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Covariant Techniques in Quantum Field Theory

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Gives a careful exposition of the problems in quantum gravity Provides a useful set of techniques to make QFT computations Clarifies results with detailed calculations

Author(s): Enrique Álvarez; Jesús Anero
Series: SpringerBriefs in Physics
Publisher: Springer
Year: 2022

Language: English
Pages: 93
City: Cham

Preface
Contents
1 Introduction and Generalities
1.1 Gravitation and Quantum Field Theory: The Big Picture
1.2 Schwinger's Action Principle and Peierls'brackets
1.3 Gravitation and Quantum Field Theory: Poor Man's Approach
1.4 Exact Symmetries in Quantum Gravity
2 The Background Field Approach in Quantum Field Theory
2.1 Gauge Invariance of the One Loop Effective Action
3 The One Loop Effective Action
3.1 Zeta Function
3.2 Heat Kernel
3.3 Covariant Perturbation Theory
3.4 Flat Space Determinants
3.5 The Conformal Anomaly
3.6 Vacuum Energy
4 Divergences Out of Schwinger-DeWitt Coefficients
4.1 Coincidence Limits of Covariant Derivatives of the World Function
4.2 Coincidence Limits of Derivatives of the Van Vleck Determinant
4.3 Schwinger-DeWitt Coefficients
4.4 Recursion Relations for the Coefficients of the Short …
Appendix One-Loop Divergences in First Order Einstein–Hilbert Gravity
Appendix References