Fr. 120.00

Geometric and Topological Methods for Quantum Field Theory

English · Hardback

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Informationen zum Autor Hernán Ocampo is a Professor of Theoretical Physics at the University del Valle, Colombia. Eddy Pariguán is an Associate Professor in Mathematics at the University La Javeriana, Colombia. Sylvie Paycha is a Professor of Mathematics at the University Blaise Pascal, France. Klappentext An introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. Zusammenfassung Aimed at graduate students in physics and mathematics! this book provides an introduction to recent developments in several active topics! including geometric topology! quantum cohomology and noncommutative geometry. It also explores a wide spectrum of topics on the borderline of mathematics and physics. Inhaltsverzeichnis Introduction; 1. The impact of QFT on low-dimensional topology Paul Kirk; 2. Differential equations aspects of quantum cohomology Martin A. Guest; 3. Index theory and groupoids Claire Debord and Jean-Marie Lescure; 4. Renormalization Hopf algebras and combinatorial groups Alessandra Frabetti; 5. BRS invariance for massive boson fields José M. Gracia-Bondía; 6. Large N field theories and geometry David Berenstein; 7. Functional renormalization group equations, asymptotic safety, and quantum Einstein gravity Martin Reuter and Frank Saueressig; 8. When is a differentiable manifold the boundary of an orbifold? Andrés Angel; 9. Canonical group quantization, rotation generators and quantum indistinguishability Carlos Benavides and Andrés Reyes-Lega; 10. Conserved currents in Kähler manifolds Jaime R. Camacaro and Juan Carlos Moreno; 11. A symmetrized canonical determinant on odd-class pseudodifferential operators Marie-Françoise Ouedraogo; 12. Some remarks about cosymplectic metrics on maximal flag manifolds Marlio Paredes and Sofia Pinzón; 13. Heisenberg modules over real multiplication noncommutative tori and related algebraic structures Jorge Plazas; Index....

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