Study of phi-4 theories with deep learning methods*

Field theories find wide applications from characterization of scattering processes in particle physics, to analysis of statistical models, to description of critical phenomena in condensed matter. One key problem in using field theories is to perform non-perturbative calculations, which is crucial in various places, but has remained an open question. In this talk I will present our recent work combining field theoretical and deep learning methods to systematically account for non-perturbative aspects. In calculating Green’s functions, nonperturbative Feynmann diagrams are automatically taken into account in our approach. I will present applications of this new approach to phi-4 field theories in one and two dimensions. Our approach potentially offers a generic solver for nonperturbative field theory calculations, of relevance to a broad context.