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Anomalies and the Quantum Theory of Chiral Matter on a Line
Author(s) -
Link Robert
Publication year - 1991
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190390503
Subject(s) - bosonization , physics , quantization (signal processing) , canonical quantization , boson , quantum field theory , gauge theory , theoretical physics , mathematical physics , path integral formulation , quantum gravity , quantum , quantum mechanics , mathematics , fermion , algorithm
We review aspects of anomalies in quantum field theory, mainly the canonical quantization of anomalous gauge theories in two spacetime dimensions. This includes the unitary, Lorentz invariant quantization of the chiral Schwinger model; and quantization of nonabelian chiral bosons, described by a generalization of the Siegel action, away from “critical dimension”. Bosonization of chiral theories in background gauge and gravitational fields is extensively discussed via path integral methods.