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A renormalization group approach for QCD in a strong magnetic field

Toru Kojo
(
- Bielefeld U.
)
,
Nan Su
(
- Bielefeld U.
)

May 20, 2013

7 pages

Published in:

Phys.Lett.B 726 (2013) 839-845

Published: Nov 4, 2013

e-Print:

1305.4510 [hep-ph]

DOI:

10.1016/j.physletb.2013.09.023

Report number:

BI-TP-2013-12

View in:

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Abstract: (Elsevier)

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) GeV2 .

Note:

15 pages, 5 figures: v2) published version for PLB, typos were corrected, differences from the previous RG studies are emphasized

magnetic field: high
quark: propagator
renormalization group
quantum chromodynamics
perturbation theory
renormalization
form factor
quark gluon
gluon

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Figures(8)

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