Quantum-Field Multiloop Calculations in Critical Dynamics

The quantum-field renormalization group method is one of the most efficient and powerful tools for studying critical scaling phenomena in interacting many-particle systems. multiloop Feynman diagrams underpin specific implementation program. In recent years, computation has had a significant breakthrough both static dynamic models behavior. paper, we focus on state-of-the-art computational techniques results obtained with their help. generic nature evaluated physical observables wide class field manifested asymptotic character perturbation expansions. Thus, Borel resummation series required to process results. Such procedure also enables take high-order contributions into consideration properly. paper outlines framework circumstances which it can be useful. An important criterion properties higher-order asymptotics theory. theories, these are determined by instanton analysis. A similar approach applicable dynamics models. We describe calculation dynamical present corresponding resummation.