Differential Geometry and Mathematical Physics Part II. Fibre Bundles, Topology and Gauge Fields /

• Κύριοι συγγραφείς: Rudolph, Gerd (Συγγραφέας), Schmidt, Matthias (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands : Imprint: Springer, 2017.
• Σειρά: Theoretical and Mathematical Physics,
• Θέματα: Physics.; Algebraic geometry.; Differential geometry.; Algebraic topology.; Mathematical physics.; Elementary particles (Physics).; Quantum field theory.; Mathematical Methods in Physics.; Differential Geometry.; Mathematical Physics.; Algebraic Geometry.; Algebraic Topology.; Elementary Particles, Quantum Field Theory.

The 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 mathemati...

Πίνακας περιεχομένων:

• Fibre 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.