On quantum L-infinity algebras for the BV-BRST formalism:
Branislav Jurčo, Tommaso Macrelli, Christian Sämann, Martin Wolf, Loop Amplitudes and Quantum Homotopy Algebras, Journal of High Energy Physics 2020 3 (2020) [doi:10.1007/JHEP07(2020)003, arXiv:1912.06695]
Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf, Perturbative Quantum Field Theory and Homotopy Algebras, PoS (CORFU2019) 199 [arXiv:2002.11168, doi:10.22323/1.376.0199]
On the classical double copy (KLT relations, relating gravity to Yang-Mills theory) via -algebras:
Extending double copy construction from tree level to loop level:
We show that the double copy of gauge theory amplitudes to N=0 supergravity amplitudes extends from tree level to loop level. We first explain that color-kinematics duality is a condition for the Becchi-Rouet-Stora-Tyutin operator and the action of a field theory with cubic interaction terms to double copy to a consistent gauge theory. We then apply this argument to Yang-Mills theory, where color-kinematics duality is known to be satisfied on shell at the tree level. Finally, we show that the latter restriction can only lead to terms that can be absorbed in a sequence of field redefinitions, rendering the double copied action equivalent to N=0 supergravity.
Last revised on January 14, 2023 at 08:16:15. See the history of this page for a list of all contributions to it.