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arxiv: 1711.08720 · v1 · submitted 2017-11-23 · ✦ hep-lat

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Landau levels in QCD in an external magnetic field

Falk Bruckmann , Gergely Endrodi , Matteo Giordano , Sandor D. Katz , Tamas G. Kovacs , Ferenc Pittler , Jacob Wellnhofer
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classification ✦ hep-lat
keywords landaufieldmagneticwillcasediscussexternallevel
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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 "lowest 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.

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