OPE符合半经典
The OPE meets semiclassics
摘要:
我们表明,相关的三个大的电荷运营商的最小标度维数可以计算半经典的CFTs与$U(1)$对称性的任意固定值的比率,他们的费用。通过在$3d$中求解共形超流EFT中的一个非线性边值问题,得到了OPE系数的显式表达式。该结果适用于所有具有$U(1)$对称性的三维CFTs,其大电荷扇区是超流体。
英文摘要:
We show that the correlator of three large charge operators with minimal scaling dimension can be computed semiclassically in CFTs with a $U(1)$ symmetry for arbitrary fixed values of the ratios of their charges. We obtain explicitly the OPE coefficient from the numerical solution of a nonlinear boundary value problem in the conformal superfluid EFT in $3d$. The result applies in all three-dimensional CFTs with a $U(1)$ symmetry whose large charge sector is a superfluid.
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