Fermion actions extracted from lattice super Yang-Mills theories

被引:8
|
作者
Misumi, Tatsuhiro [1 ,2 ]
机构
[1] Keio Univ, Dept Phys, Yokohama, Kanagawa 2238521, Japan
[2] Keio Univ, Res & Educ Ctr Nat Sci, Yokohama, Kanagawa 2238521, Japan
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 12期
关键词
Lattice Quantum Field Theory; Lattice QCD; Extended Supersymmetry; Topological Field Theories; CHIRAL FERMIONS; 2-DIMENSIONAL N; 2,2 SQCD; FORMULATION; SUPERSYMMETRY; SYMMETRIES; QUARKS; MASS; QCD;
D O I
10.1007/JHEP12(2013)063
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We revisit 2D = (2, 2) super Yang-Mills lattice formulation (Sugino model) to investigate its fermion action with two (Majorana) fermion flavors and exact chiral-U(1) (R) symmetry. We show that the reconcilement of chiral symmetry and absence of further species-doubling originates in the 4D clifford algebra structure of the action, where 2D two flavors are spuriously treated as a single 4D four-spinor with four 4D gamma matrices introduced into kinetic and Wilson terms. This fermion construction based on the higher-dimensional clifford algebra is extended to four dimensions in two manners: (1) pseudo-8D sixteen-spinor treatment of 4D four flavors with eight 8D gamma matrices, (2) pseudo-6D eight-spinor treatment of 4D two flavors with five out of six 6D gamma matrices. We obtain 4D four-species and two-species lattice fermions with unbroken subgroup of chiral symmetry and other essential properties. We discuss their relations to staggered and Wilson twisted-mass fermions. We also discuss their potential feedback to 4D super Yang-Mills lattice formulations.
引用
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页数:22
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