001467930 000__ 04611cam\\22006137i\4500 001467930 001__ 1467930 001467930 003__ OCoLC 001467930 005__ 20230707003346.0 001467930 006__ m\\\\\o\\d\\\\\\\\ 001467930 007__ cr\cn\nnnunnun 001467930 008__ 230516s2023\\\\sz\a\\\\ob\\\\001\0\eng\d 001467930 019__ $$a1378429500$$a1378937047 001467930 020__ $$a9783031219283$$q(electronic bk.) 001467930 020__ $$a3031219287$$q(electronic bk.) 001467930 020__ $$z9783031219276 001467930 020__ $$z3031219279 001467930 0247_ $$a10.1007/978-3-031-21928-3$$2doi 001467930 035__ $$aSP(OCoLC)1379191586 001467930 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dYDX 001467930 049__ $$aISEA 001467930 050_4 $$aQC793.5.F42 001467930 08204 $$a539.7/21$$223/eng/20230516 001467930 1001_ $$aBonora, L.,$$eauthor.$$1https://isni.org/isni/000000003192109X 001467930 24510 $$aFermions and anomalies in quantum field theories /$$cL. Bonora. 001467930 264_1 $$aCham :$$bSpringer,$$c2023. 001467930 300__ $$a1 online resource (434 pages) :$$billustrations (black and white). 001467930 336__ $$atext$$btxt$$2rdacontent 001467930 337__ $$acomputer$$bc$$2rdamedia 001467930 338__ $$aonline resource$$bcr$$2rdacarrier 001467930 4901_ $$aTheoretical and mathematical physics 001467930 504__ $$aIncludes bibliographical references and index. 001467930 5050_ $$aPart I. Basic tools -- Chapter.1 Fermions -- Chapter 2. Classical and BRST Symmetries -- Chapter 3.Conformal symmetry -- Part II. Anomalies and cohomology -- Chapter 4.Eective actions and anomalies -- Chapter 5.Cohomological analysis of anomalies -- Part III. Perturbative methods for anomalies -- Chapter 6.Feynman diagrams and regularizations -- Chapter 7.Perturbative dieomorphism 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 familys 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. 001467930 506__ $$aAccess limited to authorized users. 001467930 520__ $$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. 001467930 588__ $$aDescription based on print version record. 001467930 650_0 $$aFermions. 001467930 650_0 $$aQuantum field theory. 001467930 655_0 $$aElectronic books. 001467930 77608 $$iPrint version:$$aBonora, L.$$tFermions and anomalies in quantum field theories.$$dCham : Springer Nature Switzerland, 2023$$z9783031219276$$w(OCoLC)1368272541 001467930 830_0 $$aTheoretical and mathematical physics (Springer (Firm)) 001467930 852__ $$bebk 001467930 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-21928-3$$zOnline Access$$91397441.1 001467930 909CO $$ooai:library.usi.edu:1467930$$pGLOBAL_SET 001467930 980__ $$aBIB 001467930 980__ $$aEBOOK 001467930 982__ $$aEbook 001467930 983__ $$aOnline 001467930 994__ $$a92$$bISE