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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MELON

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.

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A精確的

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.

機(jī)密

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.

言外之意

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.

言外之意

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.

Radiation

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.

宮殿般

虛情假意