QFT on homothetic Killing twist deformed curved spacetimes
Abstract
We study the quantum field theory (QFT) of a free, real, massless and curvature coupled scalar field on selfsimilar 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 MoyalWeyl 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 toymodels. 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.
 Publication:

General Relativity and Gravitation
 Pub Date:
 October 2011
 DOI:
 10.1007/s1071401111848
 arXiv:
 arXiv:1009.1090
 Bibcode:
 2011GReGr..43.2605S
 Keywords:

 Noncommutative geometry;
 Noncommutative field theory;
 Quantum field theory on curved spacetimes;
 Mathematical Physics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 23 pages, no figures