Geometric Methods for Quantum Field Theory

Description

Both 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, Sieberg-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 betwen 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 mathematical and physical concepts and results. This volume introduces the reader to some basic mathematical and physical tools and methods required to follow the recent developments in some active areas of mathematical physics, including duality, gauge field theory, geometric quantization, Sieberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups. It comprises seven self-contained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants and the school.

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1. Ebooks list page : 1988
2. Non-Perturbative Methods in 2 Dimensional Quantum Field Theory
3. Methods of Quantum Field Theory in Statistical Physics
4. R. J. Rivers - Path Integral Methods in Quantum Field Theory
5. Spectral Methods in Quantum Field Theory (Lecture Notes in Physics)
6. Cargese lectures in physics, vol.5. Pade approximant methods in quantum field theory
7. Mathematical Methods of Many-Body Quantum Field Theory (Research Notes in Mathematics Series)
8. Methods of Bosonic and Fermionic Path Integrals Representations: Continuum Random Geometry in Quantum Field Theory
9. Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems
10. [share_ebook] Quantum Field Theory II: Quantum Electrodynamics: A Bridge between Mathematicians and Physicists
11. V.A. Fock - Selected Works: Quantum Mechanics and Quantum Field Theory
12. V.A. Fock - Selected Works: Quantum Mechanics and Quantum Field Theory
13. Quantum Field Theory II: Quantum Electrodynamics: A Bridge between Mathematicians and Physicists
14. Geometric And Algebraic Topological Methods In Quantum Mechanics
15. How Is Quantum Field Theory Possible?
16. How Is Quantum Field Theory Possible?