Infrared and ultraviolet behaviour of effective scalar field theory
Journal Article
·
· Annals of Physics (New York)
- CERN, Geneve (Switzerland)
- Rutherford Appleton Lab., Oxon (United Kingdom)
We consider the infrared and ultraviolet behaviour of the effective quantum field theory of a single Z{sub 2} symmetric scalar field. In a previous paper we proved to all orders in perturbation theory the renormalizability of massive effective scalar field theory using Wilson`s exact renormalization group equation. Here we show that away from exceptional momenta the massless theory is similarly renormalizable, and we prove detailed bounds on Green`s functions as arbitrary combinations of exceptional Euclidean momenta are approached. As a corollary we also Weinberg`s Theorem for the massive effective theory, n the form of bounds on Green`s functions at Euclidean momenta much greater than the particle mass but below the naturalness scale of theory. 12 refs.
- OSTI ID:
- 110903
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 241; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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