Abstract
Ginzburg-Landau type free energy functionals for uniaxial nomatic liquid crystals and superfluid 4He are systematically transformed to obtain a gauge theory description of these systems with coefficients in the gauge theory expressed in terms of form factors which reflect amplitude variations of the order parameters in the core regions of the defects. Peach-Koehler type forces acting on line defects are obtained as minimal coupling in the gauge theory. The nonlinear static stress (the “distortion stress”) in nematics is also expressed in a gauge covariant form where an argument is given for the absence of defect core contributions bilinear in gauge fields, to lowest order in ξ R with ξ the diameter of the defect core and R the radius of curvature of the disclination line.
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