论文标题

特殊的加利昂作为差异性的金石

The Special Galileon as Goldstone of Diffeomorphisms

论文作者

Roest, Diederik

论文摘要

特殊的加利昂由于其软限制,非线性对称性和散射幅度而脱颖而出。这提示了一个问题,其基础对称性的起源是什么。我们表明,它与一般相对性密切相关:特殊的伽利略是仿射组的金石模式,由线性坐标转换组成,类似于dilaton的形成符号对称性。我们构建相应的度量,并讨论与重力,阳米尔和非线性Sigma模型的各种关系。

The special Galileon stands out amongst scalar field theories due to its soft limits, non-linear symmetries and scattering amplitudes. This prompts the question what the origin of its underlying symmetry is. We show that it is intimately connected to general relativity: the special Galileon is the Goldstone mode of the affine group, consisting of linear coordinate transformations, analogous to the dilaton for conformal symmetries. We construct the corresponding metric, and discuss various relations to gravity, Yang-Mills and the non-linear sigma-model.

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