LEADER 03872nam 2200517 450 001 9910736982903321 005 20230803202945.0 010 $a9783031219283$b(electronic bk.) 010 $z9783031219276 024 7 $a10.1007/978-3-031-21928-3 035 $a(MiAaPQ)EBC7246034 035 $a(Au-PeEL)EBL7246034 035 $a(DE-He213)978-3-031-21928-3 035 $a(OCoLC)1378937047 035 $a(OCoLC)1379191586 035 $a(PPN)270612971 035 $a(EXLCZ)9926581852500041 100 $a20230803d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFermions and anomalies in quantum field theories /$fLoriano Bonora 205 $a1st ed. 2023. 210 1$aCham, Switzerland :$cSpringer Nature Switzerland AG,$d[2023] 210 4$dİ2023 215 $a1 online resource (478 pages) 225 1 $aTheoretical and Mathematical Physics,$x1864-5887 311 08$aPrint version: Bonora, Loriano Fermions and Anomalies in Quantum Field Theories Cham : Springer,c2023 9783031219276 320 $aIncludes bibliographical references and index. 327 $aPart I. Basic tools -- Chapter.1 Fermions -- Chapter 2. Classical and BRST Symmetries -- Chapter 3.Conformal symmetry -- Part II. Anomalies and cohomology -- Chapter 4.E?ective actions and anomalies -- Chapter 5.Cohomological analysis of anomalies -- Part III. Perturbative methods for anomalies -- Chapter 6.Feynman diagrams and regularizations -- Chapter 7.Perturbative di?eomorphism 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. 330 $aThis book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories. The book is targeted to researchers and graduate students. 410 0$aTheoretical and Mathematical Physics,$x1864-5887 606 $aFermions 606 $aQuantum field theory 615 0$aFermions. 615 0$aQuantum field theory. 676 $a539.721 700 $aBonora$b Loriano$01381721 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910736982903321 996 $aFermions and anomalies in quantum field theories$93424572 997 $aUNINA