  A (linear) nonsingular solution for the edge dislocation in the translational
gauge theory of defects is presented. The stress function method is used and a
modified stress function is obtained. All field quantities are globally defined
and the solution agrees with the classical solution for the edge dislocation in
the far field. The components of the stress, strain, distortion and
displacement field are also defined in the dislocation core region and they
have no singularity there. The dislocation density, moment and couple stress
for an edge dislocation are calculated. The solution for the stress and strain
field obtained here is in agreement with those obtained by Gutkin and Aifantis
through an analysis of the edge dislocation in the strain gradient elasticity.
Additionally, the relation between the gauge theory and Eringen's so-called
nonlocal theory of dislocations is given.
