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arXiv · 1606.03312

Equivalence of quantum field theories related by the theta-exact Seiberg-Witten map

Carmelo P. Martin·Josip Trampetic·Jiangyang You
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Abstract

The equivalence of the noncommutative U(N) quantum field theories related by the theta-exact Seiberg-Witten maps is in this letter proven to all orders in the perturbation theory with respect to the coupling constant. We show that this duality holds for Super Yang-Mills theories with N=0,1,2,4 supersymmetry. A direct check of this equivalence relation is performed by computing the one-loop quantum corrections to the quadratic part of the effective action in the noncommutative U(1) gauge theory with N=0,1,2,4 supersymmetry.

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Carmelo P. Martin, Josip Trampetic, Jiangyang You. 2016-06-10. Equivalence of quantum field theories related by the theta-exact Seiberg-Witten map. https://doi.org/10.1103/physrevd.94.041703

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