Authors: G.Benfatto, M.Cassandro, G.Gallavotti, F.Nicol\`o, E.Olivieri, E.Presutti, E.Scacciatelli
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.
Quantum fields, Constructive field theory, Hierarchical models,
Ultraviolet stability, Asymptotic freedom, Perturbation theory