School and Conference on Modern Mathematical Physics

9 - 14 September 2019, Belgrade, Serbia


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    E-mail: mphys10@ipb.ac.rs


Nikola Konjik

Angular noncommutative scalar field phenomenology in flat and curved space

In this presentation a noncommutative deformation of scalar field theory is introduced by an angular twist. The angular twist is an Abelian twist, defined by two commuting vector fields: the generator of the time translations and the generator of rotations around the z-axis. The noncommutative \phi*^4 quantum field theory is analyzed at the one-loop level and contributions to the propagator of both planar and non-planar diagrams are calculated. Using these results, UV/IR mixing is discussed. Noncommutative deformation induces a deformation of the momentum conservation law. This deformation can be expressed in terms of *-sums of momenta. The *-sum is a direct consequence of the deformed (twisted) coproduct of momenta. In the second part of this presentation a noncommutative scalar field in curved space is discussed. In particular, the dynamics of a noncommutative charged scalar field in the Reissner-Nordstrom black hole background is analyzed. Solving the scalar field equation of motion with appropriate boundary conditions, the quasinormal mode spectrum is obtained. Noncommutativity induces a splitting of spectral lines with respect to the magnetic quantum number m. Different methods are used to calculate the quasinormal mode spectrum: WKB method, continued fraction method and an analytic method. The results obtained by these methods are compared and a good qualitative agreement is shown.


Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics (University of Belgrade)
Belgrade, Serbia
Mathematical Institute (Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science (University of Kragujevac)
Kragujevac, Serbia
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia


Institute of Nuclear Sciences "VinĨa" (University of Belgrade)
Belgrade, Serbia
Institute of Physics (University of Kragujevac)
Kragujevac, Serbia
Faculty of Physics (University of Belgrade)
Belgrade, Serbia
Faculty of Sciences (University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering (University of Belgrade)
Belgrade, Serbia
SEENET-MTP (Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia