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arXiv 1607.01541hep-th
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θ-正合Seiberg-Witten映射下的量子对偶

Quantum duality under the theta-exact Seiberg-Witten map

Carmelo P. Martin, Josip Trampetic, Jiangyang You

备注：
47 pages, 21 figures. Version published in JHEP under the reference: JHEP09(2016)052
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摘要：

我们表明，在由耦合常数定义的微扰制度，θ-精确的Seiberg-Witten映射应用于非对易U（N）Yang-Mills -有或没有超对称-给出了一个普通的规范理论，在量子水平上，对偶于前者。我们这样做，通过使用壳DeWitt有效的作用量和尺寸正则化。我们显式地计算了由θ-精确Seiberg-Witten映射提供的单圈两点函数对普通U（1）理论的壳层上DeWitt有效作用量的贡献。我们发现在费曼规范的传播子中发现的非局部紫外发散几乎消失，所以它们在物理上是不相关的。我们还证明了二次非对易IR发散与规范固定无关，并且在U（1）理论的超对称版本中消失。

英文摘要：

We show that in the perturbative regime defined by the coupling constant, the theta-exact Seiberg-Witten map applied to noncommutative U(N) Yang-Mills --with or without Supersymmetry-- gives an ordinary gauge theory which is, at the quantum level, dual to the former. We do so by using the on-shell DeWitt effective action and dimensional regularization. We explicitly compute the one-loop two-point function contribution to the on-shell DeWitt effective action of the ordinary U(1) theory furnished by the theta-exact Seiberg-Witten map. We find that the non-local UV divergences found in the propagator in the Feynman gauge all but disappear, so that they are not physically relevant. We also show that the quadratic noncommutative IR divergences are gauge-fixing independent and go away in the Supersymmetric version of the U(1) theory.

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