On Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
Achim Kempf
Abstract
We continue studies on quantum field theories on noncommutative geometric spaces, focusing on classes of noncommutative geometries which imply ultraviolet and infrared modifications in the form of nonzero minimal uncertainties in positions and momenta. The case of the ultraviolet modified uncertainty relation which has appeared from string theory and quantum gravity is covered. The example of euclidean ϕ4-theory is studied in detail and in this example we can now show ultraviolet and infrared regularisation of all graphs.
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