Mutual information and the F-theorem

Horacio Casini, Marina Huerta, Robert C. Myers, Alexandre Yale
2015 Journal of High Energy Physics  
Mutual information is used as a purely geometrical regularization of entanglement entropy applicable to any QFT. A coefficient in the mutual information between concentric circular entangling surfaces gives a precise universal prescription for the monotonous quantity in the c-theorem for d = 3. This is in principle computable using any regularization for the entropy, and in particular is a definition suitable for lattice models. We rederive the proof of the c-theorem for d = 3 in terms of
more » ... information, and check our arguments with holographic entanglement entropy, a free scalar field, and an extensive mutual information model.
doi:10.1007/jhep10(2015)003 fatcat:txvw3ptnzzakvbrscj2ovjdcqu