Landau levels in QCD in an external magnetic field
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: firstname.lastname@example.org
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
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