论文标题
一般标量授权分配组方程在三环阶
General scalar renormalisation group equations at three-loop order
论文作者
论文摘要
对于四个维度的任意标量QFTS，在$ \ overline {\ text {ms}} $方案中以三环订单计算了四范围的术语和立场异常维度的重量级化组方程。避免使用特定模型的预先存在的文献表达式，并获得一般理论的模板。我们重申已知的四环表达式，并从中得出$β$函数的$β$函数。例如，将结果应用于计算$ u（n）\ times u（n）$标量理论中的所有重量级化组方程。
For arbitrary scalar QFTs in four dimensions, renormalisation group equations of quartic and cubic interactions, mass terms, as well as field anomalous dimensions are computed at three-loop order in the $\overline{\text{MS}}$ scheme. Utilising pre-existing literature expressions for a specific model, loop integrals are avoided and templates for general theories are obtained. We reiterate known four-loop expressions, and derive $β$ functions for scalar masses and cubic interactions from it. As an example, the results are applied to compute all renormalisation group equations in $U(n) \times U(n)$ scalar theories.
