Naslov
Closed star product on noncommutative ℝ^3 and scalar field dynamics

Autori
Jurić, Tajron ; Poulain, Timothé ; Wallet, Jean-Christophe

Izvornik
The Journal of high energy physics (1126-6708) 5 (2016); 146, 22

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Non-Commutative Geometry ; Field Theories in Lower Dimensions ; Models of Quantum Gravity

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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