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Titlebook: Covariant Techniques in Quantum Field Theory; Enrique Álvarez,Jesús Anero Book 2022 The Author(s), under exclusive license to Springer Nat

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发表于 2025-3-21 16:52:56 | 显示全部楼层 |阅读模式
书目名称Covariant Techniques in Quantum Field Theory
编辑Enrique Álvarez,Jesús Anero
视频video
概述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
丛书名称SpringerBriefs in Physics
图书封面Titlebook: Covariant Techniques in Quantum Field Theory;  Enrique Álvarez,Jesús Anero Book 2022 The Author(s), under exclusive license to Springer Nat
描述.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 Feynman’s path integral. In the Appendix a nontrivial calculation of one-loop divergences in Einstein-Hilbert gravity is explained step-by-step..
出版日期Book 2022
关键词Quantum Field Theory in Curved Spacetime; One Loop Computation; Heat Kernel Approach; Zeta Function Reg
版次1
doihttps://doi.org/10.1007/978-3-031-13726-6
isbn_softcover978-3-031-13725-9
isbn_ebook978-3-031-13726-6Series ISSN 2191-5423 Series E-ISSN 2191-5431
issn_series 2191-5423
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2022
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发表于 2025-3-21 21:22:48 | 显示全部楼层
Irene Jung Fiala Ph.D. SociologyDeWitt’s background field approach to gauge theories is reviewed. This approach guarantees that the effective action is gauge invariant. This point is discussed in some detail.
发表于 2025-3-22 00:59:36 | 显示全部楼层
发表于 2025-3-22 04:52:04 | 显示全部楼层
Helena Carreiras Ph.D.,Gerhard KümmelA detailed account is presented of DeWitt’s computation of the small proper time expansion of the heat kernel corresponding to the covariant laplacian (a.k.a. d’Alembertian). Some useful recursion relations discovered by Gilkey are also reviewed.
发表于 2025-3-22 10:29:21 | 显示全部楼层
Introduction and Generalities,After some introduction on the difficulties of constructing a Quantum Field Theory of General Relativity (or a General Relativistic Quantum Field Theory) we briefly mention Schwinger’s action principle and Peierls’ brackets as the starting principle of any covariant approach to a QFT.
发表于 2025-3-22 16:15:39 | 显示全部楼层
The Background Field Approach in Quantum Field Theory,DeWitt’s background field approach to gauge theories is reviewed. This approach guarantees that the effective action is gauge invariant. This point is discussed in some detail.
发表于 2025-3-22 21:05:13 | 显示全部楼层
The One Loop Effective Action,In this section some useful techniques are presented that help in the computation of the one loop effective action. The zeta function approach as well as heat kernel techniques are reviewed. Some examples of physical applications are included: the conformal anomaly and the vacuum energy.
发表于 2025-3-23 00:47:12 | 显示全部楼层
Divergences Out of Schwinger-DeWitt Coefficients,A detailed account is presented of DeWitt’s computation of the small proper time expansion of the heat kernel corresponding to the covariant laplacian (a.k.a. d’Alembertian). Some useful recursion relations discovered by Gilkey are also reviewed.
发表于 2025-3-23 02:53:26 | 显示全部楼层
发表于 2025-3-23 09:37:06 | 显示全部楼层
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