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@TECHREPORT{Buchholz:594252,
author = {Buchholz, Detlev and Verch, Rainer},
title = {{S}caling algebras and renormalization group in algebraic
quantum field theory},
number = {hep-th/9501063},
reportid = {PUBDB-2023-05677, hep-th/9501063. DESY-95-004},
pages = {47},
year = {1995},
note = {47 pages, no figures, ams-latex},
abstract = {For any given algebra of local observables in Minkowski
space an associated scaling algebra is constructed on which
renormalization group (scaling) transformations act in a
canonical manner. The method can be carried over to
arbitrary spacetime manifolds and provides a framework for
the systematic analysis of the short distance properties of
local quantum field theories. It is shown that every theory
has a (possibly non-unique) scaling limit which can be
classified according to its classical or quantum nature.
Dilation invariant theories are stable under the action of
the renormalization group. Within this framework the problem
of wedge (Bisognano-Wichmann) duality in the scaling limit
is discussed and some of its physical implications are
outlined.},
keywords = {axiomatic field theory (INSPIRE) / operator: algebra
(INSPIRE) / scaling (INSPIRE) / renormalization group
(INSPIRE) / mathematical methods (INSPIRE)},
cin = {DESY(-2012)},
ddc = {530},
cid = {$I:(DE-H253)DESY_-2012_-20170516$},
pnm = {899 - ohne Topic (POF4-899)},
pid = {G:(DE-HGF)POF4-899},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)29},
eprint = {hep-th/9501063},
howpublished = {arXiv:hep-th/9501063},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:hep-th/9501063;\%\%$},
doi = {10.3204/PUBDB-2023-05677},
url = {https://bib-pubdb1.desy.de/record/594252},
}