Bootstrapping the O(N) archipelago
Bootstrapping the O(N) archipelago
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DOI：
10.1007/jhep11(2015)106
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发表时间：
2015-04
影响因子：
5.4
通讯作者：
F. Kos;David Poland;D. Simmons-Duffin;A. Vichi
中科院分区：
文献类型：
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作者：
F. Kos;David Poland;D. Simmons-Duffin;A. Vichi
我们用共形自举方法研究了具有O(N)整体对称性的混合相关器系统的三维CFT。具体地说，我们考虑所有包含最低维O(N)向量ϕI和最低维O(N)单重态S的非零四点函数，假设它们是对称表示中唯一相关的算子。这些四点函数的交叉对称性和么正性的约束迫使标度维(Δϕ，ΔS)位于小岛内。我们还严格确定了O(2)和O(3)模型中当前的两点函数，并将其应用于凝聚态系统中的输运。
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 ϕ 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 (Δ ϕ, Δ 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.