论文标题
使用Wilson流量
Renormalization of the $3D$ $SU(N)$ scalar energy-momentum tensor using the Wilson flow
论文作者
论文摘要
在宇宙学全息方法中，宇宙学可观察物是用三维边界量子场理论的相关因素来描述的。作为一个具体的模型，我们研究了$ 3D $ suless $ su（n）$标量矩阵字段理论，具有$ ϕ^4 $相互作用。在晶格上，该理论中的能量弹药张量（EMT）可以与操作员$ ϕ^2 $混合。我们利用Wilson流量将EMT重新归一化，并为$ n = 2 $的混合系数呈现数值结果。获得重新归一化的EMT将使我们能够对双重QFT非扰动的制度中的CMB功率谱进行预测。
In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the $3D$ massless $SU(N)$ scalar matrix field theory with a $ϕ^4$ interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator $ϕ^2$. We utilize the Wilson Flow to renormalize the EMT on the lattice, and present numerical results for the mixing coefficient for $N = 2$. Obtaining the renormalized EMT will allow us to make predictions for the CMB power spectra in the regime where the dual QFT is non-perturbative.
