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arXiv 1804.09009hep-th
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Wess-Zumino规范中纯$\mathcal{N}=1$超Yang-Mills在局部复合算子$A^{2}$和$\barλλ$存在下的重整化

Renormalizability of pure $\mathcal{N}=1$ Super Yang-Mills in the Wess-Zumino gauge in the presence of the local composite operators $A^{2}$ and $\barλλ$

R. C. Terin, M. A. L. Capri, S. P. Sorella, H. C. Toledo

备注：
Poster presented at the XIV International Workshop on Hadron Physics, Florianópolis, Brazil, March 2018
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摘要：

在Wess-Zumino规范下，利用Landau条件分析了局部复合算符$AA$，$A_μγ_μλ$和$\barλλ$存在时$\mathcal{N}=1$ Super Yang-Mills理论的重整化.利用代数重整化方法给出了该理论可重整化的全阶证明。只需要三个重整化常数，它们可以与耦合常数、规范场和胶子重整化相一致。在局部复合算符的存在下，朗道规范中胶子-鬼-反鬼顶点的非重整化定理在$\mathcal{N}=1$ Super Yang-Mills中仍然成立.此外，由于Wess-Zumino规范场的超对称性的非线性实现，规范场的重整化因子与胶子的重整化因子不同。

英文摘要：

The renormalization of $\mathcal{N}=1$ Super Yang-Mills theory with the presence of the local composite operators $AA$, $A_μγ_μλ$ and $\barλλ$ is analyzed in the Wess-Zumino gauge, employing the Landau condition. An all-orders proof of the renormalizability of the theory is given by means of the Algebraic Renormalization procedure. Only three renormalization constants are needed, which can be identified with the coupling constant, gauge field, and gluino renormalization. The non-renormalization theorem of the gluon--ghost--anti-ghost vertex in the Landau gauge is shown to remain valid in $\mathcal{N}=1$ Super Yang-Mills with the presence of the local composite operators. Moreover, due to the non-linear realization of the supersymmetry in the Wess-Zumino gauge, the renormalization factor of the gauge field turns out to be different from that of the gluino.

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