TOPOLOGICAL CURRENT STRUCTURE OF DISCLINATIONS IN THE 4-DIMENSIONAL GAUGE FIELD-THEORY OF DISLOCATION AND DISCLINATION CONTINUUM

The topological current structure of disclinations in the 4-dimensional gauge field theory of dislocation and disclination continuum is approached by making use of the decomposition of gauge potential. It is shown that the topological stable disclinations are identified with the disclination points, which are classified in terms of the topological invariant-wrapping number. The topological current of the disclinations is derived to correspond to a 4-dimensional kinetics current of a set of moving point-like objects which is just the zeros of the parameters field. The velocity of the topological disclination is determined by the Jacobians of the parameters field at the zero points. It is also shown that the disclination points are characterized by Brouwer degree and Hopf index.