Abstract
Introduction.- A pedagogical introduction to algebraic quantum field on curved spacetimes.- From classical to quantum.- Outline of the cosmological applications.- Algebraic quantum field on curved spacetimes.- Globally hyperbolic spacetimes.- Linear classical fields on curved spacetimes.- Linear quantum fields on curved spacetimes.- Hadamard states.- Locality and general covariance.- The stress-energy tensor and the semiclassical Einstein equation.- Cosmological applications.- A brief introduction to cosmology.- The cosmological expansion in QFT on curved spacetimes.- A birds-eye view of perturbations in Inflation.
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