Explicit calculation of the two-loop corrections to the chiral magnetic effect with the NJL model
Year: 2018
Type: article
Abstract: The chiral magnetic effect (CME) is usually believed to not receive higher-order corrections due to the nonrenormalization of the AVV triangle diagram in the framework of quantum field theory. However, the CME-relevant triangle, which is obtained by expanding the current-current correlation, requires zero momentum on the axial vertex and is not equivalent to the general AVV triangle when taking the zero-momentum limit owing to the infrared problem on the axial vertex. Therefore, it is still significant to check if there exists perturbative higher-order corrections to the current-current correlation. In this paper, we explicitly calculate the two-loop corrections of CME within the Nambu-Jona-Lasinio model with a Chern-Simons term, which ensures a consistent ${\ensuremath{\mu}}_{5}$. The result shows the two-loop corrections to the CME conductivity are zero, which confirms the nonrenomalization of CME conductivity.
Authors: Kit-fai Chu, Peng-hui Huang, Hui Liu
Institution: Jinan University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Award: G109660224
OpenAlex ID: W2769252548