2001/06/29 by Bert Schroer, Schroer, Bert
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #gr-qc #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/0106284
31 pages tcilatex, several improvements in presentation, references added
arxiv created 2001/08/27 · arxiv updated 2009/11/30
Recent developments in local quantum physics have led to revolutionary conceptual changes in the thinking about a more intrinsic formulation and in particular about unexpected aspects of localized degrees of freedom. This paradigmatic change is most spectacular in a new rigorous form of ``holography'' and ``transplantation'' as generic properties in QFT beyond the rather special geometric black hole setting in which the geometric manifestations of these properties were first noted. This new setting is also the natural arena for understanding the rich world of ``black hole analogs'' (``dumb holes'' for phonons). The mathematical basis for all this is the extremely powerful Tomita-Takesaki modular theory in operator algebras. The rich consequences of the impressive blend of this theory with physical localization entails among other things the presence of ``fuzzy'' acting infinite dimensional symmetry groups, a spacetime interpretation and derivation of the d=1+1 Zamolodchikov-Faddeev algebra (i.e. a better understanding of the bootstrap-formfactor approach) and the noncommutative multiparticle structure of ``free'' anyons based on the use of Wigner representation theory.