
Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes
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"The main intent of this short volume is to provide a largely self-contained and broadly accessible exposition of two cosmological applications of algebraic quantum field theory (QFT) in curved spacetime. . There is a very long reference list at the end of each chapter and the overall impression is that the author transmits a great deal of information about this subject in a brief volume." (Paul F. Bracken, Mathematical Reviews, April, 2016)
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Content
Introduction.- A Pedagogical Introduction to Algebraic Quantum Field Theory on Curved Spacetimes.- Outline of the Cosmological Applications.- Algebraic Quantum Field Theory on Curved Spacetimes.- Globally Hyperbolic Spacetimes and Related Geometric Notions.- Linear Classical Fields on Curved Spacetimes.- Linear Quantum Fields on Curved Spacetimes.- Hadamard States.- Locality and General Covariance.- The Quantum Stress-Energy Tensor and the Semiclassical Einstein equation.- Further Reading.- Cosmological Applications.- A Brief Introduction to Cosmology.- The Cosmological Expansion in QFT on Curved Spacetimes.- A Birds-Eye View of Perturbations in Inflation.- Index.