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The anomalous dimension of the lattice London superconductor is determinedfrom finite size scaling of the susceptibility to be \eta_\phi = -0.79(1).Indirect determinations of \eta_\phi from properties of the vortex loops in the3D XY model are also attempted, but it is found that the results are sensitiveto details in the simulations related to vortex loop intersections. It issuggested that the same value of \eta_\phi can at most be obtained from vortexloop properties in the limit of low vortex density

Critical exponent η phi of the lattice London superconductor and vortex loops in the 3D XY model

Critical exponent η _phi of the lattice London superconductor and vortex loops in the 3D XY model