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Local Operator Products and Field Equations in P (φ) 2 Theories
Author(s) -
Schrader Robert
Publication year - 1974
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19740221102
Subject(s) - measure (data warehouse) , operator (biology) , euclidean geometry , mathematics , field (mathematics) , coupling constant , mathematical analysis , point (geometry) , field theory (psychology) , pure mathematics , mathematical physics , physics , quantum mechanics , geometry , chemistry , computer science , biochemistry , repressor , database , transcription factor , gene
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.