论文标题
确定Wilsonian重新归一化组的全息QCD中的波方程
Determining wave equations in holographic QCD from Wilsonian renormalization group
论文作者
论文摘要
我们展示了一种可能从基于重新归一化组方法开始的量子场理论方面构建AD/CFT对应的方法。在我们的方案中，自然会引入额外的维度作为重量化量表。全息波方程是得出的，潜在项由QFT特性确定。我们发现，只有在固定点附近，即保形限制，散装方程中的电势才能完全限制，并且在此基础上，对应关系是构建的。我们使用3D标量理论证明了这一事实，在该理论中，除了微不足道的固定点外，还有Wilson-Fisher固定点。从这些固定点周围的能量尺度来看，我们确定了整体方程中电势的行为。
We show a possible way to build the AdS/CFT correspondence starting from the quantum field theory side based on renormalization group approach. An extra dimension is naturally introduced in our scheme as the renomalization scale. The holographic wave equations are derived, with the potential term being determined by the QFT properties. We discover that only around the fixed point, i.e. the conformal limit, the potential in the bulk equations can be fully constrained, and upon this foundation, the correspondence is build. We demonstrate this fact using a 3D scalar theory in which, besides the trivial fixed point, there exists the Wilson-Fisher fixed point. From the energy scalings around those fixed points, we determine the behavior of the potential in the bulk equations.
