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On the Light dilaton in the Large N Tri-critical O(N) Model | | Hamid Omid
; Gordon W. Semenoff
; L.C.R. Wijewardhana
; | | Date: |
3 May 2016 | | Abstract: | The leading order of the large N limit of the O(N) symmetric phi-six theory
in three dimensions has a phase which exhibits spontaneous breaking of scale
symmetry accompanied by a massless dilaton which is a Goldstone boson. At the
next-to-leading order in large N, the phi-six coupling has a beta function of
order 1/N and it is expected that the dilaton acquires a small mass,
proportional to the beta function and the condensate. In this note, we show
that this "light dilaton" is actually a tachyon. This indicates an instability
of the phase of the theory with spontaneously broken approximate scale
invariance. | | Source: | arXiv, 1605.0750 | | Services: | Forum | Review | PDF | Favorites | |
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