LEADER 03634nam 2200685Ia 450 001 9910965587003321 005 20251116231634.0 010 $a9786611956257 010 $a9781281956255 010 $a1281956252 010 $a9789812810571 010 $a9812810579 035 $a(CKB)1000000000538095 035 $a(EBL)1681051 035 $a(SSID)ssj0000162023 035 $a(PQKBManifestationID)11153366 035 $a(PQKBTitleCode)TC0000162023 035 $a(PQKBWorkID)10199878 035 $a(PQKB)11247264 035 $a(MiAaPQ)EBC1681051 035 $a(WSP)00004461 035 $a(Au-PeEL)EBL1681051 035 $a(CaPaEBR)ebr10255823 035 $a(CaONFJC)MIL195625 035 $a(OCoLC)815755930 035 $a(Perlego)848618 035 $a(EXLCZ)991000000000538095 100 $a20010918d2001 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aGeometric methods for quantum field theory $eproceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 /$feditors, Hernan Ocampo, Sylvie Paycha, Andres Reyes 205 $a1st ed. 210 $aSingapore ;$aRiver Edge, N.J. $cWorld Scientific$dc2001 215 $a1 online resource (530 p.) 300 $aDescription based upon print version of record. 311 08$a9789810243517 311 08$a9810243510 320 $aIncludes bibliographical references. 327 $aIntroduction; CONTENTS; Lectures; Lecture 1: Introduction to differentiable manifolds and symplectic geometry; Lecture 2: Spectral properties of the Dirac operator and geometrical structures; Lecture 3: Quantum theory of fermion systems: Topics between physics and mathematics; Lecture 4: Heat equation and spectral geometry. Introduction for beginners; Lecture 5: Renormalized traces as a geometric tool; Lecture 6: Concepts in gauge theory leading to electric-magnetic duality; Lecture 7: An introduction to Seiberg-Witten theory; Short Communications 327 $aRemarks on duality analytic torsion and gaussian integration in antisymmetric field theoriesMultiplicative anomaly for the C-regularized determinant; On cohomogeneity one Riemannian manifolds; A differentiable calculus on the space of loops and connections; Quantum Hall conductivity and topological invariants; Determinant of the Dirac operator over the interval [0 B] 330 $aBoth mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Seiberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline between geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathe 517 3 $aProceedings of the summer school, geometric methods for quantum field theory 606 $aQuantum field theory$vCongresses 606 $aField theory (Physics)$vCongresses 615 0$aQuantum field theory 615 0$aField theory (Physics) 676 $a530.143 701 $aOcampo$b Hernan$01891628 701 $aPaycha$b Sylvie$0521630 701 $aReyes$b Andre?s$01891629 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910965587003321 996 $aGeometric methods for quantum field theory$94535260 997 $aUNINA