Landau levels in QCD in an external magnetic field
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.
Cite
@article{arxiv.1711.08720,
title = {Landau levels in QCD in an external magnetic field},
author = {Falk Bruckmann and Gergely Endrodi and Matteo Giordano and Sandor D. Katz and Tamas G. Kovacs and Ferenc Pittler and Jacob Wellnhofer},
journal= {arXiv preprint arXiv:1711.08720},
year = {2018}
}
Comments
8 pages, 5 figures; to appear in the proceedings of the 35th International Symposium on Lattice Field Theory (Lattice 2017), June 19-24, 2017, Granada, Spain