Super Yang-Mills and theta-exact Seiberg-Witten map: Absence of quadratic noncommutative IR divergences

2016/02/03 by Carmelo P. Martin, Carmelo P. Martín, Josip Trampetić +5
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1602.01333

55 pages, 53 figures, version published in JHEP

openalex publication_date 2016/02/03 · arxiv created 2016/06/02 · arxiv updated 2016/06/03 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We compute the one-loop 1PI contributions to all the propagators of the noncommutative N=1, 2, 4 super Yang-Mills (SYM) U(1) theories defined by the means of the theta-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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