Landau levels in QCD in an external magnetic field

Falk Bruckmann, Gergely Endrodi, Matteo Giordano, Sándor D. Katz, Tamás G. Kovács, Ferenc Pittler, Jacob Wellnhofer

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Abstract

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.

Original languageEnglish
Article number07014
JournalEPJ Web of Conferences
Volume175
DOIs
Publication statusPublished - Mar 26 2018
Event35th International Symposium on Lattice Field Theory, Lattice 2017 - Granada, Spain
Duration: Jun 18 2017Jun 24 2017

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Bruckmann, F., Endrodi, G., Giordano, M., Katz, S. D., Kovács, T. G., Pittler, F., & Wellnhofer, J. (2018). Landau levels in QCD in an external magnetic field. EPJ Web of Conferences, 175, [07014]. https://doi.org/10.1051/epjconf/201817507014