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Semiclassical quantization of classical field theories

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.

Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics
Language:English
Date:2015
Deposited On:21 Jan 2016 12:57
Last Modified:13 Sep 2024 01:37
Publisher:Springer Netherlands
Series Name:Mathematical Physics Studies
ISSN:0921-3767
ISBN:978-3-319-09948-4 (P) 978-3-319-09949-1 (E)
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/978-3-319-09949-1_9
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