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Charges and Symmetries in Quantum Theories without Locality
Author(s) -
Wreszinski Walter F.
Publication year - 1987
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.2190350502
Subject(s) - theoretical physics , locality , physics , causality (physics) , quantum , lattice (music) , gauge theory , quantum mechanics , homogeneous space , mathematics , philosophy , linguistics , acoustics , geometry
We review some rigorous results (and include some new ones) on charges, symmetry breaking and related concepts in quantum theories without locality (micro‐causality), relevant examples of which are quantum lattice systems, (nonrelativistic) many‐body and lattice gauge theories. In particular, Goldstone's theorem and its generalizations (involving long‐range forces) and Swieca's theorem on the connection between the absence of charged states and the existence of a mass gap are discussed.