| Description |
1 online resource (94 p.) |
| Series |
SpringerBriefs in Physics |
|
SpringerBriefs in physics.
|
| Contents |
Intro -- 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 |
| Summary |
The purpose of this book is to illustrate some of the most important techniques which are helpful in combinatorial problems when computing quantum effects in covariant theories, like general relativity. In fact, most of the techniques find application also in broader contexts, such as low energy effective (chiral) Lagrangians or even in specific problems in condensed matter. Some of the topics covered are: the background field approach and the heat kernel ideas. The arguments are explained in some detail and the presentation is meant for young researchers and advanced students who are starting working in the field. As prerequisite the reader should have attended a course in quantum field theory including Feynmans path integral. In the Appendix a nontrivial calculation of one-loop divergences in Einstein-Hilbert gravity is explained step-by-step |
| Bibliography |
Includes bibliographical references |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed September 20, 2022) |
| Subject |
Quantum field theory.
|
|
Quantum field theory
|
| Form |
Electronic book
|
| Author |
Anero, Jesús
|
| ISBN |
9783031137266 |
|
3031137264 |
|
9788303113726 |
|
8303113720 |
|
