Centro Atómico Bariloche and CONICET, S.C. de Bariloche, Río Negro, R8402AGP, Argentina.
Instituto de Física de La Plata-CONICET, C.C. 67, 1900 La Plata, Argentina.
Phys Rev Lett. 2023 Mar 17;130(11):111603. doi: 10.1103/PhysRevLett.130.111603.
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.
我们在一个插入到 d 维洛伦兹共形场论中的点状缺陷上建立了重整化群流的不可逆性。我们以两种等效的方式将杂质熵 g 与量子相对熵联系起来。一种涉及到柯西曲面的零变形，另一种则是以局部淬火协议的形式给出。相对熵的正定性和单调性意味着 g 沿着重整化群流单调减小，并为这种不可逆性提供了明确的信息论意义。
