@inbook{6591bee87b1e43b5bafe21c58f56f5b5,
title = "Diffeomorphism groups in quantum theory and statistical physics",
abstract = "Symmetry groups describe invariances or partial invariances in physical systems under transformations. Locality refers to the association between physical effects and spatial or spacetime regions, with “action at a distance” forbidden. Local symmetry joins these ideas mathematically in the theory of certain infinite-dimensional groups and their representations. This chapter is an extended abstract of lectures by the author, surveying how unitary representations of diffeomorphism groups and the corresponding current algebras provide a unifying framework for understanding or predicting a wide variety of different quantum and statistical systems.",
keywords = "Cocycles, Configuration spaces, Diffeomorphism groups, Infinite-dimensional groups, Locality, Quantum statistics, Quasi-invariant measures, Statistical physics, Symmetry, Unitary representations",
author = "Goldin, {Gerald A.}",
note = "Publisher Copyright: {\textcopyright} 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2020",
doi = "10.1007/978-3-030-53305-2_23",
language = "English (US)",
series = "Trends in Mathematics",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "345--350",
booktitle = "Trends in Mathematics",
address = "Germany",
}