Entropic order parameters for the phases of QFT

A bstract We propose entropic order parameters that capture the physics of generalized symmetries and phases in QFT’s. do it through an analysis simple properties (additivity Haag duality) net operator algebras attached to space-time regions. observe different types are associated with breaking these regions non-trivial topologies. When such topologies connected, we show non locally generated operators generate Abelian symmetry group, their commutation relations fixed. The existence area law, like Wilson loop for confinement phase, or ’t Hooft dual Higgs is shown imply more than one possible choice same underlying theory. natural parameter arises by this non-uniqueness. display aspects theories terms parameters. In particular, connection between constant laws disorder transparent approach, new constraints arising from conformal revealed, algebraic origin Dirac quantization condition (and generalizations thereof) described. novel tool approach certainty relation satisfied relative entropies complementary regions, which quantitatively relates statistics