Light dilaton in the large N tricritical O(N) model

被引：22

作者：

Omid, Hamid ^{[1
]}

Semenoff, Gordon W. ^{[1
]}

Wijewardhana, L. C. R. ^{[2
]}

机构：

[1] Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada

[2] Univ Cincinnati, Dept Phys, Cincinnati, OH 45220 USA

来源：

PHYSICAL REVIEW D | 2016年 / 94卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

FIXED-POINT; CHIRAL HIERARCHIES; EXPANSION;

D O I：

10.1103/PhysRevD.94.125017

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 article, 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.

引用

页数：9

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