Overlap-Dirac fermions preserve the parity-doubling of the spectrum in a singular monopole background, while naive and Wilson-Dirac fermions break the degeneracy of the Q lowest modes even in the continuum limit.
At the end we will study Wilson-Dirac fermions with Q = 2 in order to make some conclusions about the study of compact QED using Wilson-Dirac and overlap-Dirac fermions
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A curious behavior of three-dimensional lattice Dirac operators coupled to monopole background
Overlap-Dirac fermions preserve the parity-doubling of the spectrum in a singular monopole background, while naive and Wilson-Dirac fermions break the degeneracy of the Q lowest modes even in the continuum limit.