论文标题
量子MHV理论的一环有效动作方法
One-Loop Effective Action Approach to Quantum MHV Theory
论文作者
论文摘要
众所周知,MHV动作,即包含所有违反顶点的所有最大螺旋性的动作,就不足以进行循环计算。为了系统地开发循环贡献并确保没有缺失的术语,我们建议通过一环有效的动作方法制定量子MHV动作。光锥米尔理论中的二次场波动是明确整合的,其次是经典的规范场变换。我们通过计算一个循环$(++++)$和$(+++ - )$振幅来测试该方法,即无法从普通MHV操作中计算的振幅。这种方法可以进一步用于明确定义通过现场转换与杨米尔斯理论相关的其他理论中的循环校正。
It is well known that the MHV action, i.e. the action containing all the maximally helicity violating vertices, is alone not sufficient for loop computations. In order to develop loop contributions systematically and to ensure that there are no missing terms, we propose to formulate the quantum MHV action via one-loop effective action approach. The quadratic field fluctuations in the light cone Yang-Mills theory are explicitly integrated, followed by the classical canonical field transformation. We test the approach by calculating one loop $(++++)$ and $(+++-)$ amplitudes, i.e. amplitudes that cannot be calculated from ordinary MHV action. Such an approach can be further used to unambiguously define loop corrections in other theories related to Yang-Mills theory by field transformations.