  Minimally doubled fermion proposed by Creutz and Borici is a promising chiral
fermion formulation on lattice. In this work, we present excited state mass
spectroscopy for the meson bound states in Gross-Neveu model using
Borici-Creutz fermion. We also evaluate the effective fermion mass as a
function of coupling constant which shows a chiral phase transition at strong
coupling. The lowest lying meson in 2-dimensional QED is also obtained using
Borici-Creutz fermion.
