The lowest Landau level in QCD
1 Universität Regensburg, Institut für Theoretische Physik, Universitätsstraße 31, 93053 Regensburg, Germany
2 Institute for Theoretical Physics, Goethe University, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany
3 Institute for Theoretical Physics, Eötvös University, and MTA-ELTE Lattice Gauge Theory Research Group, Pázmány P. sétány 1/A, H-1117 Budapest, Hungary
4 Institute for Nuclear Research of the Hungarian Academy of Sciences, Bem tér 18/c, H-4026 Debrecen, Hungary
5 HISKP (Theory), University of Bonn, Nussallee 14-16, D-53115, Bonn, Germany
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Published online: 22 March 2017
The thermodynamics of Quantum Chromodynamics (QCD) in external (electro-)magnetic fields shows some unexpected features like inverse magnetic catalysis, which have been revealed mainly through lattice studies. Many effective descriptions, on the other hand, use Landau levels or approximate the system by just the lowest Landau level (LLL). Analyzing lattice configurations we ask whether such a picture is justified. We find the LLL to be separated from the rest by a spectral gap in the two-dimensional Dirac operator and analyze the corresponding LLL signature in four dimensions. We determine to what extent the quark condensate is LLL dominated at strong magnetic fields.
© The Authors, published by EDP Sciences, 2017
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