A note on canonical quantization of fields on a manifold

Details A note on canonical quantization of fields on a manifold A note on canonical quantization of fields on a manifold

2008-02-18

arxiv.org/abs/0802.2447v2

JCAP 0902:033,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/1475-7516/2009/02/033

We propose a general construction of quantum states for linear canonical quantum fields on a manifold, which encompasses and generalizes the "standard" procedures existing in textbooks. Our method provides pure and mixed states on the same footing. A large class of examples finds a simple and unified treatment in our approach. Applications discussed here include thermodynamical equilibrium states for Minkowski fields and quantum field theory in the Rindler's and in the open de Sitter universes. Our approach puts the above examples into perspective and unravels new possibilities for quantization. We call our generalization "extended canonical quantization" as it is suited to attack cases not directly covered by the standard canonical approach.

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