标题： 积分方程方法中的Beta函数与精确重正化群 显示英文标题

标题： Beta Functions in the Integral Equation Approach to the Exact Renormalization Group

摘要： 我们将运行参数和反常维度纳入精确重正化群的框架中。 我们修改了实标量场理论的精确重正化群微分方程，使用了平方质量和标量场的反常维度。 在之前引入积分方程方法研究精确重正化群的一篇文章之后，我们重新表述了修正后的微分方程为积分方程，直接通过运行的平方质量和自耦合常数来定义连续极限。 利用修正后的精确重正化群方程讨论了任意动量截断函数变化下连续极限的普适性。 显示英文摘要

摘要： We incorporate running parameters and anomalous dimensions into the framework of the exact renormalization group. We modify the exact renormalization group differential equations for a real scalar field theory, using the anomalous dimensions of the squared mass and the scalar field. Following a previous paper in which an integral equation approach to the exact renormalization group was introduced, we reformulate the modified differential equations as integral equations that define the continuum limit directly in terms of a running squared mass and self-coupling constant. Universality of the continuum limit under an arbitrary change of the momentum cutoff function is discussed using the modified exact renormalization group equations.