相关于弦论的规范不变自对偶场的Faddeev-Jackiw量子化(英文)

Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory

用Faddeev-Jackiw(FJ)方法对与规范场偶合的规范自对偶场进行了研究,获得了一个新的辛Lagrangian 密度,导出了此系统的FJ广义括号,并对其进行了FJ量子化．进而把FJ方法和Dirac方法进行了比较,发现在对此系统的量子化中,两种方法所给出的量子化结果完全是等价的．通过分析可知FJ方法比Dirac方法要简单, 因FJ方法不需要区分初级约束与次级约束,而且也不需要区分第一类约束和第二类约束．故与Dirac方法相比, FJ方法是一种计算上更为经济和有效的量子化方法．

A new symplectic Lagrangian density and Faddeev-Jackiw （FJ） generalized brackets of the gauge invariant self-dual fields interacting with gauge fields have been obtained and FJ quantization of this system has been presented. Furthermore, the FJ method is compared with Dirac method and the results indicate that the two methods are equivalent in the quantization of this system. After analyzing, it can be found in this paper that the FJ method is really simpler than the Dirac method, namely, the FJ method obviates the need to distinguish primary and secondary constraints and the first- and the second-class constraints. Therefore, the FJ method is a more economical and effective method of quantization.