论文标题
熵$ g $ - 一般时空维度
The entropic $g$-theorem in general spacetime dimension
论文作者
论文摘要
我们在$ d $维的洛伦兹（Lorentzian）保形场理论中插入的指尖缺陷上，建立了重新归一化组的不可逆性。我们通过两种等效方式将杂质熵$ g $与量子相对熵一起确定。一种涉及凯奇表面的无效变形，另一个是根据局部淬灭协议给出的。相对熵的阳性和单调性意味着$ g $沿重新归一化组流量降低，并为这种不可逆性提供了清晰的信息理论含义。
We establish the irreversibility of renormalization group flows on a pointlike defect inserted in a $d$-dimensional Lorentzian conformal field theory. We identify the impurity entropy $g$ with the quantum relative entropy in two equivalent ways. One involves a null deformation of the Cauchy surface, and the other is given in terms of a local quench protocol. Positivity and monotonicity of the relative entropy imply that $g$ decreases monotonically along renormalization group flows, and provides a clear information-theoretic meaning for this irreversibility.
