Abstract
We compute the one-loop 1PI contributions to all the propagators of the noncommutative (NC) \( \mathcal{N}=1,2,4 \) 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.
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ArXiv ePrint: 1602.01333
On leave of absence from the Rudjer Bošković Institute, Zagreb, Croatia. (Josip Trampetic)
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Martin, C.P., Trampetic, J. & You, J. Super Yang-Mills and θ-exact Seiberg-Witten map: absence of quadratic noncommutative IR divergences. J. High Energ. Phys. 2016, 169 (2016). https://doi.org/10.1007/JHEP05(2016)169
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DOI: https://doi.org/10.1007/JHEP05(2016)169