  Inspired by the duality between gravity and defects in crystals, we study
lattice field theory with torsion. The torsion is realized by a line defect of
a lattice, namely a dislocation. As the first application, we perform the
numerical computation for vector and axial currents induced by a screw
dislocation. This current generation is called the chiral torsional effect. We
also derive the analytical formula for the chiral torsional effect in the
continuum limit.
