caa a22 4500 445386843 CHVBK 20180317143034.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10714-011-1184-8 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1184-8 Schenkel Alexander Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, 97074, Würzburg, Germany aut QFT on homothetic Killing twist deformed curved spacetimes [Elektronische Daten] [Alexander Schenkel] We study the quantum field theory (QFT) of a free, real, massless and curvature coupled scalar field on self-similar symmetric spacetimes, which are deformed by an abelian Drinfel'd twist constructed from a Killing and a homothetic Killing vector field. In contrast to deformations solely by Killing vector fields, such as the Moyal-Weyl Minkowski spacetime, the equation of motion and Green's operators are deformed. We show that there is a *-algebra isomorphism between the QFT on the deformed and the formal power series extension of the QFT on the undeformed spacetime. We study the convergent implementation of our deformations for toy-models. For these models it is found that there is a *-isomorphism between the deformed Weyl algebra and a reduced undeformed Weyl algebra, where certain strongly localized observables are excluded. Thus, our models realize the intuitive physical picture that noncommutative geometry prevents arbitrary localization in spacetime. Springer Science+Business Media, LLC, 2011 Noncommutative geometry nationallicence Noncommutative field theory nationallicence Quantum field theory on curved spacetimes nationallicence General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/10(2011-10-01), 2605-2630 0001-7701 43:10<2605 2011 43 10714 https://doi.org/10.1007/s10714-011-1184-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1184-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Schenkel Alexander Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, 97074, Würzburg, Germany aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/10(2011-10-01), 2605-2630 0001-7701 43:10<2605 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer