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arXiv 0709.4392hep-th
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共形全对称任意自旋玻色子场的常导数形式

Ordinary-derivative formulation of conformal totally symmetric arbitrary spin bosonic fields

R. R. Metsaev

摘要:

研究了大于或等于4的偶数维平坦时空中的共形全对称任意自旋玻色子场。二阶导数(常导数)制定这样的领域。我们得到了规范不变的拉格朗日量和相应的规范变换。规范对称性是通过涉及施图克尔伯格场和辅助场来实现的。在共形规范场上实现了整体共形boost对称性。介绍了修正的德唐德规范条件和德唐德-施图克尔伯格规范条件。使用de Donder-Stueckelberg规范框架,证明了普通导数和高阶导数方法的等价性。分析了任意自旋共形场的壳自由度。还提出了共形场的常导数光锥规范拉格朗日量。讨论了共形场的常导数规范不变公式与有质量场的规范不变公式之间的相互关系。

英文摘要:

Conformal totally symmetric arbitrary spin bosonic fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative (ordinary-derivative) formulation for such fields is developed. We obtain gauge invariant Lagrangian and the corresponding gauge transformations. Gauge symmetries are realized by involving the Stueckelberg and auxiliary fields. Realization of global conformal boost symmetries on conformal gauge fields is obtained. Modified de Donder gauge condition and de Donder-Stueckelberg gauge condition are introduced. Using the de Donder-Stueckelberg gauge frame, equivalence of the ordinary-derivative and higher-derivative approaches is demonstrated. On-shell degrees of freedom of the arbitrary spin conformal field are analyzed. Ordinary-derivative light-cone gauge Lagrangian of conformal fields is also presented. Interrelations between the ordinary-derivative gauge invariant formulation of conformal fields and the gauge invariant formulation of massive fields are discussed.

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