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Semiclassical quantization of classical field theories - Zurich Open Repository and Archive


Cattaneo, Alberto S; Mnev, Pavel; Reshetikhin, Nicolai (2015). Semiclassical quantization of classical field theories. In: Calaque, Damien; Strobl, Thomas. Mathematical aspects of quantum field theories. Cham: Springer Netherlands, 275-324.

Abstract

These lectures are an introduction to formal semiclassical quantization of classical field theory. First, we develop the Hamiltonian formalism for classical field theories on space time with boundary. It does not have to be a cylinder as in the usual Hamiltonian framework. Then we outline formal semiclassical quantization in the finite dimensional case. Towards the end we give an example of such a quantization in the case of abelian Chern-Simons theory.

Abstract

These lectures are an introduction to formal semiclassical quantization of classical field theory. First, we develop the Hamiltonian formalism for classical field theories on space time with boundary. It does not have to be a cylinder as in the usual Hamiltonian framework. Then we outline formal semiclassical quantization in the finite dimensional case. Towards the end we give an example of such a quantization in the case of abelian Chern-Simons theory.

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Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2015
Deposited On:21 Jan 2016 12:57
Last Modified:05 Apr 2016 19:19
Publisher:Springer Netherlands
Series Name:Mathematical Physics Studies
ISSN:0921-3767
ISBN:978-3-319-09948-4 (P) 978-3-319-09949-1 (E)
Publisher DOI:https://doi.org/10.1007/978-3-319-09949-1_9
Related URLs:http://www.recherche-portal.ch/ZAD:default_scope:ebi01_prod010393626 (Library Catalogue)

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