The power of AQFT: the area law for entropy of localized quantum matter
Abstract
Description
The algebraic approach to QFT, which for several decades has enriched QFT with structural theorems, has recently shown its utility in various constructions of actual interest. In these lecture notes I explain how AQFT (in particular the modular theory of operator algebras) implies paradigmatic conceptual and mathematical changes while fully preserving the physical principles which underly QFT. As an illustration of actual interest I use holography on null-surfaces and the ensuing area law for entropy of localized matter in the vacuum state.
18 pages, submitted contribution to Fifth International Conference on Mathematical Methods in Physics April 2006, Rio de Janeiro, various improvements and additions
18 pages, submitted contribution to Fifth International Conference on Mathematical Methods in Physics April 2006, Rio de Janeiro, various improvements and additions