Matches in SemOpenAlex for { <https://semopenalex.org/work/W3032097227> ?p ?o ?g. }
Showing items 1 to 58 of
58
with 100 items per page.
- W3032097227 startingPage "914" @default.
- W3032097227 abstract "The quantum analogue of general relativistic geometry should be implementable on smooth manifolds without an a priori metric structure, the kinematical covariance group acting by diffeomorphisms. Here I approach quantum gravity (QG) in the view of constructive, algebraic quantum field theory (QFT). Comparing QG with usual QFT, the algebraic approach clarifies analogies and peculiarities. As usual, an isotonic net of *-algebras is taken to encode the quantum field operators. For QG, the kinematical covariance group acts via diffeomorphisms on the open sets of the manifold, and via algebraic isomorphisms on the algebras. In general, the algebra of observables is covariant only under a (dynamical) subgroup of the general diffeomorphism group. After an algebraic implementation of the dynamical subgroup of dilations, small and large scale cutoffs may be introduced algebraically. So the usual a priori conflict of cutoffs with general covariance is avoided. Even more, these cutoffs provide a natural local cobordism for topological quantum field theory. A new commutant duality between the minimal and maximal algebra allows to extract the modular structure from the net of algebras. The outer modular isomorphisms are then again related to dilations, which (under certain conditions) may provide a notion of time." @default.
- W3032097227 created "2020-06-05" @default.
- W3032097227 creator A5049247529 @default.
- W3032097227 date "1999-01-01" @default.
- W3032097227 modified "2023-09-23" @default.
- W3032097227 title "The Role of Dilations in Diffeomorphism Covariant Algebraic Quantum Field Theory" @default.
- W3032097227 hasPublicationYear "1999" @default.
- W3032097227 type Work @default.
- W3032097227 sameAs 3032097227 @default.
- W3032097227 citedByCount "0" @default.
- W3032097227 crossrefType "journal-article" @default.
- W3032097227 hasAuthorship W3032097227A5049247529 @default.
- W3032097227 hasConcept C115047598 @default.
- W3032097227 hasConcept C136119220 @default.
- W3032097227 hasConcept C147452769 @default.
- W3032097227 hasConcept C202444582 @default.
- W3032097227 hasConcept C2778300598 @default.
- W3032097227 hasConcept C33923547 @default.
- W3032097227 hasConcept C37914503 @default.
- W3032097227 hasConcept C47556283 @default.
- W3032097227 hasConcept C9136319 @default.
- W3032097227 hasConceptScore W3032097227C115047598 @default.
- W3032097227 hasConceptScore W3032097227C136119220 @default.
- W3032097227 hasConceptScore W3032097227C147452769 @default.
- W3032097227 hasConceptScore W3032097227C202444582 @default.
- W3032097227 hasConceptScore W3032097227C2778300598 @default.
- W3032097227 hasConceptScore W3032097227C33923547 @default.
- W3032097227 hasConceptScore W3032097227C37914503 @default.
- W3032097227 hasConceptScore W3032097227C47556283 @default.
- W3032097227 hasConceptScore W3032097227C9136319 @default.
- W3032097227 hasLocation W30320972271 @default.
- W3032097227 hasOpenAccess W3032097227 @default.
- W3032097227 hasPrimaryLocation W30320972271 @default.
- W3032097227 hasRelatedWork W1571979964 @default.
- W3032097227 hasRelatedWork W1969671346 @default.
- W3032097227 hasRelatedWork W1973160176 @default.
- W3032097227 hasRelatedWork W2034362864 @default.
- W3032097227 hasRelatedWork W2037929485 @default.
- W3032097227 hasRelatedWork W2046602495 @default.
- W3032097227 hasRelatedWork W2071966216 @default.
- W3032097227 hasRelatedWork W2140872353 @default.
- W3032097227 hasRelatedWork W2144505517 @default.
- W3032097227 hasRelatedWork W2217194410 @default.
- W3032097227 hasRelatedWork W2754132426 @default.
- W3032097227 hasRelatedWork W2768302912 @default.
- W3032097227 hasRelatedWork W2963475067 @default.
- W3032097227 hasRelatedWork W2977607839 @default.
- W3032097227 hasRelatedWork W3049937043 @default.
- W3032097227 hasRelatedWork W3102281327 @default.
- W3032097227 hasRelatedWork W3105291853 @default.
- W3032097227 hasRelatedWork W3105516436 @default.
- W3032097227 hasRelatedWork W3133897949 @default.
- W3032097227 hasRelatedWork W2002405048 @default.
- W3032097227 isParatext "false" @default.
- W3032097227 isRetracted "false" @default.
- W3032097227 magId "3032097227" @default.
- W3032097227 workType "article" @default.