The lowest Landau level in QCD

Falk Bruckmann, Gergely Endrodi, Matteo Giordano, S. Katz, T. Kovács, Ferenc Pittler, Jacob Wellnhofer

Research output: Contribution to journalConference article

1 Citation (Scopus)


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.

Original languageEnglish
Article number03003
JournalEPJ Web of Conferences
Publication statusPublished - Mar 22 2017
Event12Ith Quark Confinement and the Hadron Spectrum - Thessaloniki, Greece
Duration: Aug 29 2016Sep 3 2016

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Bruckmann, F., Endrodi, G., Giordano, M., Katz, S., Kovács, T., Pittler, F., & Wellnhofer, J. (2017). The lowest Landau level in QCD. EPJ Web of Conferences, 137, [03003].