"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction tomodern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to moderngeometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective. Very good introductory text on the interplay between geometry and physics INDICE: 1.Geometry.- 1.1.Riemannian and Lorentzian manifolds.- 1.2.Bundlesand connections.- 1.3.Tensors and spinors.- 1.4.Riemann surfaces and moduli spaces.- 1.5.Supermanifolds.- 2.Physics.- 2.1.Classical and quantum physics.- 2.2.Lagrangians.-2.3.Variational aspects.- 2.4.The sigma model.- 2.5.Functionalintegrals.- 2.6.Conformal field theory.- 2.7.String theory.- Bibliography.- Index.
- ISBN: 978-3-642-00540-4
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 230
- Fecha Publicación: 01/05/2009
- Nº Volúmenes: 1
- Idioma: Inglés