Renormalization of minimally doubled fermions
Renormalization of minimally doubled fermions
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最小二重费米子的重整化
DOI：
10.1007/jhep09(2010)027
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发表时间：
2010
影响因子：
5.4
通讯作者：
H. Wittig
中科院分区：
文献类型：
--
作者：
S. Capitani;M. Creutz;J. Weber;H. Wittig
我们研究了微扰论中最小加倍费米子在单圈处的重整化性质。我们的研究是基于Boriçi-Creutz和Karsten-Wilczek的两个特定的实现。这两种公式的共同特征是超立方对称性的破缺，这要求晶格作用由合适的反项补充。我们表明，在每种情况下，需要三个counterterterms，并确定其系数的微扰理论中的一个循环。对于这两种作用，我们计算了胶子的真空极化。它表明，没有出现的权力分歧，所有的贡献所产生的破坏洛伦兹对称性被抵消的反项。我们还导出了Karsten-Wilczek费米子的守恒矢量流和轴矢量流。与先前研究的Boriçi-Creutz作用一样，我们得到了简单的表达式，只涉及最近邻点。我们建议的方法如何固定的系数的counterterterms非微扰和讨论的影响，我们的研究结果为实际模拟。
We investigate the renormalization properties of minimally doubled fermions, at one loop in perturbation theory. Our study is based on the two particular realizations of Boriçi-Creutz and Karsten-Wilczek. A common feature of both formulations is the breaking of hyper-cubic symmetry, which requires that the lattice actions are supplemented by suitable counterterms. We show that three counterterms are required in each case and determine their coefficients to one loop in perturbation theory. For both actions we compute the vacuum polarization of the gluon. It is shown that no power divergences appear and that all contributions which arise from the breaking of Lorentz symmetry are cancelled by the counterterms. We also derive the conserved vector and axial-vector currents for Karsten-Wilczek fermions. Like in the case of the previously studied Boriçi-Creutz action, one obtains simple expressions, involving only nearest-neighbour sites. We suggest methods how to fix the coefficients of the counterterms non-perturbatively and discuss the implications of our findings for practical simulations.
基于高维超金刚石晶格的晶格费米子
DOI：
--
发表时间：
2010
期刊：
Progress of Theoretical Physics 123
影响因子：
--
作者：
木村太郎;三角樹弘
通讯作者：
三角樹弘