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Local Operator Products and Field Equations in P(φ)2 Theories

✍ Scribed by Robert Schrader

Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
967 KB
Volume
22
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

In P(φ)~2~ theories with small coupling constants, local fields exist which are obtained from normal ordering of Euclidean fields. Normal ordering with respect to the free measure and the physical measure leads to the same family of fields. The coefficients of the two resulting field equations are related by a fixed point problem. Conditions are exhibited under which there is a unique solution.

📜 SIMILAR VOLUMES

1N expansion, composite field formalism
1N expansion, composite field formalism and renormalization in (φ2)33 field theory
✍ Ragnheidur Gudmundsdottir; Gunnar Rydnell; Per Salomonsson 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 604 KB

U(N) symmetric three-dimensional (I$')~ theory is studied in the l/N expansion, using quantum field theory techniques. An effective action containing the composite operator +2 is used. It is shown to be renormalizable in each order of the l/N expansion. The lirst two orders are considered. A vacuum