arXiv 1503.028752015-03-10hep-th

场重定义在一般$N=\frac{1}{2}$超对称规范理论重整化中的作用

The role of field redefinition on renormalisability of a general $N=\frac{1}{2}$ supersymmetric gauge theories

A. F. Kord, M. Haddadi Moghaddam, N. Ghasempour

备注：: arXiv admin note: text overlap with arXiv:hep-th/0505248 by other authors
发表信息：: Nuclear Physics B893 (2015)391
DOI：: 10.1016/j.nuclphysb.2015.02.014

摘要：

研究了与场重定义有关的非反对易超对称规范理论的可重整性问题。我们研究了一个回路的修正$N=\frac{1}{2}$超对称$SU(N)\times U(1)$规范理论耦合到手征物质的组件形式主义，并显示的程序已引入重整化是有问题的，因为一些条款所需的理论的重整化是错过了从拉格朗日。为了证明该理论是可重整化的，我们重新定义了Gaugino场和辅助场（$λ, \bar F$），从而得到了分量形式中拉格朗日量的修正形式。然后，我们证明了修正的拉格朗日量中含有非反对易超对称规范场理论重整化所必需的附加项。最后用标准重整化方法证明了$N = \frac{1}{2}$超对称规范理论在单圈修正下是可重整化的，并且证明了有效作用量是规范不变的.

英文摘要：

We investigate some issues on renormalisability of non-anticommutative supersymmetric gauge theory related to field redefinitions. We study one loop corrections to $N=\frac{1}{2}$ supersymmetric $SU(N)\times U(1)$ gauge theory coupled to chiral matter in component formalism, and show the procedure which has been introduced for renormalisation is problematic because some terms which are needed for the renormalisability of theory are missed from the Lagrangian. In order to prove the theory is renormalisable, we redefine the gaugino and the auxiliary fields($λ, \bar F$), which result in a modified form of the Lagrangian in the component formalism. Then, we show the modified Lagrangian has extra terms which are necessary for renormalisability of non-anticommutative supersymmetric gauge field theories. Finally we prove $N = \frac{1}{2}$ supersymmetric gauge theory is renormalisable up to one loop corrections using standard method of renormalisation; besides, it is shown the effective action is gauge invariant.

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