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

被引：13

作者：

Martin, Carmelo P. ^{[1
]}

Trampetic, Josip ^{[2
,3
]}

You, Jiangyang ^{[4
]}

机构：

[1] Univ Complutense Madrid, Fac Ciencias Fis, Dept Fis Teor 1, E-28040 Madrid, Spain

[2] Rudjer Boskovic Inst, Div Expt Phys, Bijenicka 54, Zagreb 10000, Croatia

[3] Max Planck Inst Phys & Astrophys, Werner Heisenberg Inst, Fohringer Ring 6, D-80805 Munich, Germany

[4] Rudjer Boskovic Inst, Div Theoret Phys, Bijenicka 54, Zagreb 10000, Croatia

来源：

PHYSICAL REVIEW D | 2016年 / 94卷 / 04期

关键词：

YANG-MILLS; ONE-LOOP; RENORMALIZATION;

D O I：

10.1103/PhysRevD.94.041703

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The equivalence of the noncommutative U(N) quantum field theories related by the theta-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.

引用

页数：5

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