Speaker
Dr
Ferenc Pittler
(Eötvös University)
Description
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 will still be
separated by a gap from the rest of the spectrum. In this talk we
discuss how the eigenmodes of the four-dimensional QCD Dirac operator
are built out of the two-dimensional eigenmodes of the Dirac operator
diagonalized on each slice at fixed (z,t). In particular, starting
from this decomposition, we consider how well certain physical
quantities are approximated by using only the two-dimensional
eigenmodes belonging to the lowest Landau level.
Primary authors
Dr
Falk Bruckmann
(University of Regensburg)
Dr
Ferenc Pittler
(Eötvös University)
Dr
Gergely Endrodi
(University of Frankfurt)
Mr
Jacob Wellnhofer
(Universität Regensburg)
Dr
Matteo Giordano
(Eotvos University, Budapest)
Prof.
Sándor Katz
(Eötvös University, Budapest)
Prof.
Tamás Kovács
(MTA Atomki, Debrecen)
