%0 Journal Article %T Induced Yang-Mills-Non-Abelian-Chern-Simons action in three dimensions %J Iranian Journal of Physics Research %I Isfahan University of Technology, The Physics Society of Iran %Z 1682-6957 %A Ghasemkhani, M %A Haghgouyan, Z %A Alipour-Khoobdeh, M %D 2021 %\ 11/22/2021 %V 21 %N 3 %P 461-470 %! Induced Yang-Mills-Non-Abelian-Chern-Simons action in three dimensions %K effective action %K Yang-Mills action %K Non-Abelian Chern-Simons action %K gluon's n-point functions %R 10.47176/ijpr.21.3.01139 %X In this paper, we consider the massive quarks interacting with an external non-abelian gauge field (gluon) in (1+2)-dimensional spacetime. By integrating out the quark fields, we obtain the general structure of the one-loop effective action for the gluons coupled to the quarks. Next, we compute the one-loop Feynman graphs related to one, two, three and four-point functions for the gluon, by using dimensional regularization. We explicitly show that the resulting effective action, at the low-energy limit (), leads to the non-Abelian Chern-Simons and Yang-Mills action. This induced action, arising from the quantum corrections due to the fermionic loops, also respects Lorentz and gauge invariance. %U https://ijpr.iut.ac.ir/article_1723_e111e866132314a5d3e2955ec62ecca2.pdf