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.
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Ghasemkhani,M. , Haghgouyan,Z. and Alipour-Khoobdeh,M. (2021). Induced Yang-Mills-Non-Abelian-Chern-Simons action in three dimensions. Iranian Journal of Physics Research, 21(3), 461-470. doi: 10.47176/ijpr.21.3.01139
MLA
Ghasemkhani,M. , , Haghgouyan,Z. , and Alipour-Khoobdeh,M. . "Induced Yang-Mills-Non-Abelian-Chern-Simons action in three dimensions", Iranian Journal of Physics Research, 21, 3, 2021, 461-470. doi: 10.47176/ijpr.21.3.01139
HARVARD
Ghasemkhani M., Haghgouyan Z., Alipour-Khoobdeh M. (2021). 'Induced Yang-Mills-Non-Abelian-Chern-Simons action in three dimensions', Iranian Journal of Physics Research, 21(3), pp. 461-470. doi: 10.47176/ijpr.21.3.01139
CHICAGO
M. Ghasemkhani, Z. Haghgouyan and M. Alipour-Khoobdeh, "Induced Yang-Mills-Non-Abelian-Chern-Simons action in three dimensions," Iranian Journal of Physics Research, 21 3 (2021): 461-470, doi: 10.47176/ijpr.21.3.01139
VANCOUVER
Ghasemkhani M., Haghgouyan Z., Alipour-Khoobdeh M. Induced Yang-Mills-Non-Abelian-Chern-Simons action in three dimensions. Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2021; 21(3): 461-470. doi: 10.47176/ijpr.21.3.01139
