# The power of AQFT: the area law for entropy of localized quantum matter

October 20, 2006

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.

open access link

PoSIC2006:027,2006

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