Light-state dominance from the conformal bootstrap
Light-state dominance from the conformal bootstrap
复制标题
共形自举的轻态优势
DOI：
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发表时间：
2018
影响因子：
5.4
通讯作者：
Allic Sivaramakrishnan
中科院分区：
文献类型：
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作者：
P. Kraus;Allic Sivaramakrishnan
我们推导了CFTd中相关器的光态优势形式，使相关器可以通过光算子交换的贡献来近似。我们的主要结果是，具有Δ维数的算子的四点函数通过在适当的OPE通道中具有Δc > 2Δ以下缩放维数的算子的贡献来近似，误差有界。采用现有的模不变性参数，我们使用交叉对称来显示重状态贡献被一个相对因子e2Δ−Δcdocumentclass[12pt]{minimal} usepackageamsmath{ useppackagewasysym} useppackageamsfonts{ useppackageamssyb} useppackagemathrsfs{ useppackageupgreek }setlengthoddsidemargin{-69pt} {egindocument}{}{}{}{}{}$$ {e}^{2varDelta -{varDelta}_c} $$ enddocument抑制{。我们把这个结果推广}到相关器的第一张表和导数上。进一步利用交叉和模不变性之间的技术相似性，我们证明了二维配分函数的类似结果。然后，我们转向间隙理论和AdS/CFT中的有效场论，并对整体中积分出重粒子的影响作了一些一般性的评论。结合我们的边界和洛伦兹OPE反演公式，我们表明，在某些条件下，光态优势意味着积分出重交换导致高导数耦合在很大程度上被抑制Δgap。
We derive forms of light-state dominance for correlators in CFTd, making precise the sense in which correlators can be approximated by the contribution of light operator exchanges. Our main result is that the four-point function of operators with dimension Δ is approximated, with bounded error, by the contribution of operators with scaling dimension below Δc > 2Δ in the appropriate OPE channel. Adapting an existing modular invariance argument, we use crossing symmetry to show that the heavy-state contribution is suppressed by a relative factor of e2Δ−Δcdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ {e}^{2varDelta -{varDelta}_c} $$end{document} . We extend this result to the first sheet and derivatives of the correlator. Further exploiting technical similarities between crossing and modular invariance, we prove analogous results for the 2d partition function along the way. We then turn to effective field theory in gapped theories and AdS/CFT, and make some general comments about the effect of integrating out heavy particles in the bulk. Combining our bounds with the Lorentzian OPE inversion formula we show that, under certain conditions, light-state dominance implies that integrating out heavy exchanges leads to higher-derivative couplings suppressed at large Δgap.
影响因子：
5.4
作者：
F. Gliozzi;P. Liendo;M. Meineri;A. Rago
通讯作者：
F. Gliozzi;P. Liendo;M. Meineri;A. Rago
3d Ising 的关键指数和共形引导的相关模型
影响因子：
5.4
作者：
Gliozzi F
通讯作者：
Gliozzi F