nLab Tommaso Macrelli

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Selected writings

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 $L_\infty$-algebras:

• Leron Borsten, Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf, Double copy from homotopy algebras, Fortschritte der Physik, 69 8-9 (2021) 2100075 $[$arXiv:2102.11390, doi:10.1002/prop.202100075$]$

Extending double copy construction from tree level to loop level:

• Leron Borsten, Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf, Becchi-Rouet-Stora-Tyutin-Lagrangian double copy of Yang-Mills theory, Phys. Rev. Lett. 126 (2021) 191601 [doi:10.1103/PhysRevLett.126.191601]

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.

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