Lattice perturbation theory and Renormalisation

格微扰理论和重正化

• 批准号: 5361255
• 负责人: Privatdozent Dr. Arwed Schiller
• 金额: --
• 依托单位: Institut für Theoretische Physik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2002
• 资助国家: 德国
• 起止时间: 2001-12-31 至 2008-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5361255?language=en
• 关键词: Lattice; perturbation; theory; Renormalisation

Information on most properties of hadrons is derived from hadronic matrix elements of local operators which can be calculated in the framework of lattice QCD. To relate the lattice results to continuum quantities the renormalisation of the operators must be known. We concentrate on the perturbative renormalisation and will compare those results with non-perturbatively obtained renormalisation constants. We plan to derive the renormalisation factors as well as the improvement coefficients for two-quark operators with more than one covariant derivative in one-loop lattice perturbation theory. (Results for operators with a single covariant derivative have already been published.) This will allow us to compute the lowest few moments of the polarised and unpolarised nucleon structure functions. The renormalisation and improvement of four-quark operators will be investigated. The results are relevant for, e.g., higher twist effects in deep inelastic scattering and weak decays of heavy quarks. Techniques will be developed to include higher-loop contributions. A new renormalisation program is planned to be developed for the first moments of generalised parton distribution functions.

有关黑龙的大多数属性的信息都是从本地运算符的Hadroonic矩阵元素中得出的，这些元素可以在晶格QCD的框架中计算。为了将晶格结果与连续数量相关联，必须知道操作员的重新分配。我们专注于扰动重量级化，并将将这些结果与非扰动性获得的肾上好标准进行比较。我们计划在一环晶格扰动理论中得出具有多个协变量的两夸克运算符的重态化因子以及改进系数。 （已经发布了具有单个协变量衍生物的运算符的结果。）这将使我们能够计算极化和未极化核子结构功能的最低矩。将研究四夸克运营商的重态度和改进。结果与例如深度非弹性散射和较弱的夸克衰减的较高扭曲作用有关。将开发技术以包括更高环的贡献。计划在广义Parton分布功能的第一瞬间制定一个新的重量法化计划。