QFT on homothetic Killing twist deformed curved spacetimes |
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Authors: | Alexander Schenkel |
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Institution: | 1.Institut für Theoretische Physik und Astrophysik,Universit?t Würzburg,Würzburg,Germany |
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Abstract: | 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. |
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