On Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
نویسنده
چکیده
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. DAMTP/96-22 hep-th/9602085 ∗Research Fellow of Corpus Christi College in the University of Cambridge
منابع مشابه
Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
A noncommutative geometric generalisation of the quantum field theoretical framework is developed by generalising the Heisenberg commutation relations. There appear nonzero minimal uncertainties in positions and in momenta. As the main result it is shown with the example of a quadratically ultraviolet divergent graph in φ4 theory that nonzero minimal uncertainties in positions do have the power...
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تاریخ انتشار 1996