论文标题
通过外部和内部动力学分离，现场理论的界限光谱
Bound-state spectra of field theories through separation of external and internal dynamics
论文作者
论文摘要
在功能重量级化组（FRG）框架中计算结合状态光谱的一般策略是一种一般策略。在$ n $ n $点功能中引入了表征结合状态的动态“坐标”，以耦合参数为耦合参数，该函数代表了扩展有效的动作功能中代表绑定状态的有效字段。他们的量表依赖性是通过功能肾范围化组方程计算的。在红外线中，构成场之间的相互作用电势被提取为耦合参数的平滑函数。最终，通过解决针对传输到坐标的耦合参数制定的schrödinger特征值问题，可以找到定量的结合状态溶液。通过分析最近发表的一项味道手性Nambu-Jona-Lasinio模型的FRG研究来说明了所提出的策略。
A general strategy is formulated for computing bound state spectra in the framework of functional renormalisation group (FRG). Dynamical "coordinates" characterising bound states are introduced as coupling parameters in the $n$-point functions of effective fields representing the bound states in an extended effective action functional. Their scale dependence is computed with functional renormalisation group equations. In the infrared an interaction potential among the constituting fields is extracted as smooth function of the coupling parameters. Eventually quantised bound state solutions are found by solving the Schrödinger eigenvalue problem formulated for the coupling parameters transmuted into coordinates. The proposed strategy is exemplified through the analysis of a recently published FRG study of the one-flavor chiral Nambu--Jona-Lasinio model.
