Speaker
Yasufumi Araki
(University of Tokyo)
Description
Electrons on suspended graphene (monoatomic layer of carbon atoms) can be described as (2+1)-dimensional massless Dirac fermions strongly interacting with (3+1)-dimensional compact or non-compact U(1) gauge field. By employing the techniques of square lattice regularization and strong coupling expansion, we find that the electrons obtain a finite spectral gap in the strong coupling regime do to spontaneous breaking of global chiral symmetry. The magnitude of the gap is analytically calculated up to the next-to-leading order in the strong coupling expansion. We have also derived a mass formula for the pseudo Nambu--Goldstone boson excitation associated to the symmetry breaking, which is analogous to the Gell-Mann--Oakes--Renner relation for pions in QCD.
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Primary author
Yasufumi Araki
(University of Tokyo)
Co-author
Prof.
Tetsuo Hatsuda
(University of Tokyo)
