Construction and Borel Summability of Infrared Φ\ by a Phase Space Expansion
نویسنده
چکیده
We construct the thermodynamic limit of the critical (massless) φ model in 4 dimensions with an ultraviolet cutoff by means of a "partly renormalized" phase space expansion. This expansion requires in a natural way the introduction of effective or "running" constants, and the infrared asymptotic freedom of the model, i.e. the decay of the running coupling constant, plays a crucial role. We prove also that the correlation functions of the model are the Borel sums of their perturbation expansion.
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