The permutation group coset method in calculations of gauge field vertices
AI De-zhen · Journal of Northwest Normal University · 2006
The permutation group coset method is used to derive the Feynman rules of trilinear vertex and quartic vertex of SU(2) gauge theory.Such a calculation procedure for simplifying gauge-field vertices is done by computing a derivative of field with a specific order and summing up all the derivative terms acted by permutation group,and it is then able to show the relation between the actions of gauge fields and its Feynman rules in a simple and clear manner.Furthermore,it can,in principle,be generalized to the derivations of higher ordered tree-like vertices of gauge fields.