Gauge parameterization of the $n$-field

Abstract

We propose gauge parameterization of the three-dimensional $n$-field using orthogonal SO(3)-matrix which, in turn, is defined by a field taking values in the Lie algebra so(3) (rotational-angle field). The rotational-angle field has an additional degree of freedom, which corresponds to the gauge degree of freedom of rotations around the $n$-field. As a result, we obtain a gauge model with local SO(2)=U(1) symmetry that does not contain a U(1) gauge field.

10 pages, 1figure

References in corpus (1)

• Chern--Simons term in the geometric theory of defects

Cited by in corpus (1)

• Disclinations in the geometric theory of defects