Φ4Φ^4 theory is trivial

preprint2015arXivOpen access

Abstract

We prove that the Φ4Φ^4 theory is trivial for any values of the bare coupling constant λλ thus extending previous results referring to very strong couplings to the full range of values for this parameter. The method is based on all order properties of the partition and two point functions in the path integral formalism.

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