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A recently proposed form of dual theory for the three dimensionalsuperconductor is rederived starting from the lattice electrodynamics andstudied by renormalization group. The superfluid density below and close to thetransition vanishes as inverse of the correlation length of the disorder field.The corresponding universal amplitude is given by the fixed point value of thedual charge, and it is calculated to the leading order. The continuum dualtheory predicts the divergence of the magnetic field penetration depth with theXY exponent, in contradiction to the results obtained from the Ginzburg-Landautheory for the superconducting order-parameter. Possible reasons for thisdifference are discussed.Comment: 7 pages, LaTeX, to appear in Journal of Physics

Continuum dual theory of the transition in 3D lattice superconductor