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arXiv 1502.00452hep-th
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无质量高自旋场与几何背景相互作用的模型

A model for massless higher spin field interacting with a geometrical background

Giuseppe Bandelloni

摘要:

本文研究了一个描述无质量高自旋$N$对称张量场粒子与几何背景相互作用动力学的非常一般的四维场论模型,该模型在推广的线性同态作用下是不变的.我们调查的一致性的运动方程,并提取的最高自旋自由度通过一组协变约束。此外,最高自旋运动方程(以及一般所有最高自旋场1-PI不可约格林函数)在由一组$N-2$ Ward算子引起的变换链下是不变的,而辅助场运动方程破坏了这种对称性。在代数场论的基础上讨论了该模型量子扩展的第一步,技术方面在附录中报告,特别是其中一个专门说明自旋- $2$的情况。

英文摘要:

We study a very general four dimensional Field Theory model describing the dynamics of a massless higher spin $N$ symmetric tensor field particle interacting with a geometrical background.This model is invariant under the action of an extended linear diffeomorphism. We investigate the consistency of the equations of motion, and the highest spin degrees of freedom are extracted by means of a set of covariant constraints. Moreover the the highest spin equations of motions (and in general all the highest spin field 1-PI irreducible Green functions) are invariant under a chain of transformations induced by a set of $N-2$ Ward operators, while the auxiliary fields equations of motion spoil this symmetry. The first steps to a quantum extension of the model are discussed on the basis of the Algebraic Field Theory.Technical aspects are reported in Appendices; in particular one of them is devoted to illustrate the spin-$2$ case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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