论文标题

用于任意比例尺尺寸的全息繁殖传播器

Holographic thermal propagator for arbitrary scale dimensions

论文作者

Bajc, Borut, Lugo, Adrian R.

论文摘要

使用ADS/CFT对应关系,我们对具有任意尺度尺寸的操作员的两个点相关器的行为进行建模,该尺寸$δ$在任意时空尺寸$ d $的小温度$ d $中。所获得的繁殖器在低温制度中重合,已知结果$ d = 4 $,对于$ t^d $的大$δ$,以及$ t^d $和$ t^d $和$ t^{2d} $的确切所有订单结果的$ d = 2 $。此外,对于任意$ d $,我们明确地写下了传台的$ t^{d} $的表达式,用于任意$δ$,并在大$δ$限制中呈现$ t^{2d} $的猜想。

Using the AdS/CFT correspondence we model the behaviour of the two point correlator of an operator with arbitrary scale dimension $Δ$ in arbitrary spacetime dimension $d$ for small but non-zero temperature. The obtained propagator coincides in the low temperature regime with the known result for $d=4$ for large $Δ$ at the order $T^d$ as well as with the $T^d$ and $T^{2d}$ terms of the exact all order result for $d=2$. Furthermore, for arbitrary $d$ we explicitly write down the expression for the order $T^{d}$ of the propagator for arbitrary $Δ$, and present a conjecture for the order $T^{2d}$ in the large $Δ$ limit.

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