https://doi.org/10.1051/epjconf/201817507014
Landau levels in QCD in an external magnetic field
1
Institute for Theoretical Physics, Universität Regensburg, D-93040 Regensburg, Germany
2
Institute for Theoretical Physics, Goethe Universität Frankfurt, D-60438 Frankfurt am Main, Germany
3
Eötvös University, Theoretical Physics, Pázmány P. s. 1/A, H-1117, Budapest, Hungary
4
MTA-ELTE Lendület Lattice Gauge Theory Research Group, Pázmány P. s. 1/A, H-1117, Budapest, Hungary
5
Institute of Nuclear Research of the Hungarian Academy of Sciences, Bem tér 18/c, H-4026 Debrecen, Hungary
6
HISKP(Theory), University of Bonn, Nussallee 14-16, D-53115 Bonn, Germany
* Speaker, e-mail: giordano@bodri.elte.hu
Published online: 26 March 2018
We will discuss the issue of Landau levels of quarks in lattice QCD in an external magnetic field. We will show that in the two-dimensional case the lowest Landau level can be identified unambiguously even if the strong interactions are turned on. Starting from this observation, we will then show how one can define a “plowest Landau level” in the four-dimensional case, and discuss how much of the observed effects of a magnetic field can be explained in terms of it. Our results can be used to test the validity of low-energy models of QCD that make use of the lowest-Landau-level approximation.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
