Quantum Field Theory on NC Curved Spacetimes
Quantum Field Theory on NC Curved Spacetimes
Quantum Field Theory on NC Curved Spacetimes
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Scalar field <strong>on</strong> <strong>NC</strong> CS Kinematics<br />
◮ Simple example of a twist: (Moyal product/twist)<br />
⋆-product h ⋆ k = h e iλ ←−<br />
2 ∂µΘ µν−→ iλ<br />
∂ν −1 k twist F = e 2 Θµν∂µ⊗∂ν ◮ More general class of twists: (abelian twists)<br />
F −1 = ¯f α <br />
iλ<br />
⊗ ¯fα = exp<br />
2 Θab <br />
Xa ⊗ Xb with [Xa, Xb] = 0<br />
A. Schenkel (Würzburg) QFT <strong>on</strong> <strong>NC</strong> CS DESY 2010 3 / 9
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