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CCR- versus CAR-quantization on curved spacetimes. (English) Zbl 1250.81073

Finster, Felix (ed.) et al., Quantum field theory and gravity. Conceptual and mathematical advances in the search for a unified framework. Papers based on the presentations at the conference, Regensburg, Germany, September 28 to October 1, 2010. Berlin: Springer (ISBN 978-3-0348-0042-6/hbk; 978-3-0348-0043-3/ebook). 183-206 (2012).
Summary: We provide a systematic construction of bosonic and fermionic locally covariant quantum field theories on curved backgrounds for large classes of free fields. It turns out that bosonic quantization is possible under much more general assumptions than fermionic quantization.
For the entire collection see [Zbl 1234.81017].

MSC:

81T20 Quantum field theory on curved space or space-time backgrounds
58J45 Hyperbolic equations on manifolds
35L40 First-order hyperbolic systems
81T70 Quantization in field theory; cohomological methods
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