Landau levels in lattice QCD

Falk Bruckmann, Gergely Endrodiy, Matteo Giordanoz, S. Katz, T. Kovács, Ferenc Pittler, Jacob Wellnhofer

Research output: Contribution to journalConference article

Abstract

The spectrum of the two-dimensional continuum Dirac operator in the presence of a uniform background magnetic field consists of Landau levels, which are degenerate and separated by gaps. On the lattice the Landau levels are spread out by discretization artefacts, but a remnant of their structure is clearly visible (Hofstadter butterfly). If one switches on a non-Abelian interaction, the butterfly structure will be smeared out, but the lowest Landau level (LLL) will still be separated by a gap from the rest of the spectrum. In this talk we discuss how one can define the LLL in QCD and check how well certain physical quantities are approximated by taking into account only the LLL.

Original languageEnglish
JournalProceedings of Science
VolumePart F128557
Publication statusPublished - Jan 1 2016
Event34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom
Duration: Jul 24 2016Jul 30 2016

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quantum chromodynamics
artifacts
switches
continuums
operators
magnetic fields
interactions

ASJC Scopus subject areas

  • General

Cite this

Bruckmann, F., Endrodiy, G., Giordanoz, M., Katz, S., Kovács, T., Pittler, F., & Wellnhofer, J. (2016). Landau levels in lattice QCD. Proceedings of Science, Part F128557.

Landau levels in lattice QCD. / Bruckmann, Falk; Endrodiy, Gergely; Giordanoz, Matteo; Katz, S.; Kovács, T.; Pittler, Ferenc; Wellnhofer, Jacob.

In: Proceedings of Science, Vol. Part F128557, 01.01.2016.

Research output: Contribution to journalConference article

Bruckmann, F, Endrodiy, G, Giordanoz, M, Katz, S, Kovács, T, Pittler, F & Wellnhofer, J 2016, 'Landau levels in lattice QCD', Proceedings of Science, vol. Part F128557.
Bruckmann F, Endrodiy G, Giordanoz M, Katz S, Kovács T, Pittler F et al. Landau levels in lattice QCD. Proceedings of Science. 2016 Jan 1;Part F128557.
Bruckmann, Falk ; Endrodiy, Gergely ; Giordanoz, Matteo ; Katz, S. ; Kovács, T. ; Pittler, Ferenc ; Wellnhofer, Jacob. / Landau levels in lattice QCD. In: Proceedings of Science. 2016 ; Vol. Part F128557.
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