TY - BOOK AU - Piguet,Olivier AU - Sorella,Silvio P. ED - SpringerLink (Online service) TI - Algebraic Renormalization: Perturbative Renormalization, Symmetries and Anomalies T2 - Lecture Notes in Physics Monographs, SN - 9783540491927 PY - 1995/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Physics KW - Algebraic topology KW - Quantum theory KW - Quantum computing KW - Nuclear physics KW - Nuclear fusion KW - Quantum Physics KW - Quantum Computing, Information and Physics KW - Elementary Particles, Quantum Field Theory KW - Nuclear Physics, Heavy Ions, Hadrons KW - Nuclear Fusion KW - Algebraic Topology N1 - Renormalized Perturbation Theory -- Quantum Action Principle and Ward Identities -- Yang-Mills Gauge Theories -- BRS Cohomology and Descent Equations -- Nonrenormalization Theorems -- Topological Field Theories -- The Bosonic String N2 - This book provides a pedagogical and self-contained introduction to the algebraic method of renormalization in perturbative quantum field theory. This method is based on general theorems of renormalization, in particular on the quantum action principle. It allows us to treat the problems of the renormalizability and the anomalies of models with local or global symmetries in terms of the algebraic properties of classical field polynomials. Several examples (e.g. topological models) are considered in some detail. One of the main advantages of this method, beyond its simplicity, is its great power, because no particular subtraction or regularization scheme preserving the symmetries of the problem is a priori required UR - http://dx.doi.org/10.1007/978-3-540-49192-7 ER -