Equivalence of quantum field theories related by the θ-exact Seiberg-Witten map
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2016
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Amer Physical Soc
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Abstract
The equivalence of the noncommutative U(N) quantum field theories related by the θ-exact Seiberg-Witten maps is, in this paper, proven to all orders in the perturbation theory with respect to the coupling constant. We show that this 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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© 2016 American Physical Society.
The work by C. P. Martin has been financially supported in part by the Spanish MINECO through Grant No. FPA2014-54154-P. The work of J. T. is conducted under the European Commission and the Croatian Ministry of Science, Education and Sports Co-Financing Agreement No. 291823, and he acknowledges project financing by the Marie Curie FP7-PEOPLE-2011-COFUND program NEWFELPRO: Grant Agreement No. 69. J. Y. has been fully supported by Croatian Science Foundation under Project No. IP-2014-09-9582. We acknowledge the support of the COST Action MP1405 (QSPACE). We would like to acknowledge L. Alvarez-Gaume and P. Minkowski for fruitful discussions and the CERN Theory Division, where part of this work was conducted, for hospitality. We would also like to thank J. Erdmenger and W. Hollik for fruitful discussions. J. Y. would like to acknowledge the Center of Theoretical Physics, College of Physical Science and Technology, Sichuan University, China, for hospitality during his visit, as well as Yan He, Xiao Liu, Hiroaki Nakajima, Bo Ning, Rakibur Rahman, Zheng Sun, Peng Wang, Houwen Wu, Haitang Yang, and Shuxuan Ying for fruitful discussions. A great deal of computation was done using MATHEMATICA 8.0 [22] plus the tensor algebra package xACT [23]. Special thanks to A. Ilakovac and D. Kekez for the computer software and hardware support.