Super Yang-Mills and θ-exact Seiberg-Witten map: absence of quadratic noncommutative IR divergences

2016, May 27
Carmelo P. Martin (Madrid, Autonoma U.), Josip Trampetic (Boskovic Inst., Zagreb & Munich, Max Planck Inst.), Jiangyang You (Boskovic Inst., Zagreb).
JHEP 1605 (2016) 169
  1602.01333.pdf

Abstract: We compute the one-loop 1PI contributions to all the propagators of the noncommutative (NC) N = 1, 2, 4 super Yang-Mills (SYM) U(1) theories defined by the means of the θ-exact Seiberg-Witten (SW) map in the Wess-Zumino gauge. Then we extract the UV divergent contributions and the noncommutative IR divergences. We show that all the quadratic noncommutative IR divergences add up to zero in each propagator.