Sharpe-Singleton场景的实现
The Realization of the Sharpe-Singleton Scenario
摘要：
分析了双味格点量子色动力学中Wilson Dirac算符的微观谱密度。计算包括了微观极限下手征拉格朗日量的首阶a^2修正。结果被用来演示如何实现的Sharpe-Singleton一阶场景的特征值的威尔逊狄拉克运营商。我们表明，夏普-单例方案只发生在理论与动力学费米子，而青木阶段可以实现淬火以及非淬火理论。此外，我们给出了γ_5-厄米性对Wilson手征微扰理论附加低能常数的限制。
英文摘要：
The microscopic spectral density of the Wilson Dirac operator for two flavor lattice QCD is analyzed. The computation includes the leading order a^2 corrections of the chiral Lagrangian in the microscopic limit. The result is used to demonstrate how the Sharpe-Singleton first order scenario is realized in terms of the eigenvalues of the Wilson Dirac operator. We show that the Sharpe-Singleton scenario only takes place in the theory with dynamical fermions whereas the Aoki phase can be realized in the quenched as well as the unquenched theory. Moreover, we give constraints imposed by gamma_5-Hermiticity on the additional low energy constants of Wilson chiral perturbation theory.
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