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Quantum Field Theory on Curved Spacetimes: Concepts and Mathematical Foundations by Klaus Fredenhagen, Christian Bar (Hardcover, 2009)

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ISBN-13: 9783642027796, 978-3642027796. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes.