Closed star product on noncommutative ℝ^3 and scalar field dynamics (CROSBI ID 228967)
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Podaci o odgovornosti
Jurić, Tajron ; Poulain, Timothé ; Wallet, Jean-Christophe
engleski
Closed star product on noncommutative ℝ^3 and scalar field dynamics
We consider the noncommutative space ℝ θ 3 , a deformation of ℝ 3 for which the star product is closed for the trace functional. We study one-loop IR and UV properties of the 2-point function for real and complex noncommutative scalar field theories with quartic interactions and Laplacian on ℝ 3 as kinetic operator. We find that the 2-point functions for these noncommutative scalar field theories have no IR singularities in the external momenta, indicating the absence of UV/IR mixing. We also find that the 2-point functions are UV finite with the deformation parameter θ playing the role of a natural UV cut-off. The possible origin of the absence of UV/IR mixing in noncommutative scalar field theories on ℝ θ 3 as well as on ℝ λ 3 , another deformation of ℝ 3, is discussed.
Non-Commutative Geometry ; Field Theories in Lower Dimensions ; Models of Quantum Gravity
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Podaci o izdanju
5
2016.
146
22
objavljeno
1126-6708
1029-8479
10.1007/JHEP05(2016)146