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High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing (2010)
Journal Article
Schenkel, A., & F. Uhlemann, C. (2010). High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing. Physics Letters B, 694(3), 258-260. https://doi.org/10.1016/j.physletb.2010.09.066

We consider an interacting scalar quantum field theory on noncommutative Euclidean space. We implement a family of noncommutative deformations, which -- in contrast to the well known Moyal-Weyl deformation -- lead to a theory with modified kinetic te... Read More about High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing.

Field Theory on Curved Noncommutative Spacetimes (2010)
Journal Article
Schenkel, A., & F. Uhlemann, C. (2010). Field Theory on Curved Noncommutative Spacetimes. Symmetry, Integrability and Geometry: Methods and Applications, 6, Article 061. https://doi.org/10.3842/SIGMA.2010.061

We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative spacetimes by us... Read More about Field Theory on Curved Noncommutative Spacetimes.

Spacetime Noncommutativity in Models with Warped Extradimensions (2010)
Journal Article
Ohl, T., Schenkel, A., & F. Uhlemann, C. (2010). Spacetime Noncommutativity in Models with Warped Extradimensions. Journal of High Energy Physics, Article 29. https://doi.org/10.1007/JHEP07%282010%29029

We construct consistent noncommutative (NC) deformations of the Randall-Sundrum spacetime that solve the NC Einstein equations with a non-trivial Poisson tensor depending on the fifth coordinate. In a class of these deformations where the Poisson ten... Read More about Spacetime Noncommutativity in Models with Warped Extradimensions.

Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes (2010)
Journal Article
Ohl, T., & Schenkel, A. (2010). Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes. General Relativity and Gravitation, 42(12), 2785–2798. https://doi.org/10.1007/s10714-010-1016-2

In this article we study the quantization of a free real scalar field on a class of noncommutative manifolds, obtained via formal deformation quantization using triangular Drinfel'd twists. We construct deformed quadratic action functionals and compu... Read More about Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes.

Preferred foliation effects in Quantum General Relativity (2010)
Journal Article
Koslowski, T., & Schenkel, A. (2010). Preferred foliation effects in Quantum General Relativity. Classical and Quantum Gravity, 27(13), Article 135014. https://doi.org/10.1088/0264-9381/27/13/135014

We investigate the infrared (IR) effects of Lorentz violating terms in the gravitational sector using functional renormalization group methods similar to Reuter and collaborators. The model we consider consists of pure quantum gravity coupled to a pr... Read More about Preferred foliation effects in Quantum General Relativity.