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arXiv · 1711.08720

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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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 "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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Falk Bruckmann, Gergely Endrodi, Matteo Giordano, Sandor D. Katz, Tamas G. Kovacs, Ferenc Pittler, Jacob Wellnhofer. 2017-11-23. Landau levels in QCD in an external magnetic field. https://doi.org/10.1051/epjconf/201817507014

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