Supplementary data for the article: Aničić, N.; Gašić, U.; Lu, F.; Ćirić, A.; Ivanov, M.; Jevtić, B.; Dimitrijević, M.; Anđelković, B.; Skorić, M.; Nestorović Živković, J.; Mao, Y.; Liu, J.; Tang, C.; Soković, M.; Ye, Y.; Mišić, D. Antimicrobial and Immunomodulating Activities of Two Endemic Nepeta Species and Their Major Iridoids Isolated from Natural Sources. Pharmaceuticals 2021, 14 (5), 414. https://doi.org/10.3390/ph14050414.

Supplementary material for: [https://doi.org/10.3390/ph14050414]Related to published version: [https://cherry.chem.bg.ac.rs/handle/123456789/4444

Noncommutative gravity and the relevance of the

The breaking of diffeomorphism invariance in the Moyal-Weyl (θ-constant) noncommutative (NC) space-time is a well-known and a long-standing problem. It makes the construction of NC gravity models and interpretation of their results very difficult. In order to solve this problem in this letter we construct a NC gravity action based on the NC $SO(2,3)_\star$ gauge group and the Seiberg-Witten expansion. The NC equations of motion show that the noncommutativity plays the role of a source for the curvature and/or torsion. Finally, we calculate the NC corrections to the Minkowski space-time and show that in the presence of noncommutativity the Minkowski space-time becomes curved, but remains torsion-free. More importantly, we show that the coordinate system we are using is given by the Fermi normal coordinates; the NC deformation is constant in this particular reference system. The breaking of diffeomorphism invariance is understood as a consequence of working in a preferred reference system. In an arbitrary reference system, the NC deformation is obtained by an appropriate coordinate transformation

BV quantization of braided scalar field theory

We address the problem of UV/IR mixing in noncommutative quantum field theories from the perspective of braided L∞-structures and the Batalin--Vilkovisky formalism. We describe the example of braided noncommutative scalar field theory and its quantization using braided homological perturbation theory. The formalism is illustrated through one-loop calculations of the two-point functions for ϕ4-theory in four dimensions and ϕ3-theory in six dimensions. In both cases we find that there are no non-planar diagrams and no UV/IR mixing

Noncommutative gravity and the relevance of the θ

The breaking of diffeomorphism invariance in the Moyal-Weyl (θ-constant) noncommutative (NC) space-time is a well-known and a long-standing problem. It makes the construction of NC gravity models and interpretation of their results very difficult. In order to solve this problem in this letter we construct a NC gravity action based on the NC $SO(2,3)_\star$ gauge group and the Seiberg-Witten expansion. The NC equations of motion show that the noncommutativity plays the role of a source for the curvature and/or torsion. Finally, we calculate the NC corrections to the Minkowski space-time and show that in the presence of noncommutativity the Minkowski space-time becomes curved, but remains torsion-free. More importantly, we show that the coordinate system we are using is given by the Fermi normal coordinates; the NC deformation is constant in this particular reference system. The breaking of diffeomorphism invariance is understood as a consequence of working in a preferred reference system. In an arbitrary reference system, the NC deformation is obtained by an appropriate coordinate transformation

BV quantization of braided scalar field theory

We address the problem of UV/IR mixing in noncommutative quantum field theories from the perspective of braided L∞-structures and the Batalin--Vilkovisky formalism. We describe the example of braided noncommutative scalar field theory and its quantization using braided homological perturbation theory. The formalism is illustrated through one-loop calculations of the two-point functions for ϕ4-theory in four dimensions and ϕ3-theory in six dimensions. In both cases we find that there are no non-planar diagrams and no UV/IR mixing