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arXiv 1902.05685hep-th
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大质量高自旋场的最小规范不变量和规范固定作用量

Minimal gauge invariant and gauge fixed actions for massive higher-spin fields

Masako Asano

摘要:

受协变弦场论丰富结构的启发,我们提出了一般大质量整数自旋n场的最小规范不变作用量。该作用量由四个分别为n、n-1、n-2和n-3阶的全对称张量场组成,并且在由两个也是全对称的n-1和n-2阶场表示的规范变换下是不变的。这种作用量与弦场论的规范结构完全相同,我们利用弦场论的知识讨论了一般协变规范固定过程。对于每一个一般协变的规范固定条件,我们明确地构造了相应的规范固定作用量。

英文摘要:

Inspired by the rich structure of covariant string field theory, we propose a minimal gauge invariant action for general massive integer spin n field. The action consists of four totally symmetric tensor fields of order respectively n, n-1, n-2 and n-3, and is invariant under the gauge transformation represented by two also totally symmetric fields of order n-1 and n-2. This action exactly has the same gauge structure as for the string field theory and we discuss general covariant gauge fixing procedure using the knowledge of string field theory. We explicitly construct the corresponding gauge fixed action for each of general covariant gauge fixing conditions.

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