Title: A different method in quantum field theory: Strong coupling and the infrared structure of φ4 theory
Abstract: An expansion procedure is defined wherein any process described by quantum field theory is expanded in terms of the number of possible “hard” interactions, with the lowest-order, non- perturbative approximation including all numbers of “soft”, or infrared (IR) interactions. The method can be defined independently in different n-point functions, which necessitates a change of procedure when calculating renormalization effects. Applied λφ44 theory, one finds that the IR structure generates for the renormalization group β-function of the unrenormalized theory β(λ)∣λ⪢1∼−κλ ln2 λ, in contrast to the usual perturbative result β(λ)∣λ⪡1∼+cλ2. The first “hard” correction to the large coupling limit is explicitly shown to leave unchanged this asymptotic form of β.
Publication Year: 1980
Publication Date: 1980-07-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 9
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