Chiral effective field theory for few-nucleon systems: a new pertubative formulation and Pade summation.

少核子系统的手性有效场理论：一种新的微扰公式和帕德求和。

• 批准号: 190046547
• 负责人: Dr. Jambul Gegelia
• 金额: --
• 依托单位: Institut für Theoretische Physik II: Hadronen- und Teilchenphysik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2011
• 资助国家: 德国
• 起止时间: 2010-12-31 至 2013-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/190046547?language=en
• 关键词: Chiral; effective; field; theory; few

Chiral effective field theory of strong interactions is applicable to the low energy sector, where the fundamental theory, the Quantum Chromodynamics, cannot be solved. Existing successful application of this approach to the few-nucleon sector uses the numerical methods and is based on the cutoff regularization. This method has a drawback that it violates the underlying symmetries. While the symmetry breaking contributions are formally of a higher order, the numerical calculations do not allow to accurately estimate their effect. Another nontrivial problem, following from the violation of underlying symmetries, is that the inclusion of the electromagnetic interaction within this formalism is very problematic. Recently we have suggested a new symmetry-preserving approach to chiral effective field theory. This approach has an important advantage that it preserves all symmetries of the theory. In this project, we propose to combine the advantages of the symmetry-preserving framework with the new formulation of the approach for nucleon-nucleon interaction with perturbative pions that has been suggested recently by Beane, Kaplan and Vuorinen.

强相互作用的手性有效场理论适用于低能领域，在那里，量子色动力学的基本理论无法解决。该方法在少核扇区的成功应用是基于截止正则化的数值方法。这种方法有一个缺点，那就是它违反了底层的对称性。虽然对称破缺的贡献在形式上是高阶的，但数值计算不能准确地估计它们的影响。另一个重要的问题是，在违反基础对称性之后，将电磁相互作用包含在这个形式体系中是非常有问题的。最近，我们提出了一种新的手性有效场论的对称性保持方法。这种方法有一个重要的优点，即它保留了理论的所有对称性。在这个项目中，我们建议将对称保持框架的优势与Beane， Kaplan和Vuorinen最近提出的核子-核子相互作用与摄动介子的新方法结合起来。