GROSS–NEVEU MODEL WITH OVERLAP FERMIONS
GROSS–NEVEU MODEL WITH OVERLAP FERMIONS
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具有重叠费米子的 Gross-Neveu 模型
DOI：
10.1142/s0217732300000852
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发表时间：
1999
影响因子：
1.4
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
利用二维Gross-Neveu模型和规范场耦合，研究了重叠格点费米子的手征性质。该模型的手征性质类似于QCD 4，即手征对称性在有限小费米子质量下自发破缺，并且由于与规范场的耦合而出现手征反常。考虑到Luscher的扩展手征对称性，我们甚至在相互作用项中插入重叠Dirac算子，使得在有限格点间距下，包括它们在内的整个作用量在扩展手征变换下是不变的，尽管相互作用项变得非定域.我们计算了准Nambu-Goldstone玻色子的质量作为裸费米子质量和重叠形式主义中两个参数的函数，发现准Nambu-Goldstone玻色子由于扩展的手征对称性而具有所需的性质。此外，我们检查PCAC关系，并发现它是满足有限的晶格间距…
We investigate the chiral properties of overlap lattice fermion by using two-dimensional Gross–Neveu model coupled with a gauge field. Chiral properties of this model are similar to those of QCD4, i.e. the chiral symmetry is spontaneously broken in the presence of small but finite fermion mass and also there appears the chiral anomaly because of the coupling with the gauge field. To take into consideration Luscher's extended chiral symmetry, we insert overlap Dirac operator even in the interaction terms so that the whole action including them are invariant under the extended chiral transformation at finite lattice spacing though the interaction terms become nonlocal. We calculate mass of the quasi-Namb–Goldstone boson as a function of the bare fermion mass and two parameters in the overlap formalism and find that the quasi-Nambu–Goldstone boson has desired properties as a result of the extended chiral symmetry. Furthermore we examine the PCAC relation and find that it is satisfied at finite lattice spacin...