The lowest Landau level in QCD

  • The thermodynamics of Quantum Chromodynamics (QCD) in external (electro-)magnetic fields shows some unexpected features like inverse magnetic catalysis, which have been revealed mainly through lattice studies. Many effective descriptions, on the other hand, use Landau levels or approximate the system by just the lowest Landau level (LLL). Analyzing lattice configurations we ask whether such a picture is justified. We find the LLL to be separated from the rest by a spectral gap in the two-dimensional Dirac operator and analyze the corresponding LLL signature in four dimensions. We determine to what extent the quark condensate is LLL dominated at strong magnetic fields.

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Author:Falk Bruckmann, Gergely EndrödiORCiD, Matteo GiordanoORCiD, Sándor D. KatzORCiD, Tamás G. KovácsORCiD, Ferenc Pittler, Jacob Wellnhofer
Parent Title (English):EPJ Web of Conferences
Publisher:EDP Sciences
Place of publication:Les Ulis
Document Type:Conference Proceeding
Year of Completion:2017
Date of first Publication:2017/03/22
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Contributing Corporation:XIIth Quark Confinement and the Hadron Spectrum
Release Date:2019/04/09
Issue:Article Number 03003
Page Number:10
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - Namensnennung 4.0