精确U（1）R对称格点上N=1 Wess-Zumino模型的反射正性
Reflection Positivity of N=1 Wess-Zumino model on the lattice with exact U(1)_R symmetry
摘要：
通过使用重叠的马约拉纳费米子，${\cal N}=1$手征多重数可以被公式化，这样超对称性是明显的，真空能量在自由极限被抵消，这要归功于自由作用量的双线性性质。然而，有人指出，在这个公式中，反射正性在作用的玻色子部分是违反的，虽然它在费米部分是满意的。发现玻色两点关联函数的谱密度仅对空间动量$a | p_k | \lesssim 1.72$ $(k=1,2,3)$为正.然后指出，在构造具有重叠Majorana费米子的${\cal N}=1$ Wess-Zumino模型时，可以采用一种更简单的最近邻玻色子作用量，而不考虑自由极限所体现的超对称性.该模型仍然保持了U（1）$_R$对称性，并满足反射正性。
英文摘要：
By using overlap Majorana fermions, the ${\cal N}=1$ chiral multiple can be formulated so that the supersymmetry is manifest and the vacuum energy is cancelled in the free limit, thanks to the bilinear nature of the free action. It is pointed out, however, that in this formulation the reflection positivity is violated in the bosonic part of the action, although it is satisfied in the fermionic part. It is found that the positivity of the spectral density of the bosonic two-point correlation function is ensured only for the spacial momenta $a | p_k | \lesssim 1.72$ $(k=1,2,3)$. It is then argued that in formulating ${\cal N}=1$ Wess-Zumino model with the overlap Majorana fermion, one may adopt a simpler nearest-neighbor bosonic action, discarding the free limit manifest supersymmetry. The model still preserves the would-be U(1)$_R$ symmetry and satisfies the reflection positivity.
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