03872nam 2200517 450 991073698290332120230803202945.09783031219283(electronic bk.)978303121927610.1007/978-3-031-21928-3(MiAaPQ)EBC7246034(Au-PeEL)EBL7246034(DE-He213)978-3-031-21928-3(OCoLC)1378937047(OCoLC)1379191586(PPN)270612971(EXLCZ)992658185250004120230803d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFermions and anomalies in quantum field theories /Loriano Bonora1st ed. 2023.Cham, Switzerland :Springer Nature Switzerland AG,[2023]©20231 online resource (478 pages)Theoretical and Mathematical Physics,1864-5887Print version: Bonora, Loriano Fermions and Anomalies in Quantum Field Theories Cham : Springer,c2023 9783031219276 Includes bibliographical references and index.Part I. Basic tools -- Chapter.1 Fermions -- Chapter 2. Classical and BRST Symmetries -- Chapter 3.Conformal symmetry -- Part II. Anomalies and cohomology -- Chapter 4.Effective actions and anomalies -- Chapter 5.Cohomological analysis of anomalies -- Part III. Perturbative methods for anomalies -- Chapter 6.Feynman diagrams and regularizations -- Chapter 7.Perturbative diffeomorphism and trace anomalies -- Part IV. Nonperturbative methods. (A) heat kernel -- Chapter 8.Functional non-perturbative methods -- Chapter 9.Explicit non-perturbative derivations -- Chapter 10.Metric-axial-tensor (MAT) background -- Part V. Nonperturbative methods. (B) Index theorem -- Chapter 11.Geometry of anomalies -- Chapter 12.Anomalies as obstructions: the Atiyah-Singer family’s index theorem -- Chapter 13.Global anomalies -- Part VI. Special topics -- Chapter 14.MAT in 2d -- Chapter 15.Wess-Zumino terms -- Chapter 16.Sigma model anomalies -- Chapter 17.Anomalies and (super)string theories -- Chapter 18. Literature and further readings.This book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories. The book is targeted to researchers and graduate students.Theoretical and Mathematical Physics,1864-5887FermionsQuantum field theoryFermions.Quantum field theory.539.721Bonora Loriano1381721MiAaPQMiAaPQMiAaPQ9910736982903321Fermions and anomalies in quantum field theories3424572UNINA