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arXiv · 0901.2063

Quantum Field Theory on Curved Backgrounds

Romeo Brunetti·Klaus Fredenhagen
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Abstract

We review the status of (scalar) quantum field theory on curved spacetimes using a novel formulation in terms of non linear functionals over the smooth configuration fields. In particular, this entails also a new foundation of locally covariant classical field theory. For all that, methods from microlocal analysis combined with some methods from global analysis, namely differentiation on locally convex spaces, and category theory are crucially employed.

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Romeo Brunetti, Klaus Fredenhagen. 2009-01-14. Quantum Field Theory on Curved Backgrounds. https://doi.org/10.1007/978-3-642-02780-2_5

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