arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1105.0678hep-thhep-ph
收藏

有效AdS/renormalized CFT

Effective AdS/renormalized CFT

JiJi Fan

摘要:

对于有效的AdS理论,我们给出了一个计算其对偶边界场论重整化的简单公式。特别是,我们定义的异常尺寸全息依赖于波函数重整化因子的径向截断的庞加莱补丁的AdS。利用这个定义,计算了单迹和双迹算符的反常维数.在场论下,考虑了三种不同的对偶性:CFT、具有双迹形变的CFT和自发破裂的CFT。对于第二个对偶对,我们计算缩放校正的UV和IR的不动点的RG流触发的双迹变形。对于最后一种情况,我们讨论我们的处方是否是敏感的AdS内部或等价的,IR物理的双场论。

英文摘要:

For an effective AdS theory, we present a simple prescription to compute the renormalization of its dual boundary field theory. In particular, we define anomalous dimension holographically as the dependence of the wave-function renormalization factor on the radial cutoff in the Poincare patch of AdS. With this definition, the anomalous dimensions of both single- and double- trace operators are calculated. Three different dualities are considered with the field theory being CFT, CFT with a double-trace deformation and spontaneously broken CFT. For the second dual pair, we compute scaling corrections at the UV and IR fixed points of the RG flow triggered by the double-trace deformation. For the last case, we discuss whether our prescription is sensitive to the AdS interior or equivalently, the IR physics of the dual field theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑