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Quantum Field Theory on Curved Backgrounds

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arxiv 0901.2063 v1 pith:DIJ67TCJ submitted 2009-01-14 gr-qc hep-thmath-phmath.MP

classification gr-qchep-thmath-phmath.MP
keywords theoryfieldanalysiscurvedlocallymethodsquantumbackgrounds
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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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  1. Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts

    math-ph 2019-08 unverdicted

    An expository paper explaining how spacetime and matter can be encoded in a measure on operators and how gravity and quantum theory could emerge from a single action principle.

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