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Large field excursions and approximate discrete symmetries from a clockwork axion

Large field excursions and approximate discrete symmetries from a clockwork axion

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 …