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

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.

55 pages, 53 figures, version published in JHEP

References in corpus (3)

• Photon self-interaction on deformed spacetime
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• The theta-exact Seiberg-Witten maps at the e3 order

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• Quantum duality under the theta-exact Seiberg-Witten map
• UV/IR Mixing in Nonassociative Snyder phi^4 Theory
• Spacetime Deformation Effect on the Early Universe and the PTOLEMY Experiment
• Seiberg-Witten Map with Lorentz-Invariance and Gauge-Covariant Star Product
• UV/IR mixing in Noncommutative SU(N) Yang-Mills theory