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AbstractAbstract
[en] We classify the physical observables in spontaneously broken non-linearly realized gauge theories in the recently proposed loopwise expansion governed by the Weak Power-Counting (WPC) and the Local Functional Equation. The latter controls the non-trivial quantum deformation of the classical non-linearly realized gauge symmetry, to all orders in the loop expansion. The Batalin-Vilkovisky (BV) formalism is used. We show that the dependence of the vertex functional on the Goldstone fields is obtained via a canonical transformation w.r.t. the BV bracket associated with the BRST symmetry of the model. We also compare the WPC with strict power-counting renormalizability in linearly realized gauge theories. In the case of the electroweak group we find that the tree-level Weinberg relation still holds if power-counting renormalizability is weakened to the WPC condition. (orig.)
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Source
Available from: http://dx.doi.org/10.1140/epjc/s10052-010-1440-1
Record Type
Journal Article
Journal
European Physical Journal. C; ISSN 1434-6044;
; v. 70(1-2); p. 479-489

Country of publication
ALGEBRAIC FIELD THEORY, CANONICAL TRANSFORMATIONS, FEYNMAN DIAGRAM, FUNCTIONAL ANALYSIS, FUNCTIONALS, GOLDSTONE BOSONS, LAGRANGIAN FIELD THEORY, NONLINEAR PROBLEMS, RENORMALIZATION, SCALAR FIELDS, SERIES EXPANSION, SU-2 GROUPS, SYMMETRY BREAKING, U-1 GROUPS, VECTOR FIELDS, VERTEX FUNCTIONS, WEINBERG-SALAM GAUGE MODEL, YANG-MILLS THEORY
AXIOMATIC FIELD THEORY, BOSONS, DIAGRAMS, ELEMENTARY PARTICLES, FIELD THEORIES, FUNCTIONS, INFORMATION, LIE GROUPS, MATHEMATICAL MODELS, MATHEMATICS, PARTICLE MODELS, POSTULATED PARTICLES, QUANTUM FIELD THEORY, SU GROUPS, SYMMETRY GROUPS, TRANSFORMATIONS, U GROUPS, UNIFIED GAUGE MODELS, UNIFIED-FIELD THEORIES
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