New perturbation theory for quantum field theory: Convergent series instead of asymptotic expansions
Developing a correct theory of integration in the Hilbert space \(\text{Map }(M,V)\) (\(M\) is a Riemannian or Lorentzian manifold and \(V\) is a finite-dimensional real or complex vector space) the authors suggest a new approach to perturbation theory for quantum theory which is based on convergent series instead of asymptotic expansions. They show that this approach allows to use the obtained information for finding numerical values with high accuracy.
scientific article; zbMATH DE number 1695151