001449554 000__ 03530cam\a2200481\a\4500 001449554 001__ 1449554 001449554 003__ OCoLC 001449554 005__ 20230310004406.0 001449554 006__ m\\\\\o\\d\\\\\\\\ 001449554 007__ cr\un\nnnunnun 001449554 008__ 220917s2022\\\\sz\\\\\\ob\\\\000\0\eng\d 001449554 020__ $$a9783031137266$$q(electronic bk.) 001449554 020__ $$a3031137264$$q(electronic bk.) 001449554 020__ $$z3031137256 001449554 020__ $$z9783031137259 001449554 0247_ $$a10.1007/978-3-031-13726-6$$2doi 001449554 035__ $$aSP(OCoLC)1344538482 001449554 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dEBLCP$$dOCLCF$$dN$T$$dOCLCQ 001449554 049__ $$aISEA 001449554 050_4 $$aQC174.45 001449554 08204 $$a530.14/3$$223/eng/20220920 001449554 1001_ $$aÁlvarez, Enrique. 001449554 24510 $$aCovariant techniques in quantum field theory/$$cEnrique Álvarez, Jesús Anero. 001449554 260__ $$aCham :$$bSpringer,$$c2022. 001449554 300__ $$a1 online resource (94 p.). 001449554 4901_ $$aSpringerBriefs in Physics 001449554 504__ $$aIncludes bibliographical references. 001449554 5050_ $$aIntro -- Preface -- Contents -- 1 Introduction and Generalities -- 1.1 Gravitation and Quantum Field Theory: The Big Picture -- 1.2 Schwinger's Action Principle and Peierls'brackets -- 1.3 Gravitation and Quantum Field Theory: Poor Man's Approach -- 1.4 Exact Symmetries in Quantum Gravity -- 2 The Background Field Approach in Quantum Field Theory -- 2.1 Gauge Invariance of the One Loop Effective Action -- 3 The One Loop Effective Action -- 3.1 Zeta Function -- 3.2 Heat Kernel -- 3.3 Covariant Perturbation Theory -- 3.4 Flat Space Determinants -- 3.5 The Conformal Anomaly -- 3.6 Vacuum Energy 001449554 5058_ $$a4 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 001449554 506__ $$aAccess limited to authorized users. 001449554 520__ $$aThe 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. 001449554 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 20, 2022). 001449554 650_0 $$aQuantum field theory. 001449554 655_0 $$aElectronic books. 001449554 7001_ $$aAnero, Jesús. 001449554 77608 $$iPrint version:$$aÁlvarez, Enrique$$tCovariant Techniques in Quantum Field Theory$$dCham : Springer International Publishing AG,c2022$$z9783031137259 001449554 830_0 $$aSpringerBriefs in physics. 001449554 852__ $$bebk 001449554 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-13726-6$$zOnline Access$$91397441.1 001449554 909CO $$ooai:library.usi.edu:1449554$$pGLOBAL_SET 001449554 980__ $$aBIB 001449554 980__ $$aEBOOK 001449554 982__ $$aEbook 001449554 983__ $$aOnline 001449554 994__ $$a92$$bISE