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arXiv 1311.6491hep-th
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无对称性恢复的UV完备化

UV completion without symmetry restoration

Solomon Endlich, Alberto Nicolis, Riccardo Penco

摘要:

我们表明,这是不可能的UV完成某些低能有效的理论与自发破缺的时空对称性嵌入到线性西格玛模型,也就是说,通过添加“径向”模式和恢复破碎的对称性。当这样的UV完成是不可能的,人们仍然可以提高截止到任意更高的能量,通过添加场,非线性变换下打破对称性,即新的戈德斯通玻色子。但是,这种(部分)UV完成不一定恢复任何破坏的对称性。我们通过考虑一个具体例子来说明这一点,其中时空和内部对称性的组合被分解为对角子群。一路上,我们澄清最近提出的解释逆希格斯约束规范固定条件。

英文摘要:

We show that it is not possible to UV-complete certain low-energy effective theories with spontaneously broken space-time symmetries by embedding them into linear sigma models, that is, by adding "radial" modes and restoring the broken symmetries. When such a UV completion is not possible, one can still raise the cutoff up to arbitrarily higher energies by adding fields that transform non-linearly under the broken symmetries, that is, new Goldstone bosons. However, this (partial) UV completion does not necessarily restore any of the broken symmetries. We illustrate this point by considering a concrete example in which a combination of space-time and internal symmetries is broken down to a diagonal subgroup. Along the way, we clarify a recently proposed interpretation of inverse Higgs constraints as gauge-fixing conditions.

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