. Roč. 2021, č. 2 (2021), č. článku 93. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR GJ19-06342Y
Institutional support: RVO:68378271
Keywords : BRST quantization * differential and algebraic geometry * scattering amplitudes
OECD category: Particles and field physics
Impact factor: 6.376, year: 2021
Method of publishing: Open access

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.
Permanent Link: http://hdl.handle.net/11104/0323660