LEADER 05344nam 22007335 450 001 9910300411203321 005 20200705163150.0 010 $a3-319-09949-3 024 7 $a10.1007/978-3-319-09949-1 035 $a(CKB)3710000000332354 035 $a(EBL)1968040 035 $a(OCoLC)899739231 035 $a(SSID)ssj0001424526 035 $a(PQKBManifestationID)11934332 035 $a(PQKBTitleCode)TC0001424526 035 $a(PQKBWorkID)11369444 035 $a(PQKB)10869134 035 $a(DE-He213)978-3-319-09949-1 035 $a(MiAaPQ)EBC1968040 035 $a(PPN)183520181 035 $a(EXLCZ)993710000000332354 100 $a20150106d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Aspects of Quantum Field Theories /$fedited by Damien Calaque, Thomas Strobl 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (572 p.) 225 1 $aMathematical Physics Studies,$x0921-3767 300 $aDescription based upon print version of record. 311 $a3-319-09948-5 320 $aIncludes bibliographical references and index. 327 $aA derived and homotopical view on field theories, Damien Calaque -- Part I Locality in Perturbative QFTs -- 2 Perturbative algebraic quantum field theory, Klaus Fredenhagen and Katarzyna Rejzner -- Lectures on mathematical aspects of (twisted) supersymmetric gauge theories, Kevin Costello and Claudia Scheimbauer -- 4 Snapshots of Conformal Field Theory, Katrin Wendland -- Part II Chern-Simons Theory -- Faddeev's quantum dilogarithm and state-integrals on shaped triangulations, Jřrgen Ellegaard Andersen and Rinat Kashaev -- 6 A higher stacky perspective on Chern-Simons theory, Domenico Fiorenza, Hisham Sati and Urs Schreiber -- Factorization homology in 3-dimensional topology, Nikita Markarian & Hiro Lee Tanaka -- Manifoldic homology and Chern-Simons formalism (by Nikita Markarian) -- Factorization Homology and Link Invariants (by Hiro Lee Tanaka) -- Deligne-Beilinson cohomology in U(1) Chern-Simons theories, Frank Thuillier -- Part III (Semi-)Classical Field Theories -- Semiclassical quantization of classical field theories, Alberto S. Cattaneo, Pavel Mnev and Nicolai Reshetikhin -- Local BRST cohomology for AKSZ field theories: a global approach, Giuseppe Bonavolontŕ and Alexei Kotov -- Symplectic and Poisson geometry of the moduli spaces of at connections over quilted surfaces, David Li-Bland and Pavol ?evera -- Groupoids, Frobenius algebras and Poisson sigma models, Ivan Contreras -- Part IV Algebraic Aspects of Locality -- Notes on factorization algebras, factorization homology and applications, Grégory Ginot -- Index. 330 $aDespite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed. Both leading experts and comparative newcomers to the field present their latest findings, helping readers to gain a better understanding of not only quantum but also classical field theories. Though the book offers a valuable resource for mathematicians and physicists alike, the focus is more on mathematical developments. This volume consists of four parts: The first Part covers local aspects of perturbative quantum field theory, with an emphasis on the axiomatization of the algebra behind the operator product expansion. The second Part highlights Chern-Simons gauge theories, while the third examines (semi-)classical field theories. In closing, Part 4 addresses factorization homology and factorization algebras. 410 0$aMathematical Physics Studies,$x0921-3767 606 $aQuantum field theory 606 $aString models 606 $aMathematical physics 606 $aPhysics 606 $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aHistory and Philosophical Foundations of Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P29000 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aQuantum field theory. 615 0$aString models. 615 0$aMathematical physics. 615 0$aPhysics. 615 14$aQuantum Field Theories, String Theory. 615 24$aMathematical Physics. 615 24$aHistory and Philosophical Foundations of Physics. 615 24$aMathematical Applications in the Physical Sciences. 676 $a519 676 $a530 676 $a530.01 676 $a530.14 702 $aCalaque$b Damien$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aStrobl$b Thomas$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910300411203321 996 $aMathematical Aspects of Quantum Field Theories$91771625 997 $aUNINA