Large field excursions and approximate discrete symmetries from a clockwork axion

By D. Kaplan, R. Rattazzi. 2015

307 citations recorded by the source corpus.

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 not to 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. We show that a supersymmetric extension is straightforwardly obtained, and we illustrate possible UV completions based on a compact extra dimension, where all global symmetries arise accidentally as a consequence of gauge invariance and five-dimensional locality.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/41aa50a7985eaf73420af822fa5d840746d03da0

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In Astronomy and Astrophysics

  1. D. Marsh
  2. D. Grin
  3. Kiwoon Choi
  4. R. Hložek
  5. Sang Hui Im
  6. C. Shin
  7. R. Volkas
  8. Jure Zupan

In Nuclear and High Energy Physics

  1. D. Marsh
  2. D. Grin
  3. Kiwoon Choi
  4. R. Hložek
  5. Sang Hui Im
  6. C. Shin
  7. Vladimir Vava Gligorov
  8. Jure Zupan

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