Domain wall fermions for planar physics
Domain wall fermions for planar physics
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平面物理的畴壁费米子
DOI：
10.1007/jhep09(2015)047
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发表时间：
2015
影响因子：
5.4
通讯作者：
S. Hands
中科院分区：
文献类型：
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作者：
S. Hands
在2+1维空间中，旋量代数的四分量表示形式的狄拉克费米子是许多有趣的模型场论和凝聚态现象的有效描述的基础。本文探讨了格点公式，保持整体U（2Nf）对称性存在于无质量极限，其故障U（Nf）<$U（Nf）实现三个独立的宇称不变的费米子质量项。我列出了概括的Ginsparg-Wilson关系，导致制定一个重叠算子，并探讨剩余的全球对称性离开连续形式的条款的顺序的晶格间距。在2+1+1d中定义了一个畴壁公式，并给出了数值证据，在猝灭非紧QED中使用所有三个质量项的重新公式，以双线性凝聚和介子相关计算的形式，表明U（2Nf）对称性在畴壁分离Ls → ∞的极限下恢复。本文讨论了可约费米子的重叠公式和畴壁公式仅在连续极限下重合的可能性。
A bstractIn 2+1 dimensions, Dirac fermions in reducible, i.e. four-component representations of the spinor algebra form the basis of many interesting model field theories and effective descriptions of condensed matter phenomena. This paper explores lattice formulations which preserve the global U(2Nf) symmetry present in the massless limit, and its breakdown to U(Nf)⊗U(Nf) implemented by three independent and parity-invariant fermion mass terms. I set out generalisations of the Ginsparg-Wilson relation, leading to a formulation of an overlap operator, and explore the remnants of the global symmetries which depart from the continuum form by terms of order of the lattice spacing. I also define a domain wall formulation in 2+1+1d, and present numerical evidence, in the form of bilinear condensate and meson correlator calculations in quenched non-compact QED using reformulations of all three mass terms, to show that U(2Nf) symmetry is recovered in the limit that the domain-wall separation Ls → ∞. The possibility that overlap and domain wall formulations of reducible fermions may coincide only in the continuum limit is discussed.