2016/09/26 by R. Horvat, Carmelo P. Martín, Horvat, Raul +5
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.1609.08065
In this article we expound a discovery of the quantum equivalence/duality of U(N) noncommutative quantum field theories (NC QFT) related by the theta-exact Seiberg-Witten (SW) maps and at all orders in the perturbation theory with respect to the coupling constant. We show that this proof holds for Super Yang-Mills (SYM) theories with N=0,1,2,4 supersymmetry. In short, Seiberg-Witten map does commute with the quantization of the U(N) NCQFT independently, with or without supersymmetry.