Chiral-Symmetry Breaking in (1+1)-Dimensional Lattice Gauge Theories

Chiral-Symmetry Breaking in (1+1)-Dimensional Lattice Gauge Theories
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DOI:
10.1088/0253-6102/16/4/505
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发表时间:
1991-12
影响因子:
3.1
通讯作者:
Xiang-Qian Luo
Xiang-Qian Luo
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Xiang-Qian Luo

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利用酉变换和变分方法对(1+1)维哈密顿晶格规范理论和含费米子的真空结构进行了解析研究。讨论了连续介质上算子与晶格上算子的匹配问题。手性对称被证明是自发破坏的。并分析了物种倍增效应。得到了令人满意的手性阶参数标度行为,并与连续统预测相吻合。
The (1+1)-dimensional Hamiltonian lattice gauge theories and the vacuum structure with fermions are studied analytically by using a unitary transformation and the variational method. The matching of the operators in the continuum and on the lattice is discussed. The chiral symmetry is shown to be broken spontaneously. The effect of species doubling is also analyzed. Satisfactory scaling behavior for the chiral order parameter and coincidence with the continuum predictions are obtained.