A renormalization group approach for QCD in a strong magnetic field
arXiv:1305.4510 · doi:10.1016/j.physletb.2013.09.023
Abstract
A Wilsonian renormalization group approach is applied, in order to include effects of the higher Landau levels for quarks into 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 in a model-independent way with perturbation theory for hard gluons, thanks to form factors of quark-gluon vertices that arise from the Ritus bases for 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.
15 pages, 5 figures: v2) published version for PLB, typos were corrected, differences from the previous RG studies are emphasized
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