Bootstrapping the O(N) archipelago

被引：173

作者：

Kos, Filip ^{[1
]}

Poland, David ^{[1
]}

Simmons-Duffin, David ^{[2
]}

Vichi, Alessandro ^{[3
]}

机构：

[1] Yale Univ, Dept Phys, New Haven, CT 06520 USA

[2] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA

[3] CERN, Theory Div, Geneva, Switzerland

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 11期

基金：

美国国家科学基金会;

关键词：

Conformal and W Symmetry; Global Symmetries;

D O I：

10.1007/JHEP11(2015)106

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We study 3d CFTs with an O(N) global symmetry using the conformal bootstrap for a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point functions containing the lowest dimension O(N) vector phi(i) and the lowest dimension O(N) singlet s, assumed to be the only relevant operators in their symmetry representations. The constraints of crossing symmetry and unitarity for these four-point functions force the scaling dimensions (Delta(phi), Delta(s)) to lie inside small islands. We also make rigorous determinations of current two-point functions in the O(2) and O(3) models, with applications to transport in condensed matter systems.

引用

页码：1 / 27

页数：27

共 71 条

[41] Eliminating leading corrections to scaling in the three-dimensional O(N)-symmetric φ4 model:: N=3 and 4 [J].