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A Clockwork Axion · Around

2015

A Clockwork Axion

Kaplan, David E., Rattazzi, Riccardo

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We present a renormalizable theory of scalars in which the low energy effective theory contains a pseudo-Goldstone Boson with a compact field space of 2{\pi} F and an approximate discrete shift symmetry Z_Q with Q>>1, yet the number of fields in the theory goes as log(Q).

Such a model can serve as a UV completion to models of relaxions and is a new source of exponential scale separation in field theory.
While the model is local in `theory space', it appears to not have a continuum generalization (i.e., it cannot be a deconstructed extra dimension).
Our framework shows that super-Planckian field excursions can be mimicked while sticking to renormalizable four-dimensional quantum field theory.

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Original

Cited in the paper.

C. Vafa, hep-th/0509212

Cited in the paper.

H. C. Cheng and D. E. Kaplan, hep-ph/0103346

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K. Choi and S. H. Im, arXiv:1511.00132 [hep-ph]

Cited in the paper.