Field Theory on Curved Noncommutative Spacetimes

Understand

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 using (Abelian) Drinfel'd twists and the associated *-products and *-differential geometry.
• In particular, we allow for position dependent noncommutativity and do not restrict ourselves to the Moyal-Weyl deformation.