手征有效场论的功率计数区及其改进
Power Counting Regime of Chiral Effective Field Theory and Beyond
摘要：
手征有效场论补充了时空格子上量子色动力学（QCD）的数值模拟。它提供了一个模型无关的形式主义连接晶格模拟结果在有限的体积和各种夸克质量的物理世界。手征展开的渐近性质将焦点放在展开的前几项上。因此，手征有效场论的功率计数区（PCR）的知识与展开式本身的知识一样重要，其中展开式的高阶项可以被认为是可忽略的。通过考虑各种重整化方案和相关参数，建立了识别PCR的技术，其中结果与重整化方案无关。核子质量被认为是说明这一一般方法的基准。由于PCR是小的，数值模拟结果也检查搜索可能存在的内在尺度，它可以用于在一个非微扰的方式来描述晶格模拟结果以外的PCR。积极的结果，提高目前乐观的应用手性微扰理论超越PCR的报告。
英文摘要：
Chiral effective field theory complements numerical simulations of quantum chromodynamics (QCD) on a space-time lattice. It provides a model-independent formalism for connecting lattice simulation results at finite volume and a variety of quark masses to the physical world. The asymptotic nature of the chiral expansion places the focus on the first few terms of the expansion. Thus, knowledge of the power-counting regime (PCR) of chiral effective field theory, where higher-order terms of the expansion may be regarded as negligible, is as important as knowledge of the expansion itself. Through the consideration of a variety of renormalization schemes and associated parameters, techniques to identify the PCR where results are independent of the renormalization scheme are established. The nucleon mass is considered as a benchmark for illustrating this general approach. Because the PCR is small, the numerical simulation results are also examined to search for the possible presence of an intrinsic scale which may be used in a nonperturbative manner to describe lattice simulation results outside of the PCR. Positive results that improve on the current optimistic application of chiral perturbation theory beyond the PCR are reported.
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