Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin
Published 2013-11-11Version 1
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.
Comments: Based on the Les Houches lectures given by authors in February 2012
Lie Groupoids in Classical Field Theory I: Noether's Theorem
Algebraic Structure of Classical Field Theory: Kinematics and Linearized Dynamics for Real Scalar Fields
Non-existence of natural states for Abelian Chern-Simons theory
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