标题： 具有手征不变晶格费米子作用的希格斯-杨系统相结构 显示英文标题

标题： Phase structure of the Higgs-Yukawa systems with chirally invariant lattice fermion actions

摘要： 我们发展了一种分析技术，用于研究具有径向冻结的标量场和手征不变的格点费米子作用的$Z_2$、$U(1)$和$SU(2)$格点规范-Higgs-Yukawa系统的相结构。该方法基于变分平均场近似。我们分析了不同形式的格点费米子作用下这些系统的相图，并表明其关键取决于对称群和作用的形式。我们讨论了与连续物理相关的可能非平凡不动点在图中的位置，并论证了候选者只能存在于具有 SLAC 作用的$Z_2$系统以及具有平凡和 SLAC 作用的$U(1)$系统中。 [注： 通过乘积，hep-lat/9309010 中方程 (3.5) 的缺失项被重构，但这仅影响该参考文献的第 4.3 节（图 3）（参见本文图 2(c)）。] 显示英文摘要

摘要： We develop analytical technique for examining phase structure of $Z_2$, $U(1)$, and $SU(2)$ lattice Higgs-Yukawa systems with radially frozen Higgs fields and chirally invariant lattice fermion actions. The method is based on variational mean field approximation. We analyse phase diagrams of such systems with different forms of lattice fermion actions and demonstrate that it crucially depends both on the symmetry group and on the form of the action. We discuss location in the diagrams of possible non-trivial fixed points relevant to continuum physics, and argue that the candidates can exist only in $Z_2$ system with SLAC action and $U(1)$ systems with naive and SLAC actions. [Note: By a product, missing term in Eq. (3.5) of hep-lat/9309010 is reconstructed, that, however, affects only the result of Sect. 4.3 (Fig. 3) of that reference (cf. Fig. 2(c) of this paper).]