Minimally doubled fermions at one loop
Minimally doubled fermions at one loop
复制标题
一次循环最少加倍费米子
DOI：
10.1016/j.physletb.2009.09.050
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发表时间：
2009
影响因子：
4.4
通讯作者：
H. Wittig
中科院分区：
文献类型：
--
作者：
S. Capitani;J. Weber;H. Wittig
最小双费米子被提出作为一种在非零晶格间距下实现手性对称的有效方法。利用单环点阵摄动理论，研究了它们的重整化性质。具体地说，我们研究了超立方对称的破坏后果，这是这类费米子离散化的一个典型特征。夸克自能的结果表明，四动量经历了线性发散的重整化。我们还计算了双线性夸克的重整化因子，构造了守恒矢量电流和轴矢量电流，并验证了后者在一个回路的重整化因子等于1。
Minimally doubled fermions have been proposed as a cost-effective realization of chiral symmetry at non-zero lattice spacing. Using lattice perturbation theory at one loop, we study their renormalization properties. Specifically, we investigate the consequences of the breaking of hyper-cubic symmetry, which is a typical feature of this class of fermionic discretizations. Our results for the quark self-energy indicate that the four-momentum undergoes a renormalization which is linearly divergent. We also compute renormalization factors for quark bilinears, construct the conserved vector and axial-vector currents and verify that at one loop the renormalization factors of the latter are equal to one.