Abstract
We propose a microscopic theory of quantum vortices in 4He films at zero temperature, and calculate the energy needed to create a single vortex, the vortex inertial mass, the microscopic interaction between vortices and the binding energy of the vortex-antivortex pair as a function of density. At 4He densities less than 0.037A˚ -2 the binding energy of the pair becomes negative, indicating an instability for the creation of a novel state. We discuss the microscopic scenario of the Berezinskii˛-Kosterlitz-Thouless (BKT) phase transition.
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