On the Light dilaton in the Large N Tri-critical O(N) Model
High Energy Physics - Theory
2016-12-28 v1 Statistical Mechanics
High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.1605.00750,
title = {On the Light dilaton in the Large N Tri-critical O(N) Model},
author = {Hamid Omid and Gordon W. Semenoff and L. C. R. Wijewardhana},
journal= {arXiv preprint arXiv:1605.00750},
year = {2016}
}
Comments
Eight pages, 2 figures