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Geometric methods for quantum field theory : proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999 /
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, a...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, N.J. :
World Scientific,
©2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- Lectures. Lecture 1: Introduction to differentiable manifolds andsymplectic geometry /Tilmann Wurzbacher
- Lecture 2: Spectral properties of the Dirac operator and geometrical structures / Oussama Hijazi
- Lecture 3: Quantum theory of fermion systems: topics between physics and mathematics / Edwin Langmann
- Lecture 4: Heat equation and spectral geometry. Introduction for beginners / Krzysztof Wojciechowski
- Lecture 5: Renormalized traces as a geometric tool /Sylvie Paycha
- Lecture 6: Concepts in gauge theory leading to electricmagnetic duality / Tsou Sheung Tsun
- Lecture 7: An introduction to Seiberg-Witten theory /Hernan Ocampo
- Short communications. Remarks on duality, analytic torsion and Gaussian integration in antisymmetric field theories / Alexander Cardona
- Multiplicative anomaly for the [symbol]-regularized determinant / Catherine Ducourtioux
- On cohomogeneity one Riemannian manifolds / S.M.B. Kashani
- A differentiable calculus on the space of loops and connections / Martin Reiris
- Quantum Hall conductivity and topological invariants / Andres Reyes
- Determinant of the Dirac operator over the interval [symbol] / Fabian Torres-Ardila.