On two descriptions of disordered phase of 2D quantum antiferromagnets: monopole plasma and Kalb-Ramond fields

We have studied a system of light bosonic spinons interacting with compact gauge fields. By the generalization of the works by Polyakov on compact gauge fields the system is mapped to monopole plasma model and a model of open surfaces coupled to antisymmetric Kalb-Ramond gauge fields. The monopole correlation function in the presence of light spinon is computed based on these two models.