Algebraic Renormalization
Piguet, Olivier.
Algebraic Renormalization Perturbative Renormalization, Symmetries and Anomalies / [electronic resource] : by Olivier Piguet, Silvio P. Sorella. - IX, 138 p. online resource. - Lecture Notes in Physics Monographs, 28 0940-7677 ; . - Lecture Notes in Physics Monographs, 28 .
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.
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.
9783540491927
10.1007/978-3-540-49192-7 doi
Quantum theory.
Nuclear physics.
Nuclear fusion.
Algebraic topology.
Quantum Physics.
Quantum Information Technology, Spintronics.
Elementary Particles, Quantum Field Theory.
Nuclear Physics, Heavy Ions, Hadrons.
Nuclear Fusion.
Algebraic Topology.
QC173.96-174.52
530.12
Algebraic Renormalization Perturbative Renormalization, Symmetries and Anomalies / [electronic resource] : by Olivier Piguet, Silvio P. Sorella. - IX, 138 p. online resource. - Lecture Notes in Physics Monographs, 28 0940-7677 ; . - Lecture Notes in Physics Monographs, 28 .
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.
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.
9783540491927
10.1007/978-3-540-49192-7 doi
Quantum theory.
Nuclear physics.
Nuclear fusion.
Algebraic topology.
Quantum Physics.
Quantum Information Technology, Spintronics.
Elementary Particles, Quantum Field Theory.
Nuclear Physics, Heavy Ions, Hadrons.
Nuclear Fusion.
Algebraic Topology.
QC173.96-174.52
530.12