论文标题
几何量化:粒子,磁场和字符串
Geometric Quantization: Particles, Fields and Strings
论文作者
论文摘要
这些注释介绍了几何量化方法。我们以适合理论物理学家的样式讨论主要定理,并着眼于物理动机和对几何结构的解释,作为为dirac的量化公理提供解决方案。我们详细提供了使用双场理论的形式主义的自由相对论粒子,它们相应的量子场和骨弦的示例。基于加布里埃尔·卡多索(Gabriel Cardoso)撰写的讲座。
These notes present an introduction to the method of geometric quantization. We discuss the main theorems in a style suitable for a theoretical physicist with an eye towards the physical motivation and the interpretation of the geometric construction as providing a solution to Dirac's axioms of quantization. We provide in detail the examples of free relativistic particles, their corresponding quantum fields, and the bosonic string using formalism of double field theory. Based on lectures written by Gabriel Cardoso.