Gauge string in the fermion asymmetric matter

Two new effects of interaction of the gauge string with a homogeneous densi ty of fermions are considered in a gauge model with an anomalous coupling o f vector fields with fermions. First, the presence of an induced nonzero ma gnetic-like helicity on the straight string in demonstrated. Second it is s hown that the equation of motion of the string is modified by a nonlinear t erm that can be decomposed into the correction to the string tension and an additional force perpendicular to the tangent and normal vectors of the st ring. Static configurations are found and their stability is studied. (C) 1 999 Published by Elsevier Science B.V. All rights reserved.