1305.4510 (Toru Kojo et al.)

A renormalization group approach for QCD in a strong magnetic field    [PDF]

Toru Kojo, Nan Su

An Wilsonian renormalization group approach is applied, in order to include effects of the higher Landau levels for quarks in a set of renormalized parameters for the lowest Landau level (LLL), plus a set of operators made of the LLL fields. Most of the calculations can be done within perturbation theory for hard gluons, thanks to form factors of quark-gluon vertices naturally arising from the Ritus bases to expand quark fields. As a part of such renormalization program, we compute the renormalized quark self-energy at 1-loop, including effects from all higher orbital levels. The result indicates that the higher orbital levels cease to strongly affect the LLL at a rather small magnetic field of (0.1 - 0.3) GeV^2.

View original: http://arxiv.org/abs/1305.4510