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Résumé |
The talk will focus on dynamical chiral symmetry breaking (DCSB) in
three-dimensional QED with N four-component fermions. The interest in
QED3 comes from its similarities to (3+1)-dimensional QCD and the fact
that DCSB may be studied systematically in this simpler model.
Additionally, QED3 is often used as an effective field theory model
describing planar condensed matter physics systems. In this talk, we
shall present recent results related to the computation of the
critical fermion flavor number, Nc, which is such that DCSB takes
place for N < Nc. The method envolves solving the Schwinger-Dyson gap
equation in an arbitrary nonlocal gauge up to next-to-leading order in
the 1/N-expansion. Our results suggest that DCSB should take place for
integer values N smaller or equal to 3. If times allows, a new mapping
between QED3 and the so-called reduced QED, describing planar Dirac
liquids at the infra-red Lorentz invariant fixed point, will be
presented together with new results on dynamical gap generation in
these liquids. |
