Lattice QCD without tuning, mixing and current renormalization

被引:199
作者
Hasenfratz, P [1 ]
机构
[1] Univ Bern, Inst Theoret Phys, CH-3012 Bern, Switzerland
关键词
lattice field theory; chiral symmetry; Ginsparg-Wilson relation;
D O I
10.1016/S0550-3213(98)00399-X
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
The classically perfect action of QCD requires no tuning to get the pion massless in the broken phase: the critical bare mass m(q)(c) is zero. Neither the vector nor the flavour non-singlet axial vector currents need renormalization. Further, there is no mixing between 4-fermion operators in different chiral representations. The order parameter of chiral symmetry requires, however, a subtraction which is given here explicitly. These results are based on the fact that the fixed point action satisfies the Ginsparg-Wilson remnant chiral symmetry condition. On chiral symmetry related questions any other local solution of this condition will produce similar results. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:401 / 409
页数:9
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