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000780401 019__ $$a984855057
000780401 020__ $$a9789402409598$$q(electronic book)
000780401 020__ $$a9402409599$$q(electronic book)
000780401 020__ $$z9789402409581
000780401 0247_ $$a10.1007/978-94-024-0959-8$$2doi
000780401 035__ $$aSP(OCoLC)ocn979416683
000780401 035__ $$aSP(OCoLC)979416683$$z(OCoLC)984855057
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000780401 049__ $$aISEA
000780401 050_4 $$aQC20.7.D52
000780401 08204 $$a530.15$$223
000780401 1001_ $$aRudolph, Gerd,$$eauthor.
000780401 24510 $$aDifferential geometry and mathematical physics.$$nPart II,$$pFibre bundles, topology and gauge fields /$$cGerd Rudolph, Matthias Schmidt.
000780401 24630 $$aFibre bundles, topology and gauge fields
000780401 264_1 $$aDordrecht, the Netherlands :$$bSpringer,$$c2017.
000780401 300__ $$a1 online resource.
000780401 336__ $$atext$$btxt$$2rdacontent
000780401 337__ $$acomputer$$bc$$2rdamedia
000780401 338__ $$aonline resource$$bcr$$2rdacarrier
000780401 347__ $$atext file$$bPDF$$2rda
000780401 4901_ $$aTheoretical and mathematical physics
000780401 504__ $$aIncludes bibliographical references and index.
000780401 5050_ $$aFibre bundles and connections -- Linear connections and Riemannian geometry -- Homotopy theory of principal fibre bundles. Classification -- Cohomology theory of fibre bundles. Characteristic classes -- Clifford algebras, spin structures and Dirac operators -- The Yang-Mills equation -- Matter fields and model building -- The gauge orbit space -- Elements of quantum gauge theory -- A Field restriction and field extension -- B The Conformal Group of the 4-sphere -- C Simple Lie algebras. Root diagrams -- D z -function regularization -- E K-theory and index bundles -- F Determinant line bundles -- G Eilenberg-MacLane spaces -- References. Index.
000780401 506__ $$aAccess limited to authorized users.
000780401 520__ $$aThe book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:- Geometry and topology of fibre bundles,- Clifford algebras, spin structures and Dirac operators,- Gauge theory.Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory.The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces.Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of various models with matter fields (including magnetic monopoles, the Seiberg-Witten model and dimensional reduction) and the investigation of the structure of the gauge orbit space. The final chapter is devoted to elements of quantum gauge theory including the discussion of the Gribov problem, anomalies and the implementation of the non-generic gauge orbit strata in the framework of Hamiltonian lattice gauge theory.The book is addressed both to physicists and mathematicians. It is intended to be accessible to students starting from a graduate level.
000780401 588__ $$aVendor-supplied metadata.
000780401 650_0 $$aGeometry, Differential.
000780401 650_0 $$aMathematical physics.
000780401 650_0 $$aGauge fields (Physics)
000780401 650_0 $$aFiber bundles (Mathematics)
000780401 650_0 $$aTopology.
000780401 7001_ $$aSchmidt, Matthias$$c(Physicist),$$eauthor.
000780401 77608 $$iPrint version:$$z9789402409581
000780401 830_0 $$aTheoretical and mathematical physics (Springer (Firm))
000780401 852__ $$bebk
000780401 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-94-024-0959-8$$zOnline Access$$91397441.1
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000780401 980__ $$aEBOOK
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000780401 983__ $$aOnline
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