Titlebook: Geometric Approaches to Quantum Field Theory; Kieran Finn Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive licen

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Book 2021tions of the Universe...This publication is aimed at graduate and advanced undergraduate students and provides a pedagogical introduction to the exciting topic of field space covariance and the complete geometrization of quantum field theory..

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978-3-030-85271-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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https://doi.org/10.1007/978-1-4615-6073-9verse cosmology and the motivation behind the theory of inflation, including the classic fine-tuning puzzles known as the horizon, flatness and monopole problems. We will show how inflation purports to solve these puzzles before reviewing the current debate on whether inflation introduces new fine tuning issues of its own.

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Field Space Covariance for Fermionic Theories,ormalism applied just as well to fermionic degrees of freedom, they were unable to explicitly construct the field space manifold and, in particular, made no attempt to define the field space metric for such theories.

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