Year: 1978

Authors: G.Benfatto, M.Cassandro, G.Gallavotti, F.Nicol\`o, E.Olivieri, E.Presutti, E.Scacciatelli

Title: Some probabilistic techniques in field theory
Communication in Mathematical Physics, 59, 143--166, 1978

Abstract: We study, in the context of the Markov hyerarchical fields (d = 2, 3) the role of the Markov property, of formal renormalization and of formal positivity. We determine upper and lower bounds for the ground state energy and discuss their relation with the perturbation theory series.

Key words:  Quantum fields, Constructive field theory, Hierarchical models, Ultraviolet stability, Asymptotic freedom, Perturbation theory