4 papers
Perturbative Quantum Field Theory and Homotopy Algebras
Branislav Jurco, Hyungrok Kim, Tommaso Macrelli +2
We review the homotopy algebraic perspective on perturbative quantum field theory: classical field theories correspond to homotopy algebras such as - and -algeb…
Loop Amplitudes and Quantum Homotopy Algebras
Branislav Jurco, Tommaso Macrelli, Christian Saemann +1
We derive a recursion relation for loop-level scattering amplitudes of Lagrangian field theories that generalises the tree-level Berends-Giele recursion relation in Yang-Mills theo…
-Algebras, the BV Formalism, and Classical Fields
Branislav Jurco, Tommaso Macrelli, Lorenzo Raspollini +2
We summarise some of our recent works on -algebras and quasi-groups with regard to higher principal bundles and their applications in twistor theory and gauge theory. In…
Scattering Amplitude Recursion Relations in BV Quantisable Theories
Tommaso Macrelli, Christian Saemann, Martin Wolf
Tree-level scattering amplitudes in Yang-Mills theory satisfy a recursion relation due to Berends and Giele which yields e.g. the famous Parke-Taylor formula for MHV amplitudes. We…