Gauged Gross--Neveu model with overlap fermions
Gauged Gross--Neveu model with overlap fermions
复制标题
计量毛重--具有重叠费米子的 Neveu 模型
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
K. Nagao
中科院分区：
文献类型：
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作者：
I. Ichinose;K. Nagao
我们通过使用二维可解模型（测量 Gross-Neveu 模型）研究重叠晶格费米子的手性性质。在该模型中，当存在小但有限的费米子质量时，手性对称性会自发破缺。我们将准南部戈德斯通 (NG) 玻色子质量计算为裸费米子质量和重叠公式中两个参数的函数。我们发现，由于 L'uscher 发现的扩展手性对称性，准 NG 玻色子质量具有所需的性质。我们还证明了 PCAC 关系以所需的形式得到满足。还对重叠费米子和威尔逊晶格费米子进行了比较。
We investigate chiral properties of the overlap lattice fermion by using solvable model in two dimensions, the gauged Gross-Neveu model. In this model, the chiral symmetry is spontaneously broken in the presence of small but finite fermion mass. We calculate the quasi-Nambu-Goldstone(NG) boson mass as a function of the bare fermion mass and two parameters in the overlap formula. We find that the quasi-NG boson mass has desired properties as a result of the extended chiral symmetry found by L\"uscher. We also show the PCAC relation is satisfied in desired form. Comparison between the overlap and Wilson lattice fermions is also made.