混合Action外推公式的普适性
Universality of Mixed Action Extrapolation Formulae
摘要：
具有手征对称价费米子的混合作用量理论在晶格计算水平以及低能混合作用量有效场论的构造和实现方面都表现出非常令人满意的特征。在这项工作中，我们表明，当这样的混合作用有效场论投影到价部门，拉格朗日和外推公式成为普遍的形式，通过下一个领先的顺序，为所有变种的离散化方法用于海洋费米子。我们的结论依赖于价夸克的手征性质。结果表明，对于与QCD属于同一普适类的所有海夸克方法，各种混合作用手征拉格朗日量中的物理系数的数值直到格点间距相关的修正都是相同的。这使我们能够构造一个处方，以确定混合作用量外推公式的一个大类的强子关联函数计算的部分猝灭手征微扰理论在单圈水平。作为具体的例子，我们将这个公式应用于核子扭曲2矩阵元和核子-核子系统。此外，我们确定了中子EDM的混合作用外推公式，因为这提供了一个很好的例子，一个θ依赖的可观测量，这些可观测量是例外，我们的处方。
英文摘要：
Mixed action theories with chirally symmetric valence fermions exhibit very desirable features both at the level of the lattice calculations as well as in the construction and implementation of the low energy mixed action effective field theory. In this work we show that when such a mixed action effective field theory is projected onto the valence sector, both the Lagrangian and the extrapolation formulae become universal in form through next to leading order, for all variants of discretization methods used for the sea fermions. Our conclusion relies on the chiral nature of the valence quarks. The result implies that for all sea quark methods which are in the same universality class as QCD, the numerical values of the physical coefficients in the various mixed action chiral Lagrangians will be the same up to lattice spacing dependent corrections. This allows us to construct a prescription to determine the mixed action extrapolation formulae for a large class of hadronic correlation functions computed in partially quenched chiral perturbation theory at the one-loop level. For specific examples, we apply this prescription to the nucleon twist--2 matrix elements and the nucleon--nucleon system. In addition, we determine the mixed action extrapolation formula for the neutron EDM as this provides a nice example of a theta-dependent observable; these observables are exceptions to our prescription.
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