Description
[chair: Simeon Hellerman (Kavli IPMU)]
Correlation functions of scalar field theories from homotopy algebras
When actions are written in terms of homotopy algebras such as A_infinity algebras and L_infinity algebras, expressions of on-shell scattering amplitudes in perturbation theory are universal for both string field theories and ordinary field theories. We thus expect that homotopy algebras can be useful in gaining insights into quantum aspects of string field theories from ordinary field theories. In addition to on-shell scattering amplitudes we find that correlation functions can also be described in terms of homotopy algebras, and in this talk we explain explicit expressions for correlation functions of scalar field theories using quantum A_infinity algebras presented in arXiv:2203.05366. Then we further discuss the application to the renormalization group.
