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.
Quantum Field Theory on Curved Backgrounds
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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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math-ph 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts
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.