2024/04/15 by Ghasemkhani, M., Soleimani, G., Bufalo, R.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2404.10134
In this work, we study the perturbative generation of the gauge invariant effective action for the non-Abelian gauge field in a (2+1)-dimensional spacetime. We present a detailed analysis of the two, three and four-point functions in order to determine the non-Abelian Chern-Simons terms (parity odd) and Yang-Mills terms (parity even). Moreover, these terms are supplemented by the higher-derivative corrections which resulted in the Alekseev-Arbuzov-Baikov effective action (parity even) plus the higher-derivative (HD) corrections to the Chern-Simons terms (parity odd). In order to highlight some features about the perturbative generation of the effective action, we present a discussion based on the dimensional analysis, which allows us to establish the general structure of the permissible terms to guarantee the gauge invariance of the higher-derivative parts.