Super Yang-Mills and θ-exact Seiberg-Witten map: absence of quadratic noncommutative IR divergences
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2016
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Springer
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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.
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© The Authors. The work by C.P. Martín has been financially supported in part by the Spanish MINECO through grant FPA2014-54154-P. J.Y. has been fully supported by Croatian Science Foundation under Project No. IP-2014-09-9582. The work J.T. is conducted under the European Commission and the Croatian Ministry of Science, Education and Sports Co-Financing Agreement No. 291823. In particular, J.T. acknowledges project financing by the Marie Curie FP7-PEOPLE-2011-COFUND program NEWFELPRO: Grant Agreement No. 69, and Max-Planck-Institute for Physics, and W. Hollik for hospitality. J.T. would also like to acknowledge L. Álvarez-Gaume for fruitful discussions and CERN Theory Division, where part of this work was conducted, for hospitality. We would like to acknowledge the COST Action MP1405 (QSPACE). We would also like to thank J. Erdmenger, W. Hollik and A.Ilakovac, for fruitful discussions. A great deal of computation was done by using MATHEMATICA 8.0Mathematica [28] plus the tensor algebra package xACT [29]. Special thanks to A. Ilakovac and D. Kekez for the computer software and hardware support.